Physics-
General
Easy
Question
The effective capacitance between points
is
![](data:image/png;base64,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)
- 9
- 3
- 6
- 1
The correct answer is: 9 ![mu F](data:image/png;base64,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)
Related Questions to study
physics-
A gang capacitor is formed by interlocking a number of plates as shown in figure. The distance between the consecutive plates is 0.885 cm and the overlapping area of the plates is
The capacity of the unit is
![](data:image/png;base64,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)
A gang capacitor is formed by interlocking a number of plates as shown in figure. The distance between the consecutive plates is 0.885 cm and the overlapping area of the plates is
The capacity of the unit is
![](data:image/png;base64,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)
physics-General
physics-
A parallel plate capacitor with air as the dielectric has capacitance
A slab of dielectric constant
and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be
![](data:image/png;base64,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)
A parallel plate capacitor with air as the dielectric has capacitance
A slab of dielectric constant
and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be
![](data:image/png;base64,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)
physics-General
physics-
Four capacitors are connected in a circuit as shown in the following figure. Calculate the effective capacitance between the points
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![](data:image/png;base64,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)
Four capacitors are connected in a circuit as shown in the following figure. Calculate the effective capacitance between the points
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![](data:image/png;base64,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)
physics-General
physics-
Equivalent capacitance between
is
![](data:image/png;base64,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)
Equivalent capacitance between
is
![](data:image/png;base64,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)
physics-General
Physics-
Effective capacitance between points
in the figure, shown is
![](data:image/png;base64,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)
Effective capacitance between points
in the figure, shown is
![](data:image/png;base64,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)
Physics-General
physics-
The total energy stored in the condenser system shown in the figure will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVoAAAGZCAYAAADILflsAAAgAElEQVR4nOzdeXTU15nn/3etKlWVqrSUpJJU2kv7viEEYjNgecE4NsFx2k5nEk/iTHe6ZzI505nu/qNzZiZnctI93TOTTCfp5BfHa+IFGwNmx2BWIUCALIFAAq2gXUK7VOvvD7eqwWYRGKm0PK9zfI4tVN96VKg+vnW/9z5X4fV6vQghhJgxSn8XIIQQC50ErRBCzDAJWiGEmGEStEIIMcMkaIUQYoZJ0AohxAyToBVCiBkmQSuEEDNMglYIIWaYBK0QQswwCVohhJhhErRCCDHDJGiFEGKGLeigHR0dpauri4mJCX+XIoRYxBZ00DY0NLB9+3auXr3q71KEEIuY2t8FzKSWlha2bdtGdXU1RUVF5OXlkZKSgtls9ndpQohFZEEHbVdXF0eOHMHhcHDmzBk2btyI2+2msLAQjUbj7/KEEIvEgg5at9uNVquloqKC/Px82tvbeeWVV9i5cycbNmygpKTklu/3er0oFAo/VSuEWKgWdNACGAwGVq1axapVq9i5cyfnzp3j2rVrmEwmlEolVquV0NBQAgMDJWSFEDNiQQet1+vF6/XicrmwWq1861vf4tq1a5w9e5bt27fz9ttvs379ep588kmWLVvm73KFEAvUgg7aKR6PB51Oh16vJywsDL1eT39/P1qtlr6+Pg4ePEhHRwdZWVkkJSWh1Wr9XbIQYgFZ0Mu7buZyufB4PAAkJyfzgx/8gH/8x38kNzeX8+fP87Of/Yx33nmH1tZWHA6Hn6sVQiwki2JE+3lTc7FWq5W1a9cSGRlJbW0t7e3t/P3f/z25ubmUlpZSXFzs50qFEAvBogzam6WlpZGamkp+fj5vvPEGe/fu5caNGzgcDgIDA4mNjUWn08l0ghDigS36oIXPRrg2m42XX36ZiooKqqqqOH/+PDt37mTZsmVs3ryZzMxMlMpFM9MihHiIJGj/VUBAAFarFavVilarxel0cuPGDVpaWti3bx/t7e2kpKSQkJCASqXyd7lCiHlEgvY2CgoKSEtL49lnn2Xbtm3s2LGDAwcOUFpayre+9S1sNpu/SxRCzCMStLehUCgwGAwkJiaydu1aDAYDzc3N9PT08I//+I+kp6dTVlZGenq6bOUVQtyTBO09ZGdnk52d7Zuz/eMf/0hNTQ0ejwelUklqaipqtVp2lQkh7kiCdppSUlLYvHkzRUVF1NTUcOrUKSorK0lJSeH5558nOTnZ3yUKIeYoCdpp0uv12O127HY7VquVkZER6uvruXDhAvv376erq4vY2FgiIyNlKZgQ4hYStA8gOzubuLg4GhsbOXHiBG+++SZqtZoNGzbw1FNPkZKS4u8ShRBziATtA1AqlQQHB5OdnY1KpWJsbIzW1lba2tp49913sdvtFBYWkpCQgFotL7EQi52kwJeg0+koKCigoKCA2tpatmzZwqFDh9i3bx8vvPACa9asITY2VqYShFjkJGgfErvdzqZNm8jIyKC+vp5PPvmEU6dOsWTJElauXCnTCUIsYhK0D4lOpyM7O5uUlBSSk5N59dVXuXLlCkqlEoVCgcPhwGq1YjKZZO2tEIuMbN5/yAICAsjKyuLv/u7v+Nu//VtiY2N57733eOmll/jjH/9IR0eHv0sUQswyGdHOAJ1Oh06no6SkhMnJSZxOJxcvXqS+vh6Xy0V6ejrp6enEx8f7u1QhxCyQoJ1BGo2GNWvWsGLFClpbW/nlL3/J+++/T2RkJOvXr+eZZ54hLCxMdpUJscBJ0M4CtVpNfHw8zz33HOnp6TQ3N3PmzBnOnj1LWVkZZWVl2O12f5cphJghErSzRKVSUVJSQn5+PseOHePDDz/kyJEjTE5O+m6YRUdHo9VqpQ2jEAuMBO0s02g0FBUVERcXx8aNGzl8+DAfffQRu3btoqysjK9+9atERkb6vt/r9crUghDznATtLJoKzaCgIIKCgkhKSsLlcuFwOGhubqaurg6NRkN6ejrJycnExMRIyAqxAEjQzqLbheb69espLi6mrq6OXbt28etf/5qUlBQqKir4yle+QkhIiB8qFUI8TBK0c0BISAjZ2dkAhIWF0dnZyfnz52loaCAzM5NHHnmE6OhoP1cphHhQErRzRHBwMOXl5ZSXl/Pxxx+zbds2du7cSU1NDSaTifz8fN95ZkKI+UWCdg4qKioiPDyc1atXc+7cOV555RWio6NZvnw5a9euveVmmRBi7pOgnYPMZjM5OTlkZ2cTGhpKe3s7fX19VFdX43a7yczMJCEhgZCQEDkCXYh5QIJ2DlMoFCxbtoy8vDwqKys5cOAA//zP/0xoaCgvv/wyy5cvJywszN9lCiHuQYJ2jlOr1ZjNZgoLC3G73ej1erq6ujh8+DCNjY2kpaVRVFSE1Wr1d6lCiDuQoJ0nwsPDeeKJJ3jssceorKzkF7/4BVVVVcTGxuJ2u1m1ahUGg0FOdBBiDpJ35TyjVCrJzs7m+9//PpcuXeLq1au899577N27l8cee4ySkhK5WSbEHCNBOw+ZTCaWLVtGVlYWJ06coLm5mbNnz6LVapmcnGTp0qVERERIg3Eh5ggJ2nnMbDazfPly4uLiqKys5O233+b8+fNUV1fz7LPPUlRU5O8ShRBI0M57QUFBZGZmotPpGBgY4MqVKwwMDPDRRx/R0NDgO41XNjoI4T+yCHOBSEpK4oc//CE//OEPyc3N5ejRo/zDP/wD+/fvp6WlBa/X6+8ShVi0ZES7wMTHx7NmzRosFgv19fXU1tZSV1dHbGwsa9eupaSkxN8lCrHoSNAuMGq1mrS0NNLS0mhtbeX//b//x6lTp2hsbESj0RAUFERkZCRGo1FulgkxSyRoF7CoqCj+4i/+gubmZi5dusThw4fZs2cP69evZ/369eTn5/u7RCEWBQnaBUyj0WCz2bDZbFitVgYGBhgeHqapqYmPP/6Yzs5OUlNTiYuLk40OQswguRm2SCQlJfEXf/EX/OxnPyM+Pp5Dhw7x4x//mDfffJOuri65WSbEDJJhzCKhVCoJCAggOTmZdevWYbFYuHz5Mh0dHfyf//N/yMvLo6CggMzMTH+XKsSCI0G7yCgUCoqKiigoKKCpqYm33nqL7du3c/36dUZHR9FqtcTGxqJWq+U0XiEeEgnaRUqpVGKz2XjhhRcoLi7m3LlznDx5kn379lFaWspXv/pV3/HnQogvR4J2EQsICCApKYmkpCT0ej3j4+Ncv36dtrY22traMJlMhIaG+rtMIeY9CVoBwLJly8jIyKC1tZWuri56e3sZGhryBa3H4wE+m3qQI9CFuD8StAL4bClYREQEwcHBdHV10d/fT3BwME6nk4sXL9Lf349GoyExMVFO5BXiPknQiltM3QyLjY0FYGBggKqqKhobGzEYDDz66KMStELcJwlacVder5fJyUnGx8dRqVS4XC5/lyTEvCNBK+5JqVSiVCpRKBS+JV8jIyOMj4+j0WgwGAzSN0GIu5CgFdOmUCjQaDS43W4OHTpEa2srERERFBcXk5CQ4O/yhJizJGjFffF6vSiVSkJDQ2lpaeHs2bO0tLSQnp5OXl4eNpvN3yX63cjICFevXuXcuXOMjY0RHR1NRkYGdrt92is2hoeHcTgchISEMDk5SV9fH0FBQZjN5hmuXswE6XUg7ovL5UKhULBs2TKKi4u5ceMGW7Zs4Wc/+xmHDx+mr6/PtxRssWpoaOCDDz7gRz/6EX/5l3/J//2//5czZ85M63VxuVwMDg5y6dIl6uvrcTqd9PX1cfjwYZqbm2ehejETZEQr7svNzWdSUlL42te+Rn5+Ps3NzRw8eJDq6mrKysooKSkhLi7Oj5XODq/X6xuldnZ2cujQIaqqqujo6ODFF18kOjqaqKgo8vLypjWabWhoYP/+/bS2tmK1WsnJyaGzs5Nt27ahVCrJy8u79fk7qrhes5tXD7RQ3TJBsMmA1+NmYmICj8fj+/vyeDwEBASwbt061qxZg9VqlV1/s0iCVjyw0NBQVq5cydKlS6mtreWXv/wlp06dwuVy4Xa78Xg8hIeHExgYiFK5MD883RyeFy5cYPfu3fT29pKamspf/uVf+pbJTdeVK1d4//330Wq1BAcHo1Kp6O/v59SpUxQXF3/xAWNdjLSc5MQn59lRdc33Zb1ej1qt9m0wGRoawuPxoNVqSUtLIywsTIJ2FknQii9Nq9WSnp7OX//1X3Px4kWOHz/OO++8w1tvvcXmzZt5/PHHF/RW3rGxMc6cOcOpU6dQKBT86Z/+KU899RSBgYH3fa2hoSE6Ojr46le/yte//nUMBgMul+uOTX4UtnJsGxL467QOCg9V8vYf3iI5OZnnn3+emJgYDAYDKpWKixcvUllZSUJCApOTk7JMb5ZJ0IqHQq/Xk5SURGRkJE6nE4fDwdWrVzlz5gwOh4P09HTfny80N27c4PTp0zQ3N2M0Gunr6+Po0aN4vV6sVisZGRnTXv7mcrlwOBzExcWRlJQEfDY9oVKpPhe0/zqFExCCITqE4ogsRifh0McHSEpK4pFHHiEmJsb33bm5uSQmJuLxeLBYLLIcb5ZJ0IqHymAw8NRTT7Fq1SquXLnCb3/7W371q1+RlZXFo48+ylNPPYXBYPB3mQ+N1+ult7eXixcvMjY2RnJyMq+++ionT54kPDyczZs387d/+7fT3k3ncDjQarUEBAT4vjY5OXnLfOtn/m3Kwuv1MjJ0g6HhYVwuF5OTkwwODhIWFoZOpwM++9SxdOnSzx6pUCzYqZy5SoJWPHQqlYqQkBAyMjLYtGkTycnJdHd3c/z4cT799FOWLVtGaWkpFovF36V+KV6vl4GBAdrb22lra0OtVhMcHMzGjRvJzs6msrKSS5cusXv3blatWkVycvIdr9Xd3c27777LRx99hEKhIDAwEJfLxcGDB9m+fTvd3d10dHTQ19dHSEjILUHp9XpvCWGtVktQUJAvZOvq6lAqlSQnJ8u8rJ9I0IoZYzAYWL9+PStXrmTPnj1s376dgwcPMjg4iFarJTs7m4iICN+us/mor6/P1zTdYrFgs9lYt24dSqWSn/3sZ5w6dYr9+/cTHh5+z6D95S9/SV1dHSkpKYyPj1NfX8/bb7/NRx99xMDAAC0tLdTX15Obm0tQUNAtj596/bxeL8PDw7S3t2MwGBgaGmLPnj2YzWaCg4MJDw+X8+H8QF5xMeMCAgJYtmwZ8fHxPP7441RWVvIv//IvhISEsHz5cjZv3oxer/d9/81Lpua63t5eBgYGiI6OJicnh/LyckJCQnC5XKxatQqPx0NdXR0DAwP3vNbUHGxnZycnTpygv7+fK1euMDg4CEBrayv19fUkJyffErRTKwu8Xi8TExPs2rWLU6dOodVqUSgUOBwOHn/8cR577DEJWT+RV13MqKnQtFgsWCwWcnJycDqd9PT00NvbS3V1NUajkbS0NGJiYggJCZk3Iev1ehkdHWViYgKTyYTNZiMqKsr353a7natXr1JdXc3IyAiTk5O3zL3eTKPRoNFoMBqNZGRkoNPpcDqdJCcn43a76e7uJi0tjdDQ0HuG5dQ8rdvtRqlU+uZ358vruhBJ0IoZ9fk3t1Kp5Nlnn2XFihXU1tZy4MAB/sf/+B8UFBSwefNmVq5cOa9ulk1Ne3g8Hlwuly/QpuZZNRoNExMTjI+P43A47hi0CoUCp9NJTk4Of/Znf0ZcXBw6nY7y8nL6+/vp7+8nMzOT3Nzc286zTj1vQEAATzzxBP/+3/97UlNTGRoa4sMPPyQkJATAt1RMzC55xcWs02g0vvPIpgJieHiYQ4cOceHCBTIzM1m6dKkvHOYqhUKB0WgkKCiIyclJRkdHcbvdvo0CAQEBGAwGjEYjAQEBt73T7/F4uHLlCjt27ODatWusWLGCFStWEBoaitPpRK1W43A4GB8fx2Kx+EL25hHqzTfDlEolISEh2O12oqOjiY6OxuFw4PV6CQoKklGtn0jQCr+xWCxUVFSwZs0atm/fzpYtWzhw4AB2ux2j0UhOTg4mk2lOL0UKCwsjLCyMkZER+vr6GB0dxWw2+6YVFAoFsbGxRERE3HY06/F42LdvH++++66vcUx8fPw9n/dOgTnVP3hoaIjx8XECAwPJzc390j+n+HIkaIXfabVaysvLCQ8Pp7GxkYaGBv75n/+Z+Ph4VqxYwfLlywkODvZ3mbdltVqxWCy0t7ej1Wrp6OjAbDajUqk4duwYDQ0N5OXlYbfbb/uR3ev14nQ6cTqdAA+0kWBqXezNfYPF3CJBK+aEyMhIIiMjKSgo4JNPPvF1r5qaXsjKyiI8PByj0Tgr9Ux9FL9baCkUCgwGA9HR0SQmJuJwOPj444/p6+sD4Pjx42i1WtauXUtiYuJtr6FUKklISGDZsmVYLBaysrLu/8aVQoHH68XlcuF0OvF4PHfcsiv8Q4JWzClGo5HVq1eTnZ3NqVOnOHLkCP/0T/9EZGQk3/3ud1myZMktS8FmgtfrZXx83HdD616Sk5P5q7/6Kz788EP+1//6X/T09GAymUhNTeWpp54iMzPzjiNypVLJmjVrKCkpweFwYDQa7yNkvYACBeByeRgdHeXGjRs4nU4CAwNlc8IcIkEr5pSpG0xGoxG1Wo3L5fJ1sNq3bx9NTU1kZmaSlpY2Y9MJLpeLo0eP4vF4WLp0KWaz+a7hZzAYKCgoYGhoiM7OTt9mgaKiIkpKSu5Y59TI1WQyYTKZbvtnd6eA4Wb6rlbz4cELvL+3kqamZrxeL7/61a9Yv349ubm5vqkM4T8StGLOstlsfO1rX+Pxxx/nxIkT/OIXv+Dw4cMUFxfz9NNPs3z58hlpjjI6OsrOnTvxeDzY7XaCgoLuGVQqlYo1a9awevVq39fuFZT3mpaYDm9nNd1Hfs47/99ZDtR+trGhoaGB//k//yfj4+OEhoai1+slaP1MglbMaUqlkuDgYIqKivjzP/9zLl26xLVr13jzzTfZs2cPTz75JAUFBQ9t7e3Q0BANDQ0EBgZiNpvvazQ4tX52VlmyiVj2Mi8H9bC+24lRr8Ph+KwJTWFhIVFRUbJudg6QvwExL0RERPDEE09QWFjI7t27+fDDD7lw4QJmsxmPx0NKSgqhoaF33BAwXZcuXeL8+fMkJiZit9vn/lrekFTCQlLZXOjvSsTdSNCKeSU8PJwnnniC4uJiLl68yO7duzl27Bg2m42vfOUrVFRUfKnrnzt3juPHj/PCCy+wZMkS+cgtHgoJWjFvTDXAjoiIICIigqioKDo7Ozl37hzDw8McO3aMkZER0tPTiYuL+0KHq7uZnJykra2NwcFBjEYjNptt1paSiYVPglbMG5+f/wwNDeX73/8+165d4/Tp07z99tts3bqVjRs3smHDBl+j6+m4du0an3zyCUFBQVRUVBAeHv6wyxeLmAStuC+3dvn3r6ngtdlsALjdblJSUhgcHOTdd9/l0KFDLF26lLKysnvO3V6/fp3KykrKyspYsmTJfS0dc7lcdHV1MTg4iNvtJjo6mrCwsAf/wcSCI0Er7stc3d5ps9mw2WysWbOG119/nQMHDnDkyBFu3LhBcHAwcXFxt11B4Ha76e/vp6WlheHhYUJDQ4mIiLiv5x4dHaW6upr+/n5CQkIICgqSoBW3kKAV9+R2u/F6vajV6jnd4AUgJCSETZs2UVhYSGNjI6dPn+bv/u7vKCoqYvXq1ZSXl9/yMwwPD/PKK68wODjIc889R2Hh/d++HxgY4P3338disfC9731v2ueDicVDglbclcfjYWxsDLfbjV6vn/PbOhUKhW90m5qaisPh4Pr16zQ3N3P8+HFGR0dJTU0lOjqawMBAent7uXTpEuHh4Sxfvvy+T+kdHR2lra0Np9NJcHAwsbGxc/41ErNPglbclcfjYXBwEIfDgdls9h34Nx+Eh4fzzW9+k4qKCvbu3cvhw4f54IMPWLFiBd/61rfQ6XS0t7cTFxdHQkICoaGh9/0cZ86c4dKlSzz55JOkpaXJMd7ithZ00N68U2cu3cSZT7xeL26329cRaq5PHdxMqVSi0+l83bG0Wi2RkZE4nU7eeecdBgcHCQgIoKCggIKCgvsOSafTSU1NDU1NTbzwwgtkZmbO2Tls4V8LOmhv7jwvb4AHN/U/LI/H4+9SHlh2djZZWVn09vbywQcf8Lvf/Y6LFy+SkZHB1772NdLS0u7rek6nk2vXrtHe3s7IyAiRkZHzarQvZteCDlqn08n4+DgqlYrAwMB5NRoTD59CoSA8PJzc3FzKy8sJCAggIiLigT7unz17lu3bt2OxWFizZs2c36or/GtBJ4/D4WBsbAy1Wi1zZ8LHYDBgtVpZtWoVa9euxWg03vfU0pUrV6ipqSEuLo6VK1dOq2+tWLwW/Ih2bGxM9qsLH4/HQ319PSdPnmTz5s1s3LgRjUYz7amlyclJWltbmZycJC0tjfj4eAlZcU8LOmg9Hg9ut1vmZwUAIyMjnD59mvb2dux2O+np6fc9r9rb28uOHTtwuVysXLmShISEGapWLCQLeurAL/1BxZzV29vLtm3bGBwcZNOmTdM6bfbz2tra2L17N0NDQzzyyCP3ve5WLE4LOmiFgH9botbT0+M7DjwtLQ2z2Tzta7hcLj799FOuXr1KaWkpJSUlM352mVg4FvTUgRBTLly4QENDAzabjZSUlPtqoQifbbP9+OOPaWtro6ioiPT09BmqVCxEErRiwVMoFGzZsoWmpia++93vkpeXd1+PHxsb4+rVq+zYsYOmpiYMBgOZmZkzVK1YiCRoxYLmcDhobm6mv78fnU5HSkrKfTf0bmtr49y5c76G4IODg1RWVjIwMEBaWhpRUVEzVL1YKCRoxYJ24cIFKisrSU5OJj4+/oHmVevr6zlz5gwbN24kJCSEc+fOsWvXLt566y2+/e1v8/TTT8/Y0ediYZCgFQtaV1cXV65cYcWKFZSWlt73mtfR0VH6+vpwOp0kJSWRk5NDVFQUsbGxXLhwgWPHjlFXV0dBQQHFxcWkpKTM0E8i5jMJWrGgKZVK9Ho9ycnJ970Ua3BwkAsXLjA2NkZSUhJRUVGEhoZSWlpKfn4+Fy5c4Oc//zl79uyhq6sLp9NJUFAQoaGh864Bj5hZErRiQSsoKCAhIWHazbi9Xq9v7XV7ezu//vWvSUtLY/PmzcTFxfm+LyAggNTUVP7qr/6Ky5cvc/78eQ4ePMjOnTupqKjgsccek7lb4SNBKxY0i8WCxWIBbg3RO5n686mbaD09PZSVld12OZfBYCA9PZ309HT0ej1jY2OcO3eO6upq1Gq1b4uubGoQErRi0biffgaHDh2iqamJiooK8vPz7/mYlStXkpuby9WrV3nvvff4zW9+g9VqZe3atbzwwgtydPkiJ0ErxOeMjIxQVVXF+Pg4zzzzDKmpqXf83qlRslarJSIiAqPRyPDwMMHBwfT09HDx4kV+/vOfk5+fT0FBAVardRZ/EjFXSNAKcZOpM8ba29sJDQ0lOzv7risVPj9K1uv1rF+/ntWrV3P8+HG2b9/OG2+8waVLl/B6vRQVFclUwiIkQSvETU6cOMHJkyfJyMggKyuLgICAB7qORqMhLy+PoKAg8vLyqKur4+2332bHjh0UFxezefPmW7YBT2f+WMxfErRC3GR0dBS3201xcfGX3mYbHBxMYWEh+fn5bNu2jQ8//JCmpibcbjeRkZGkpqZisVgwm82yFGyBk6AV4iYrVqxgyZIl6PV6AgICHkoAKpVKKioqKCws5NKlSxw7doyf/OQnxMfHs3HjRioqKh7oBF4xf0jQCnGToKCg++7sNR2BgYHExcX5tuoODAwwPDzMuXPnGBgYID09nfz8fAncBUo+rwgxi0wmE+vWreOnP/0pzz33HKOjo7zxxhv8/Oc/p6amhpGREX+XKGaAjGiFmGUKhYLAwECKi4vR6/VkZWVx9epVXnvtNfbv309paSllZWW+jRZi/pOgFcJPLBYLK1eupKCggKNHj/LrX/+atrY2nE4nKpWKgoICgoOD0el0siJhnpOgFcLPjEYjy5YtIyEhgZqaGk6fPs2vfvUrTCYT3/72tykrK5OTduc5CVoh/EyhUGA2mzGbzYSEhOD1ehkfH6e7u5tPPvmErq4uUlJSSE5OJiQkxN/ligcgQSvEHGK1Wtm0aRNr166lurqaX/3qV+zdu5e8vDyeffZZ1q1bJ2tu5yEJWiHmGI1GQ3h4OIWFhbz44ovU19fT39/P9u3bOXnyJI888gh5eXnSqGYekaAVYo4KDw9n06ZN9PX1sW/fPrZs2cKxY8dQKBQolUpSU1MJDg5GpVL5u1RxDxK0QsxxoaGhrFmzBrvdTn19PUePHuXv//7viYiIYMOGDWzYsMHfJYp7kKAVYg6bajYTGRlJZGQkdrud/v5+BgcH6erqorKyEpVKhd1uJyoqSqYT5iiZVRdiDvv8+lmTycTLL7/MT3/6U1566SU6Ozv5m7/5G1555RU+/fRTP1Up7kVGtELMI0qlkoCAAOLj4wkICGB8fByTycTw8DDbt2/nzJkzFBQUUFRUhE6n83e54l9J0AoxT1mtVjZv3sy6det444032LdvH3v37uXq1auYTCYSExNlKmGOkKAVYp4LCQlhw4YNpKWl0djYSH19PT/5yU/Iy8ujvLycsrIy1Gp5q/uTvPpCLACJiYkkJiaSn5/P1q1b+eCDD6itrUWpVOJ2u7Hb7VgsFplO8BMJWiEWkLCwMJ5//nlWrVrFJ598wokTJ/joo48oLCzkO9/5DmlpaTK69QN5xYVYQFQqFSaTCZPJhNPpBECn0zEyMsKWLVvIyMggMzMTu93+wOehifsnQSvEApWdnU16ejq9vb1s376d3//+91RVVbFixQo2btxIWlqa9E2YJRK0QixgarUaq9XK2rVrCQkJoaGhgWvXrvEP//APpKSksGHDBtLT02U6YYbJqyvEIpCUlERSUhLnz59n586d7N69m46ODsLCwlDNkW0AACAASURBVJicnCQxMRGTySSBO0PkVRViEUlLSyMsLIyKigpOnz7N3r172b17N5mZmXzta18jOzvb3yUuSBK0QiwiOp0Om82GzWbDYDDQ2dlJc3MzHR0d7Ny5k5aWFtLT04mJiZGlYA+RBK0Qi1RaWhp/8zd/4+sI9vbbb/Phhx/y/PPPs379etLT0/1d4oIhQSvEIqZWq0lJSUGhUKDVamloaKChoYH29nbi4uJYtWoVWVlZcjjklyRBK8QiFxAQQFZWFllZWVy+fJnf//73nDlzhtOnTwOfnfgw1YJRloM9GAlaIYRPQkICL730EqtXr6a+vp4TJ05w6NAhVq5cySOPPEJWVpa/S5yXJGiFED5arZbk5GQSExOx2Wz09fVRU1NDfX09KpWKoaEhEhISsFgsaDQaf5c7b8jnACHEFyiVSlJSUvjRj37Ef/tv/w2bzcaePXv44Q9/yB/+8Ac6Ojr8XeK8IiNaIcRtaTQaNBoNmZmZjIyMYDQauXDhApcvX+Z3v/sdubm55OXlkZyc7O9S5zwJWiHEXalUKsrKyigqKuLKlSv87ne/Y/fu3Vy9epXBwUHMZjNhYWHAF4/eEZ+RoBVCTItWqyUxMZFvf/vblJWVUVdXx5EjR9i5cydr1qzhySefJD4+3t9lzkkStEKIadPpdGRkZJCRkYHZbObGjRvU1dVRVVWFyWRiYGCAuLg4QkJCZHR7EwlaIcQDWbZsGVlZWbz44ovs2LGDN954g9DQUFasWMGLL75IUFCQv0ucMyRohRD3xev1olAoCAwMJDAwEKvVyvDwMG63m+7uburr6/nNb37jazIeFxe36Ee3ErRCiPtyu9BcuXIlpaWlnDx5kh07dvDLX/6S9PR0/uRP/gSNRkN0dLQfKp07JGjFPU29sbxeL16v18/ViLkqICCA7OxsAgICsNvtNDU1ceTIEaqrq8nOzuaJJ54gPDzc9/1TI+PFQIJW3JPH48Hr9aJSqWSvu7ir0NBQSktLKS0t5dChQ2zZsoXa2lq6u7sJCQkhOzubsLAwgoKCFtXvkgStuCuPx8PY2Bhut5vAwEDZdimmbcmSJcTGxnLp0iVOnTrF//7f/5uIiAgee+wxHn/8cSIjI/1d4qyRoBV35fV6GRsbw+Vyodfr0Wq1/i5JzBN6vZ7k5GQsFgtarZauri4GBgaoq6vD4/GQmZlJUlISFotlwY9uJWjFXXk8HsbHx/F6vTKiFQ/EZDKxZs0aVqxY4btZ9sYbb6DX63nppZdYvnw5ERER/i5zRknQinuaugGmVCoXzc0L8fAoFApUKhUqlYrc3Fw8Hg/R0dE0NTWxe/duzp8/T1FREUuWLFmw0wkStOKeFAqFrDgQD0VwcDCrV6+moKCAU6dO8dvf/paGhgYGBgZQKpUsW7YMvV6PRqNZUNMJErRCiFlnMpkoLi4mJiaGuro6qqureeONN3jnnXd45plnWL58+S1LweY7CVohxKxTKBQEBwcTHBzs28wwMDBAa2srJ0+eZGJigoyMDOLj4wkODvZztV+eBK0Qwq/MZjMbNmzwdQR7++23+e1vf0tcXBxPP/00Tz/9tL9L/NIkaOcxp9PJxMQEgYGBKJVKhoaGUKvVGI3Gh/YcKpXqoV1LiM+b2h2m0+mIiYlBp9MxOjpKbW0tvb29HD58mMbGRvLz88nKysJqtfq75AciQTuLvF4vHo8Hp9Pp+wVTq9WoVKr7ups/teSqp6eHoaEhEhMTUavVXLhwgaCgILKzs297Pa/Xi9vtxu12T+vGlk6nw+VyyU0wMWM+/3saFhbGM888w+rVq/nkk0/YsmULu3fvZu3atTgcDpYtW4bZbPZTtQ9OgnYW3bhxg+PHj/Pb3/6W5uZmIiIi+MY3vsHjjz/u61A/HYODg5w6dYra2lpGRkZ48cUXMRgMvP766yQmJpKdnX3bxzU1NVFZWcmuXbtoa2vDbDbjdruZmJjwbbMFcLlcGI1GvvnNbxIbG4vT6USn0z2U10CI6QgJCaGsrAyLxcLFixepr6/nvffeY9++faxZs4YNGzbcEtJzvW+CBO0sGR0d5cqVK3z66adcuXKFy5cv09LSgtVqxWAwUF5ePu27rAMDA+zbt4+mpiasViter5fx8XFOnjzp21xwu186h8PBwMAAV65coaqqCrfbjUqlIiwsDK1W61sn29fXh9vtprCwkICAAFwu14JaaiPmh8jISCIjI8nLy2Pr1q0cPnyYy5cvExAQgMlkIjY2lrCwMMxm85wOWZCgnRUjIyO0tLRw4sQJNBoNb775Jg6Hg+rqat555x3+6Z/+iaCgIJYvX45Op7vnL01fXx/79+8nIiKC5557jujoaK5fv05AQMBdt8ja7XYsFgtlZWXs27eP119/nYKCAl588UViYmIwGAwolUrOnTtHZWUl6enpOBwOPB7Pw35JhJg2g8HApk2bKCsro7a2ln379vFf/st/obCwkMcff5wnnnhizu9YlKCdBaOjowwNDREREUFYWBg5OTnAZ4u3P/74Y86fP8/ly5eJj4/Hbrff9ho3j1LVajVDQ0OkpaVRXFxMYGAgKpXKN997J2q1GovFgslkorW1FZPJRFRUFPn5+bfsyImKiiI6OhqTyURnZydqtVrCVviNUqlEr9djt9sxGo1MTEzgcrlwu91UVVXR29tLTk4OOTk5BAYG+rvc25KgnQVOpxO1Wv2F6YHIyEiys7MZHh6mp6eH69evk5ycfNsR7c1fczqdmM1m4uPjSUpKAmBiYmJaN7k8Hg+Dg4OMjIzgcrmYnJz0nWQ6NQ+r1WopKSkBPhtN6HQ63G73l34dhPiyrFYrzz//PI8++ih79+7lwIED7N+/n6KiIv7sz/4Mu90+J+8nSNDOgpCQEAICAjCbzbd8tNfr9QQHBxMaGkpISAh6vf6u13E4HHz88cfs2LGD0dFRQkJCAOjv7+fgwYO0tbWRnZ3tm0+91w0ChULhq2vql7OqqoqAgADS0tLQ6XSo1WrfFlwh5orQ0FDKy8uxWCxkZmZy5coVfvrTn5KamkpZWRnl5eVzanQrQTsLDAYDBoPhC19XKBRoNBpMJhM2mw2LxXLXYHQ4HHz00Uds3boVhUKBQqFgbGyMAwcOsHPnTjo7O+ns7KS5uZn4+Pg7Xmvq61NnPH366aeMjo7S29vLzp07iY2NxWq1+kayErJiLrLZbNhsNnJzc9m6dSuvvfYa/f39vt7J6enpGI3GOTHClaD1o8nJSV/7wZiYmHuuOvB6vfT19dHX10dERARdXV0cOXKEd999lz179uByuTh48CDf+MY3+NGPfsSGDRtue52poB0bG+ODDz5g3759KJVK3zzvc889N+fv4goxJSwsjM2bN7N8+XJOnz5NdXU1P/nJT7Db7Xzzm98kJyeHgIAAv9YoQesnHo+H4eFhtFotERERRERE3HNHl0Kh8O0Gu3HjBo2NjVgsFm7cuIFWq/Wtd42Ojp7WUc9KpZKgoCCioqLQ6XS+jRBqtfxaiPlDpVIREhLim37zer2MjIwwMDDA3r17aWpqIjU1lZSUlHtOz80UeUf5ycjICD09PZhMJkwm07QaZ0yd2wUwPj5OZ2cnHR0d5OTkYDQa2bVrF48++ii/+c1v7voLNbWCQK/Xs2rVKl5++WVSU1Pp6elhy5YtC6prklhcEhMTiY6OZt26dRw8eJDXX3+dffv2kZOTw7/7d/+OwsJCv9QlQesnXV1d1NTUYLFYSEhIuO0c7ueNjY0xNDREbGws3/72t8nMzCQ4OBi9Xs/o6CirV68mKyvLF7LTuRmm1+sJDw9Hp9MRGxvLY489hkqleqj9EoSYTQEBAdhsNsrLy1GpVFy9epW+vj5+//vfc/DgQR555BEyMjJmde5WgnaWeTweRkdHaW9vp6uri9TU1Duunb3ZyMgIly5doqOjg5iYGP7Tf/pPXxgFV1RU+P59OlsSvV4vDoeD4eFhQkJC0Ol0pKenf+F7hJiPEhMTSUxMpKWlhY8//pi33nqLc+fOERAQgMfjITU11bdJZ6ZJ0M6y4eFhtm3bxuTkJDk5Ob5enPdy8uRJXnvtNWpqasjJycHlct31++8Wskql0veP3PQSC11MTAwVFRWkpqZSU1PDyZMnOXz4MLGxsXz961+nuLh4xmuQoJ1Fk5OTtLa20tfXR0xMDHl5eb5mMgMDAwAEBQXd9mbU0NAQfX19hISEYLVaH3gDgVKpxOv1+jYreL1etFrtnN/CKMSDUqvVREdHEx0dTVRUFH19fdTV1dHe3s6hQ4cYHh4mLi7O13dkRmqYkauK2zp58iQtLS2kpaWRnp7uC1m3282pU6cICAigqKgIg8HwhZFmfHw8a9euJTo6msTExC81vzQ+Ps6NGzcYGBhgcnIStVotTWPEopCQkMB//s//mdbWVqqrq/njH//Iu+++y5NPPskTTzwxY6PbBR20U3fo/b1cqb+/n08//ZRXX32Vuro6bDYbVquVsLAwPB4PCoUCo9FIfn7+HXvTxsbGsmbNGvLy8jCZTA8UtD09PdTW1rJ7924OHDhAS0sLu3btQqlU8tRTT1FcXExoaKg0+xYL1lTfhLS0NLRaLSMjI9TV1dHX18fWrVuprq6mrKzsjj2dH9ScD9qpPqn3c1NmKlidTifw2Y6qKfea25wytfNq6p8vo6uri+rqas6cOUNNTQ1nzpwB/q0ReGRkJC+99BJms/mOC6vDw8O/9LKrzs5Oqqqq2Lp1q6/dXGtrK6+++iqhoaHEx8djNpslaMWCp1AoSEpK4rvf/S7Nzc28++67HDlyhP379zM8PIzRaCQyMvKhrbud80Hb2trKtWvXGB0dxeVyTSv0NBoNGo2GxsZGvF4vdXV1HDlyhPHx8WnNbXo8HvR6PVFRUVit1i99OFx0dDSPPfYYaWlp9Pf3++ZJp+ZKjUYjqamp2Gy2Gf0Ib7PZ2LBhAxkZGQwPD6PT6ZicnESpVJKenk5MTIzfR/9CzDabzcYzzzxDdnY29fX11NbWcvbsWUpKSigvL6eoqOhLP8ecfldNbTltbGykv78fh8MxrSBSq9Wo1Wo6OzsBuHbtGjU1NUxOTk4raF0uFyEhISgUimlvJrgbs9mM2WwmIyPjS13ny5raPZOVlTXtx0y93gqFwrdSQYiFRK1WY7fbsdvtpKWlMTg4yPHjx6mpqUGhUOB2u4mPjyc0NPSBbxrP6aCFW9/g032j3+77pr42nSkIWfr0b6ZulE3tSpNpBbGQxcbG8h//43/k6aef5uDBg5w4cYL33nuPDRs28PzzzxMXF/dA1531oL2fs30UCgXh4eGkp6czNjY27SNVpoLS7XZjs9lYunQpmZmZvkMR71Xf1NRBRETEjC338BePx0Nvby8dHR1cv36diYkJtFotYWFhGAyGW+bDjUYjjY2NXL9+HYC6ujrgs5FxT08PY2Njt/x9uN1uDAYDMTExWK1WXxtHIeYLjUbj++TncDhQqVR8+umnNDc389Zbb5GWlkZGRgZpaWn3NRCb9aC931FibGwssbGxD/RcJSUlTExMoNfr73rEy2Lidrtpa2ujsrKSo0ePMjAwgNFoJDs7m+jo6FtOvdXpdHR2djI0NARAfX09ExMTqNVqampq6O7uvuWj1OTkJFFRUaxatYolS5ZI0Ip5rbS0lIKCAtrb23n11VfZsmULUVFRrF69mqCgIGJiYqZ9LYX3c0M8p9NJa2sr7733HocOHcLr9VJaWsoLL7xAUlLSXW+WXLt2je3bt3Px4kVu3LjBxMQERqORpKQkli5dyqpVq1Cr1bjdbrq6uqiqqmLbtm10dHQQGhrKU089xfLly4mKipKbMjPkfka0Go2GoaEhamtrUalUJCcnYzKZ8Hq99Pb2Mj4+LiNaseC5XC4uXrzI+fPnaWpqoquri/HxcUpLS6moqCA+Pv6e17glzbxeLz09PdTV1VFZWcnBgweZnJyku7vbd9pqamrqHUelY2NjNDQ0sHfvXurr64HPPn6uX7+epKQk3xvY6/UyMTFBY2MjH374If39/b6bRYWFhbK/fgYplUpfW8a8vLxpPSYzMxO1Wu23FnNC+JNarfadSVZVVcWuXbvYvXs3DocDk8nE8PAwNpuNoKCgO97DuGVE29bWxoULF6isrCQzM5O4uDgaGxs5duwYJ06cYNOmTXznO9/BYrHc9oKTk5N0dnbywQcf8Nprr6FUKiksLOSb3/wmBQUFBAYG+kLa6/Vy/vx5tmzZwtjYGImJiaxevZq0tDTf8SlibpjaVCF/J2KxGx8fp7e317d99/jx4ygUCoqKivjOd75zx94lqh//+Mc/nvqPq1evMjw8jEqlYtWqVWRmZpKamkpXVxf79+/HaDRit9t9Z2B9nlqtJjg4GJ1Ox8jICG63m7CwMDZs2EBYWJjv7KmpN61Wq2ViYoL09HTKyspISkpCo9HIG3qOkZAVi91Ubmk0Gsxms+++0cDAAA6Hg4mJCfr7+xkZGUGj0WA0Gm95z9wStM3NzVitVkpKSggLC0OpVKJWqxkcHKSlpQW9Xo/JZCI2NvauHfxVKhU6nY7Tp09z+fJlioqKfPMYNz/51HUtFgt2u52AgAB5Qwsh5pzb5VJ8fDzl5eVkZGQwMjLCq6++Sm1tLSaTifDw8Fsy8pY52ri4OIxGI2az+ZYLms1mwsLCMJvNGAyGe66lDA4OJikpCZ1Ox8DAAD09PQwNDWEymYDP/u8wPj5OX18fTqcTjUYj839CiHknMDCQ1NRUvF4varWalpYWKisrqampwW63U1FRQWxs7K1Be6flCiqVCr1eT2RkJDab7Z4NTTQaDeHh4URFRdHY2EhraystLS1kZmaiUqlwu910dHTQ3d2NUqmUpVdCiHlLp9ORl5dHXl4eR44c4Q9/+APHjh2jtrYWs9mM2+2e3jpal8uFSqUiLCwMm802rfPSg4KCWL58OQ6Hw9fVPCkpybeE6Pr16wwMDBAVFeVrFyjmlvvZXCKEgIKCAiwWC9euXePSpUt88MEHbN269e5B6/V6cTqduFwugoODiYiIICwsbFr7fdVqNVlZWfT29vLee+9x4cIFhoeHMRgMuN1uhoaGcLvdxMTEEBoa+tB+UPHwKBQKPB4PXV1dqFQqLBaL9DoQ4i6MRiMZGRmYTCaam5s5f/48brebu75rpha3OxwO4uLiiI6Ovq8+qBEREcTGxuJ2u+nr6/Ndy+l0olAoMBgMREdHL7htrgvJ6OgoO3fu5MCBA4yOjvq7HCHmPKfTydGjRzl48CAAubm5dx/RTu2IGBoaIjs7+74bKoSFhZGQkIDNZmNsbIyqqirGx8d9O4YMBsM952cnJiZwOBy+vrTT+Sg7tRypq6uL7u5uoqOjfU22p8Pr9aJUKtFoNGi12gW1S23qRmRbWxs1NTWMjIwQEBBASEiIb8H1VBOZwMBA2tra2L17NwaDAaPRSHh4OF6vl4GBAUZGRnC5XL51th6PB61WS0hICMnJySQnJ/v7xxVi1gwMDHD27FlOnjxJb28v0dHR5Obmfrbh504P8ng89PT00NTUhF6vJz093bdq4H5ERUWRnZ3N+fPnOXz4MIODg+Tk5KBWq33bOe9VfHd3NxMTE7jd7mkFrVKpRKVScfbsWc6fP09paSmZmZm+ULgXj8eDTqcjLCyMsLCwuy5lm2+mduVduXKF7du309XVhclkIiEhAavVik6n+0LQnjlzBr1eT3x8PFarFZfLRXNzM93d3YyPj/uCdmoLbkJCgm/LrhCLwcDAALW1tWzfvp09e/ZQVlbG008/zbp169Dr9V/cgjsVZKdPn6ampgaz2Yzdbn/g5VeBgYHk5+fT3d3N4cOHGR0dRalUUlxcTExMzF2Xinm9Xi5fvkxlZSUdHR2Mj49Pq03fVPeu+vp6Ll++TEtLC0lJSbc0TLkbh8OB1WplyZIl5ObmLqigvfnYnODgYCYmJtBoNBgMBgIDA29pD2kymairq+P999/HbDazbNky4uPjUSqVjIyMfKGR+tQSF4PBgNVq9dePKMSs2rVrF0ePHqW1tRWLxcJ//a//lbS0NBITE325eUvQTr3BpjYSDAwMUFhYSEZGBmq1GpfLxcjICIGBgWi12mmfdpCRkUF9fT1jY2O+NbVms3laN1em+tHez7EyUyPa/v5+WlpaiIuLQ6VS4fF47jmivXnn2kLcETW1I2/qVNB7cbvdmEwmQkJCSEtLIyEhYRaqFGJuGxkZoa+vj6amJk6cOEFjYyMqlYrc3Fyef/75W6ZEvV7vF6cOrl+/TmVlJUqlkvLycrKzs30Pamlpob6+nqysLGJjY6c1ulSr1dhsNpKSkoiJiSEsLMx3PMx0Qra4uJjs7GxfL9npBJ9Wq0Wr1fLf//t/58yZMzz99NP8+Z//uW9b8L1MNbkODAy84xlei4XT6fT9D2rq32XlgVjMnE4n586dY8uWLRw7dozCwkK+8pWvUFJSQkxMzBdWZSkUiluD9vLlyxw7dox3330XnU5HXFwcR48eJTAwEKfTidvtJjg4mIyMjPvqtK9UKomOjiYrK4vQ0FDi4uKmvdJAr9c/8LTFVH+FiIgIdDrdlzqie7G6earlfg/JFGIhcTqdnD17lgsXLtDU1MTY2BgFBQWUl5dTWlpKUlLSHR97S9CeOHGCw4cPs2fPntt+xH700Uf5xje+8UDLscLDwyktLcVsNpOYmDgrI8Wp028nJydn/LmEEAuXx+OhubmZN998k+rqasLCwnjyySd59tlnCQkJueenvFuCtqSkBJvNRklJCU6nE6VSicfj8X3cttvtZGZmfqEXwnRYLBaWLVuGVqvFaDQu+o/kQoi5z+12U1NTw8GDB/n0008xm80888wzpKSkkJ2dPe1drbcEbWZmJpmZmaxdu/ahF6zX6x/4YDMhhJhNLpeL0dFRGhsbqays5NixY/T09PCnf/qnPPbYY9hstvu63sJZiS+EEA/o8zfa29vbeeWVV6itrUWv17N69WqWL19ObGzsAx3RJEErhFj0FAoFDoeD5uZmGhoauHTpEteuXSM4OJj09HRWrFhBfn7+A19fglYIIfjsKK8dO3awfft2hoaG+MY3vsHatWtJSUn50iuWJGiFEItaa2sre/fupbGxkYmJCcrKyoiPj6esrAy73f5QloVK0AohFh2v18vY2Bi9vb1UVVXx/vvv43Q6WbFiBc888ww5OTkP9fkkaIUQi05nZyf79u3jwIEDDA0NsXr1anJzc0lNTb3jSTNfhgStEGJR8Hg8vv4ntbW11NbWMjY2RkxMDKtXryY/P3/GjtWSoBVCLAoDAwMcOHCAX/ziFwAsW7aM73//+xQWFqLT6aZ1csyDkqAVQixoXV1dnDt3jnPnztHW1kZmZiYJCQkUFxeTn58/K21QJWiFEAuSx+NhfHyc06dPs3v3bs6ePUtCQgI/+MEPyMnJmdXTtyVohRALztjYGMePH2fLli2+edjvfe97ZGVlkZqaOqshCxK0QogFZGRkhI6ODq5cucLJkydpaGggISGB/Px8Hn/8cb+dliJBK4RYMA4fPsxHH31EbW0tcXFx/OAHPyAzM5Pw8HCMRqPf6pKgFULMayMjI9TX13PmzBmamprwer0UFBSQn5/P0qVLb2llON1TWh42CVohxLw1Pj7OpUuX2Lp1K++//z75+fm+02dv1yvWX2cAStAKIealo0ePcvz4ca5cuYJWq+Xll18mMzOT9PT0aTfkni0StEKIeWNycpLh4WHa29s5cuQIZ86cwel0smbNGl566SW/zsPejQStEGLeqK2tZfv27Rw6dAi73U5FRQVFRUUkJCQ80FmGs0WCVggxp7ndbhoaGrh48SINDQ1cv34dq9VKQUEBy5cvJzMz098l3pMErRBiTuvs7OT111/n2LFjBAUFsXbtWjZt2kRERMSsbzx4UBK0Qog5qb6+nuPHj3P+/Hk8Hg+rV6/GbrdTUFBAbGysv8u7LxK0Qog5w+v14nQ6aW5u5sSJE+zevZurV6/yJ3/yJ2zcuBG73e7vEh+IBK0Qwm8+v4FgcHCQ3//+95w5cwalUklBQQHf+973sNvtWK1WP1b65UjQCiH8RqFQ4Ha76ejooL29ncuXL1NXV4fT6cRut7NixQrKy8v9XeaXJkErhPCr7u5uduzYwQcffEB7eztf//rXWbduHWlpaZjNZn+X91BI0Aoh/KK7u5sjR45QX19PX18fKSkpLF++nEceeYTs7Ow5u/ngQUjQCiFmldPp5MaNG1RXV/Paa69x48YNysrKeO6551i6dKm/y5sRCzpovV4vXq/X32UIIf7VwMAAhw4d4tChQ3R0dJCXl0dmZiaZmZkkJSX5u7wZs6CDVqVSodFo8Hg8/i5FiEXL6/UyMjJCT08PNTU1nDp1iubmZoKCgli9ejVLly5Fr9f7u8wZtaCDNjAwkODgYJxOJ263G5VK5e+ShFh0hoeHOXbsGP/yL//C8PAwubm5fOc736G4uBiz2YxOp/N3iTNuQQetWq1Gp9PhdruZmJhAr9f7rR+lEIvNwMAAFy9epKamhsbGRoKCgkhNTaW0tJQlS5YQERHh7xJnzYIOWqVSiUqlwuv14na7/dZdXYjFxuPxUFNTw7Zt26iqqiIsLIz/8B/+AyUlJYSGhvq7vFm3oIMW/q2jutwUE2LmORwOqqur2bZtG729vZjNZp5//nkyMzPJyclZlCELiyBopwJWRrJCzByHw0FfXx9NTU0cO3aM48ePY7VaKSsrY8OGDYSHh/u7RL9a8EErhJh5p0+fZvfu3Zw+fRqTycT/3969BkV554ke//aVBgSaBkEaudjY2FwEEQQUrzETFc3oxnWczM2pmU2yM1uzM2+2trZ2Z1+cV/PiVJ2qmaqtqVOb2Up2Ntkk7kTNbDJmEBQFUUEh3G8Kyh2501z66ct5kaWPxkQhig3dv88rK0U3/wb6m6efnhJ3IwAAIABJREFU5///P2+88QaZmZmYzWYiIyN9PTyfk9AKIb6W2dlZurq6qK+vp7W1leHhYeLi4sjMzGTPnj2YzWbv1wb69REJrRBiyVwuF7dv3+bcuXO8++67JCcnU1xczMGDB0lOTn7kmkggRxYktEKIJaqtraWqqoq2tjYcDgfHjx/HZrORlZVFUlISIGH9IgmtEOKJFuaiDw0NUV5eTnl5OVNTUxQVFfHTn/6U6OhoXw9xRZPQCiGeqKuri08++YRPPvmEmJgYdu3aRVZWFlarNWCnbC2FhFYI8aU8Hg89PT10dnbS2tpKU1MTAFarlZ07d5Kbm+vjEa4eElohxJcaHx/nnXfe4c9//jMqlYqioiJ+9rOfER8f7/ebwDxrElohxEO6urq4efMmtbW1jI2NkZ2dTUJCAtu2bcNms8mFrq9BQiuE8M5z7e3t5dq1a3z00UfU1dXxl3/5lxw/fpy0tDTZ/e4pSGiFCEBfXEAwNzfHe++9x7Vr15ifn8disXDs2DEyMzNJSkqSyD4lCa0QAUilUuF2uxkdHWVoaIiOjg6uX79OX18fGzZsYMeOHRw8eNDXw/QbElohAtTExAQff/wxZ8+epaOjg+LiYl555RXS0tICfhOYZ01CK0SAWbgxYlNTE3fv3sVoNLJnzx727NlDXl4eRqPR10P0OxJaIQLI9PQ0jY2N/Pa3v6W3t5dt27bxne98h3379qFWq309PL8loRUiANjtdioqKqioqKCrq4ukpCT279/P5s2bsdlsEtllJqEVwk95PB7m5+ex2+3U19dTWVlJTU0NKpWK48ePs2fPHiIiInw9zIAgoRXCT83NzVFTU8O///u/09/fT3JyMt/5znfIy8tj3bp1hIWF+XqIAUNCK4SfsdvtdHZ20tjYSEtLC1NTU6xfv568vDx27txJYmKir4cYcCS0QviZpqYmzpw5Q2VlJXq9nlOnTlFUVITZbEan0/l6eAFJQiueSK1Weye4y92EVyan00lLSwvnz5/n3r17qNVqXnrpJaxWK3l5eSQkJMgFLx+S0IrH8ng8OJ1O3G43Wq1W3qwrjNvtZmpqirt373LlyhXOnTtHeHg4Bw8e5Jvf/CYJCQm+HqJAQiuewO12MzExQVhYGBERERLaFaa5uZmSkhIqKysBePXVV9m8eTPJycnExsb6eHRigYRWPJbb7WZmZgaXyyV7kK4QDoeD/v5+2traaGxspKOjA41Gw8aNG/nGN75BSkqK92sD/e6zK4WEVjyRy+XC7XbLDk4rRE9PDx9//DFvvfUWRqOR/fv38/rrr5Oenv7IJw6J7MogoRWP5fF4vBfA5E3rW+3t7dTU1NDS0sLIyAi7du0iJSWF3NxcbDYbWq28nVcq+c2IJ5LA+s7Cxcjx8XHKy8s5f/489+/fJzc3l5/97GcyJ3aVkNAKsYINDw9TWlrKuXPnCAoKIicnh7S0NGw2G2az2dfDE4skoRViBRoZGeHevXu0tbVx48YN+vr6yM/PZ9euXRQWFsppglVGfltCrDAzMzO89957fPzxx9jtdnJycvjVr36FxWIhPDxcIrsK+fVvTKVSea/Cut1uH49GiMcbGBigsbGRzz77jK6uLsxmM2vXrqWwsJDc3FxZPruK+XVotVoter0el8uFw+GQ5aNiUXwxy2J8fJwbN25w9uxZKisrOXLkCN/73vfIzMwkODj4uY1DLA+/Dq3BYCAiIgJFUZiYmMBoNMpcUPFYDQ0N3Lt3j40bNxIXF0doaOgzDe4XFxAoisIf//hHqqqqmJiYwGQy8Ytf/IKcnBxsNptE1k/4dWh1Oh0hISG4XC5mZmbk9IF4oqmpKbq7uxkbG8NqtbJ169Zn+j9nlUqFx+NhenqaiYkJurq6KC8vp7m5mfXr15Ofn88rr7wiS539jF+HFnzzMVCsXjk5OQQHB/PrX/+a2tpacnJynvn3mJ2d5dNPP+X8+fM0NzeTn5/PG2+8QXp6OmazWSLrh/w6tA9GVkIrFsNgMJCYmEhYWBjT09O0trayceNGgoKCnvq57XY7ra2tNDU10dzczNzcHBaLhcLCQoqKioiJiXkGr0CsRH4dWiG+juDgYA4cOEBnZycXL15kdnaWvLy8p3rO+fl52tvb+c1vfkNraytbtmzh6NGj7N27l4iICJmy5efktysCxmJ3sgoKCqKwsBCXy8WZM2eIjo7+2qF1OBzcuHGD69ev09bWxpo1azh69ChbtmwhMzOTqKior/W8YnWR0Aq/pigKTqcTvV6/6ItaarUak8lEYmIiiqIwNDTE2NgYRqNxUaFe2J/A5XLR1NREeXk5V65cYWZmhh//+MccOHCAtWvXPu1LE6uIhFb4tdbWVtrb29mxY4d3I+zFHtmazWZeeeUV7t27x/vvv09xcfGi7ljgdDppaGjgP//zP7lz5w5r167l5ZdfZuvWrWzYsEGOYgOQXN4Ufm1iYoI7d+7Q3t7OxMTEkjbCNplM7NixA71eT01NDffu3Xvs18/Pz9PZ2UlJSQklJSV0dXWh1+tJS0tj37595Ofns3btWplVEIDkiFb4tbCwMMLDw6mtrWV0dJT9+/cTGhq6qMdqNBpiYmKIiIhgfn6e3t5e+vv7iYmJ+dLTEJ2dnfzhD3+goqICRVH41re+5b2992K/p/BPElrh1xITE5mfn+fMmTMMDAywbdu2JUcvMzOTqakpWltbmZ+f58SJE97Qut1u7ty5w6VLl+js7PRuArNhwwZ27tyJ1WqVGQVCTh0I/2Y0GsnJyUGv1zMwMEBvby9zc3NLeo7MzEwOHjzI/fv3uXr1KmNjY8Dnpwq6u7u5evUqb7/9NlVVVcTHx3Pq1Clee+010tLSJLICkCNaEQC0Wi179+6lsbHRe/V/9+7dS3qO6Oho0tPT6evro6GhgaamJrq7u7l27RoTExMcPnyYjIwMrFar3PVAPEJCK/yex+Px7llw+vRpQkNDKSgoWNJqr4WLWnNzc3z66ac4HA5UKhWjo6PExsZy8OBBNm/evIyvQqxmElrh91QqFWFhYcTFxWEwGJicnOTu3busX79+0btjqVQq4uPjuXnzJu+88w4mk4kTJ05w4sQJMjIy5Fbs4rHkHK0IGNHR0RQUFKDRaDh//vwTp2s9yO12c//+fRRFITs7m+TkZNxuN2azmYiICNmUWzyWhFYEjPDwcL7xjW8QGRlJaWkpnZ2di36s2+2mp6cHg8HAz3/+cw4fPozdbuf+/fvLOGLhLyS0ImCoVCrWrFlDQkIC69evZ2BggPb2dhwOxxMfq9VqycnJ4aWXXmL79u1ERUUxPDzM8PCw7HMsnkhCKwKOxWJhx44d3L9/n0uXLjE5OfnEx6jVajZs2EBqaiphYWHExsYSHR3tnYUwPz//HEYuVisJrQg4ycnJvPTSSwwPD/OnP/3JOy92KbKysjh58iR37tzhP/7jPxYVaxG4JLQioCxsBm8ymUhPTycuLo6Ghga6u7uX9DwRERGkp6ezZs0axsfH6evrw+VyLceQhR+Q6V0ioDy4ocz+/fuJjo6mrKyMoaEhXnvttSVt+GIwGMjKyiIoKIjW1lY0Gg0ZGRlyNw/xCAmtCEhDQ0NcuHCBsrIyOjo60Gg0DAwMYDabF/0carXae0+xjz76iOHhYTIyMpZryGIVk9CKgOF2u5mbm2NwcJDm5mYuX75MfX09ERERuN1umpub0el0S9qUOy4ujsnJSYaHh2lvb6e/v5+4uDg5qhUPkdCKgHH//n0++OADrl27xsjICAUFBRw7doywsDC6u7s5f/48er1+yXc/iImJ4cSJE9y7d48zZ86we/duMjMzl+lViNVIQiv8mtvtZmRkhDt37tDY2EhzczPz8/OYzWYKCwvZt28fOp2Oy5cvU1lZSV9fH7Ozs4temguf73m7c+dOWlpauH37tsyrFY+Q0Aq/NjIyQmVlJb/73e8YGBjgyJEjnDx5ki1bthAaGuq9+BUdHY3NZmNqaoqamhqysrIIDw9f1PfQarXExcVhNBrJzs6WTb7FIyS0wi8NDg5y6dIl2traGBkZITExke3bt7Nz5042b95MWFjYQ19vNpvZsWMHFy5coLW1lXXr1i06tPD5hbHQ0FCJrPhSElrhVxwOBzMzM1RXV/Pee+8xODhIcnIyP/rRj9i7d+9XTt+KiIhg69atlJSUUFdXR09PDxs3bnzOoxf+SkIr/MbQ0BAVFRX86U9/Ynx8nC1btrBx40asVitWq/WJc2R1Oh1FRUXo9Xra29vR6XRs375dbqYonpqEVqx6k5OT9Pb20tDQwK1bt+ju7iYuLo7du3eTl5e3pI/zW7ZsISQkhI8++ojJyUnS09OJjIxcxtGLQCChFava3NwcZWVl/Ou//ivz8/OkpaXxi1/8guzsbIxG45JmD8Dn9xhLSkpidHSU4eFhenp6CA4OxmAwLNMrEIFAQitWpYGBAVpaWmhsbOT27dvExMRgNpvJyckhPz8fk8n0tZ/baDSSn5+P3W5HpVKhKIqEVjwVCa1YdWZnZ6murub8+fNUVlaSmprKT37yE7KysjAajU/9/DqdjpdffnlRd8v1eDzejWrg870UZFWY+CK/Dq3H4/FOHler1fIGWOWmp6e5fPkyn3zyCXNzc0RGRvJXf/VXpKens3nz5mcSWfj8byUyMhKXy4WiKF96y3CPx8P9+/c5ffo05eXlTExMYLPZOHjwIDk5OUteXSb8m1+HVqPRoNPpcLvdKIry0JGHWD1mZmYYHByks7OTy5cvc/PmTVJTU8nOzubw4cNEREQ88++pUqnQarVfGlmAqakpbt++TUNDAzdu3PCOz263YzAYvnZo3W43TqcTjUaDRqMBwOVy4XK5HvpvYnXx69AGBwdjNBpRFIXx8XHZL3QVcrlcnD9/nj//+c+0tLRgtVr5h3/4B6xWK7GxsUtaVPAs3blzh1u3bvHyyy/z4x//mPHxcU6fPs27775LbGwsmzdvJiIiYslTw6anp+nr6yMmJgaTyYTL5WJycpLR0VEiIyO/cO7ZA8intNXAr0Or0+kwGAy4XC5mZ2dlDfoqMjU1RVtbG/X19bS2tqIoCqmpqezYsYOdO3cuy1HsUoSEhJCQkMCWLVtYt24dAO3t7fzbv/0bdrt9yZ+g3G43MzMzXL16lcrKSoqLiykoKEBRFG7fvs2tW7fIycn5QmhVeCa7mOhp5lrbKPdGFUIMejweD4qiPPT37vF40Gq12Gw2UlNTCQ8Pl6Pj58ivQ7vw8c/j8eByueTUwSoxOztLc3Mz77zzDufPn2fHjh0cPnyYvXv3YjKZVsTvcePGjVgsloeOWOPi4sjJySExMZHg4OAlHc3Ozc3R1NTEhx9+yJkzZ9iwYQMFBQU4HA5aWlo4e/YswcHB5ObmPvzAwZv0l/6G//1/aympH0et0aJWfR7uB39OC/9+4403eP3117HZbISEhDzdD0Esmt+HdsFKeHOKx5ufn6e0tJSbN2/S19eHVqvlhz/8IdnZ2WRmZnqP5lbCRU2VSuU9InS73XR3dzM2NkZ2djYpKSmsWbNmSeOcnJzk4sWL9PT0YLPZiI6OBiAoKAi1Ws3MzMyX3q1XFZ1B9LZTHJ/fjf5iHVcryomLi2PPnj1ERUV5H9/V1UVraytGo5GpqSmcTuez+UGIRfHr0H5x2o1Ymebn55menqazs5OSkhJqa2sxGAwcPXqU73//+0tedPA82e12Ojo6uHDhAkNDQyQnJ7N+/fol/73NzMxQV1eHSqXi8OHDpKamAp8vK56cnCQoKAi9Xv/oAyM3sbZgEz/Imicx7QKT4yNkZWXxd3/3dyQnJ3u/bGhoiIsXL6LRaAgODpb3w3Pm16EVK5+iKFy/fp2PPvqI2tpaMjMz+eEPf4jNZiM5OXlFR9btdnP27Fnef/99rly5QnJyMt/97ncf2Rnsq3g8Hm/wgoKC0Gg0JCUlsXv3biwWC+Pj4/z+97+noqICp9P55aH9H06ngtPp9E5pXDhHu3D6IiYmhhdffBG3241er5fTBs+ZhFb4hN1up6uri7a2NlpaWujv78doNJKbm8vevXuJj4/39RAXRa/XYzQaSUxMxO12U11djcViIS4u7olHjiqVCo/Hw+zsLE1NTfT392MymdiwYQNarRaXy8WVK1eorq4mOzv7K1enud1uFMf8Qxfg1Gq1N7KDg4NoNBrv6Qjx/EloxXPndDppbW3l17/+NS0tLSQnJ3Po0CEOHDiA0Wh87JHbSqJWqzl27BgvvPAC9+7d48033+Rf/uVf0Gg0xMXFkZGR8cQNbdxuNxUVFfzhD3+gpqYGk8nkPRfrdrvp6+tjaGgIj8ez6ItrD65OczqdlJWVodPp2LVrFyaT6SvnBovlIz9x8dzY7Xbq6+u5efMmHR0dhISE8OKLL2Kz2SgsLPROk1oNFj72a7VaTCYTJpOJoqIiqqur0el09Pb2snHjxieG1uPxMDo6Sl9fH2NjY5SVlfHLX/6S+Ph4BgYGqK+vB6C6upqzZ89iMBjIy8t7aHrbQlg9Hg8Oh4OKigpmZ2eJjIz0Tg/btm0bhYWFsuWjj0hoxbJbWMra1NREaWkpZWVlKIrCX//1X/PCCy8QExPj6yEu2ZedEsjKyuL48ePY7XYmJiZQFGVRz+V0OlGr1URHRzM8PMzvf/97b8iDgoK888Dr6uowm82kpKQ8Mo94YTyKotDQ0EBjYyMulwu9Xk94eDgWiwWVSiWh9REJrVhWiqJQV1fHu+++S29vLzExMRw9epTMzMyHpjH5g6CgICIiIpifn8fhcCxqSqFarcbhcBAbG8trr71GXFyc93blHo+HoKAg4PPTCGFhYcTExHzp8t4Hw7xv3z6Ki4tZv369dxFEYmKidz65LFR4/iS0YlnMzc151//X1tbS1tZGUFAQKSkpHDhwAKvV6ushPnN2u52hoSF0Oh2xsbGLOtc8NzfHxMQEWq2W/Pz8RZ9CeXDGwoM7iGm1WtLS0jh58qT3gqLZbEalUmEwGGQ+uY9IaMWyqK+v59y5c1RVVREUFMT3vvc9cnNzWbt27aKnP602/f391NTU8OKLL1JQUPDEfRhcLhfDw8MMDg4yPDzM5OQk09PTi/pej5vN4HA4mJqaQlEU70WwhaNjOXXgGxJa8czMzc3R2dnJtWvXuH37NpOTk2RkZJCSksL27dtJSkry9RCfCUVRuHHjBuXl5SiKQkhICBEREUxOTpKWlkZGRgaxsbFPXBQwPT3N4OAgc3Nz6HQ6QkNDv9aMi4WLYQ/ONljYBUyn063ouciBQkIrnomFq9slJSW89dZbREVFcfToUYqLi7FYLL4e3jOlKAqlpaX88pe/BMBgMGCxWDh06BCvvvoqqampi1p5NTc3h91ux2g0Ehoayrp161izZs2Sx+Ph/++9/OAeB7L6a+WQ0IqnVl1dTVlZGR0dHahUKr773e+SmppKamoqCQkJvh7eM6fX6zl48KB3+lRwcLD3yr7Val10LMPDw9m0aZN3o5z4+PglhvbzbRLVKhUqjQ6nojA1NYXb7SYiIkJuv7OCSGjFYy1c/X7QwnzN8fFxent7uXz5MtevX2d2dpatW7fy6quvYjabfTTi5afVasnLyyMvL++pnic4OJjg4OCn+FmpwDXD7NgADZ91UHPzFoODg3R1dVFTU4PL5SIuLg6tVitHtz4moRVL5nK5aGpqoqSkhD/+8Y+YzWb2799PTk4OFovlqW6MKJbo7iXulb3J//ndTc5U3AVcXLhwgbq6On7605/y7W9/G4vF4p0mJnxDQisey+l04nA4HtpWb3x8nFu3bnHnzh0SEhLYunUrRUVFZGZmypHTc+bRhWGI2kDaZpgMScMUEcrMjB2Px4PZbCYoKEh+JyuAhFY8lsvlwmAwPLRBytjYGLdv3yY2Npa///u/Jz4+Ho1GI29oH1DF7yAhroD/VezB/YUpshqNRm5KukJIaMVjxcTE8POf/5zo6GjviqKoqCgOHDiAwWAgMTFR3si+pFKj0qjRymKvFU1CK77UwlLNtWvX8qMf/ch7dARgMpnYtWuXj0coxOohoRWPcLvdjI+PExoaisFg8G5gIkeuQnw9Elrh5XQ66e3tpb29nf7+fnJzc0lPT5fACvGUJLTCq7e3l9OnT3Pp0iVGRkb4m7/5G2w2m6yPF+IpSWgDnMfjoauri/Lycpqampibm8Nms2E2m0lPT/f18ITwCxLaAOXxeHA6ndy9e5fq6mref/99BgcHOXLkCMXFxeTn5/t6iEL4DQltgLpz5w4ffPABzc3NKIrCrl27yMrKwmKxsH79el8PTwi/IqENIE6nk5GREXp6eqitraWhoYHJyUkSExPZv38/27Zt8/UQhfBLEtoA0tfXR1lZGe+++y4Oh4Njx46Rn5+P1Wp95B5UQohnR0IbALq7u713nh0YGCApKYmkpCSKiorIyMiQ7fSEWGYSWj+mKAojIyNcvnyZt99+G4fDQVZWFq+//jq5ubm+Hp4QAUNC66e6u7u5cuUKFRUVzMzMUFRUREpKCps2bcJms/l6eEIEFAmtH3G5XMzMzDA8PExVVRXXrl2jtbWV1NRUDh06RHZ2tuxLKoQP+H1oA+n2yqOjo5w9e5Z33nmHNWvWsGXLFv7pn/6JTZs2YTQaJbJC+Ihfh1alUqFWq703rvNX/f39dHR00NDQQFNTEyaTiU2bNrF9+3a2b98uF7uE8DG/Dq1Go0Gv1+N2u1EUxS+PbicmJigvL6ekpIS6ujq2bdvGP//zP2OxWL7WHVWFEM+eX4fWYDAQHh6OoihMTk7icrl8PaRnZnBwkMuXL3PlyhUcDgdRUVGcOnWK7OxsrFYrwcHBvh6iEOJ/+HVo9Xo9ISEhTE5OYrfbV/3pA4/Hg6IoDAwMUF9fT2lpKZWVleTl5VFQUMCRI0fQ6XS+HqYQ4gv8OrT+xm63c+7cOSoqKujr62PTpk386le/IikpidjYWImsECuUX4fW4/F4z8uu5s2rh4eH6e7upqWlhdraWqampoiLi6OwsJADBw489No8Hs+qfq1C+CO/Dq0/mJiY4OrVq5w+fZra2lr27dvHt771LQoLC4mKinokqhJZIVYeCe0KNTIyQlVVFU1NTQwMDBAZGcmJEyfIy8sjOzub6OhoXw9RCLFIEtoVRlEUxsbGaGho4L/+67/o6uoiISGBv/iLv+Cb3/ym3FZGiFVIQruCTE5OUlpaysWLF7l79y5Wq5U9e/aQlpZGSkqKRFaIVUpC62Mej4epqSmGhoZobGzkxo0b9PT0YDAYKCgoYOfOncTExPh6mEKIpyCh9bHp6WmuXbvGb3/7W0ZGRsjOzuYHP/gBBQUFhIWFyfJZIfyAhNZHJiYmaGho4LPPPqOzs5Pw8HCsViv5+fls27aN2NhYXw9RCPGMSGh9wO12U19fz7lz57h+/Tpr1qzhJz/5Cdu3b8dkMvl6eEKIZ0xC+xxNTU1x/fp1PvzwQ8bHx1m3bh0nT54kLS2NjIwMiawQfkpC+xzMz88zNDREa2srlZWV3Lhxg3Xr1rFv3z6OHDkipwmE8HMS2uegqqqKM2fO0NHRwdq1a/nHf/xHbDYbUVFRGI1GXw9PCLHMJLTLZHx8nNu3b9PU1ERbWxt2u53k5GSys7PZvXv3Q4GV/QmE8G8S2mXgdDppaGjg3LlzfPjhh6SlpXHy5En27NnD+vXrH/l6iawQ/k1C+xS+eCTqcrmoqKigsrKSgYEBPB4Pp06dIiMjg+zsbOLj4304WiGEr0hon8JCZB0OBxMTE/T09Hg3446MjGT37t18//vfJzw83McjFUL4koT2GaioqODTTz/l+vXrWCwWXn31VTIyMkhOTpbICiEktF+X3W6nr6+P9vZ2amtrGRgYwGg0smXLFvbu3cuGDRt8PUQhxAohof0a5ubm6Ojo4K233uL69eukpKSwZ88eDh06RHR0tOyyJYR4iIR2CZxOJ7du3eLWrVs0NzczMzPDrl27yM7OZuvWrcTFxfl6iEKIFUhCuwhOpxO3201HRwcXLlygqqqK0dFRjh8/ztGjR0lMTJSjWCHEV5LQPoGiKDQ2NnL27FlaWlqIjo7mhRdeIDs7G4vFQmxsrERWCPFYEtqvoCgKAwMDdHR0UF9fT2NjI/Pz81gsFl544QUyMzN9PUQhxCohof0KXV1dvP3229TV1eHxeDh06BC7du3CbDbL/gRCiCWR0D5gdnaWzs5O6urq6OjoYHx8HKvVSnJyMrt37yYjI0OWywohlkxC+4COjg5KS0v54IMP8Hg8nDx5khdffJH09HRfD00IsYpJaIG2tjY+/PBDuru78Xg8FBcXs2nTJjIzM0lKSvL18IQQq1xAhfbBj/0Oh4OxsTGGh4e5evUqVVVVqNVqNm/ezLFjx+QoVgjxzARsaFtbW/n444/57//+b0JCQjh69Cg5OTlYLBYiIyN9OEohhL8JiNBqNBrUajWKojA4OEh1dTXNzc309PRgNpux2WwUFRWRnp6OVhsQPxIhxHMUEFVRqVQ4HA76+/u5efMmb775JiaTiaKiIv72b/8Wq9UqdzkQQiwbvw/twsKD7u5ubt26RUhICHv37sVms5GVlYXFYgHkLgdCiOXj16HVaDSoVCrGx8cZHBzE5XKxd+9evv3tb2Oz2dDpdL4eohAiAPh1aLVaLWvWrMFgMJCens7JkyfJysrCZDJJZIUQz41fh9ZkMpGVlUV4eDhRUVG89NJLaDQaXw9LCBFgVB6Px+PrQSwXt9uN0+nE5XKhVqvR6/VyLlYI8dz5dWi/jMwuEEI8bwG3kapEVgjxvAVcaIUQ4nmT0AohxDKT0AohxDKT0AohxDKT0AohxDKT0AohxDKT0AohxDKT0AohxDKT0AohxDKT0AohxDKT0AohxDKT0AohxDKT0AohxDKT0AohxDKT0AohxDKT0AohxDKT0AohxDL7f7mkEBdwrJgnAAAAAElFTkSuQmCC)
The total energy stored in the condenser system shown in the figure will be
![](data:image/png;base64,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)
physics-General
physics-
In the given network, the value of
, so that an equivalent capacitance between
and
is
![](data:image/png;base64,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)
In the given network, the value of
, so that an equivalent capacitance between
and
is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWsAAAFECAYAAADhvB+bAAAgAElEQVR4nOzdyXMbR5o28Kf2BYUq7CTBVSIp0ZLtttvudkxPzNc+dEzMZf7eOcwSc5iDx3a3u93tRU2RoriTAIi1gNrrO2gyDXCRREoiAOr9RTBskSBZBFBPZWW+mSmkaZqCEELIRBPHfQCEEEJejcKaEEKmAIU1IYRMAQprQgiZAhTWhBAyBSisCSFkClBYE0LIFKCwJoSQKUBhTQghU4DCmhBCpgCFNSGETAEKa0IImQIU1oQQMgUorAkhZApQWBNCyBSgsCaEkClAYU0IIVOAwpoQQqaAPO4DIHdfmqYIggC+7yMIAgiCAE3ToGkaFEW59s8SBOHC55Mkge/76PV6iOMYoijyxwqCAEVRoOs6FEWBJElv608j5NZQWJN3Kk1TRFGETqeDRqOBVquFOI6RzWYxMzODcrkMUbz6Bo9tEZqm6cj/C4IAURR5cMdxjGaziSdPnsDzPKiqClEUIUkSZFlGNptFsViE4zgwDOOlv5OQSURhTd6pKIrQ7/dxdnaGo6MjnJycoFarodPp4IsvvsCXX375yrBOkgRxHPN/h2EIURSh6zokSeIXhNPTU3z77bdot9twHAf5fB6WZUGSJFiWhSAI+PcRMm2oeUHeqTRNEccxbxUDwNnZGf70pz/h2bNniKLopd8bBAHa7TZOTk7QbrfR7/d54IdhOPJY3/dRr9dxenqKVqvFQ/2q4yBkmlDLmrxTiqIgm81C13WUSiUsLS1BFEXs7OzwfmbWZXFekiTo9XrY2dnBzs4OlpaWUCqV8MMPP0BVVWSzWWiaBkEQIMsycrkc1tfXMRgMUKlUsLi4iEKhgDiOYZom8vk8dYGQqUVhfYkwDNHv91Gr1eC6LkRRhGEYyGazyGQy0DQNsixfOtBFRrHBPUVRYBgGNE3D7OwsqtUqcrncS4MzSRLehXJycgJN05AkCY6OjmBZ1kjLmnVvFAoF1Go1NJtNHvb5fB65XA65XO42/mRC3gkK6//DBrCiKEKr1cLu7i6+/vpr7O3tQdM0VCoV3L9/H/fv38fs7CwymQxVFVxTkiQIwxCGYWB1dRXz8/MvbekmSYJOp4N+v480TdFqtRAEAXq9HkzTHHksq/oQRREnJyfY3t5GHMcol8v46KOPoKoq5ubmqFVNphaF9f9J0xTdbhfHx8d49uwZ9vb2IEkSVldXoaoqgiDA/v4+KpUKZJmetpuI4xiu60JRFGxsbGB2dpbfnVxWkud5Hv7yl79gc3MTYRii2WxCURTUajUYhoEkSfhj2cU2TVOYpom5uTlomoZCoQDLskYqRwiZRpQ6+KXi4OzsDH/729+wu7uLKIrw8ccfY3l5GZIk4fnz5zzAFUWhFto1hWEI13XR7/ehKAoWFxeRyWQQhiHSNL30LsXzPPz444949uwZKpUKoiiCKIqIoujKWusoimBZFvL5PObm5lAsFiEIArLZ7G38mYS8MxTW+KUW+Pj4GF9//TXm5ubw5ZdfYnFxEbZt89ZatVpFqVSioH5Nw63lZrOJs7MzSJIEx3FgmibiOEa73UY2m4VhGBe+L0kSXjO9tLSEbDYLWZYRhiHm5+chSRKSJOFBz15HURRhWRaq1SoWFxchyzJ0XaeWNZlqFNZ40SJjfaGtVov3TRcKBX6Cs1tqWZbplvoaWMXH0dERdnd3+UxCXdeRzWbhOM6FcjoW1v1+H5IkoVAoYHV1FaVSiQ8ysoBnrwP7Pc1mE51OB5IkIYoiKIoC27bH8acT8lZRWOOXEx0An0gBjLYMZVnmLTgK6tfH6qQPDg7w448/otvtIo5j6LqOX//61/jiiy8ujAGwKg7W6s5ms1hfX8fc3BwMw+CvC+uOYt1YrAa70WjA931UKhWUSiXoug5VVcf0DBDydlBYD2EtbHZrPdzdwWbRiaJILetrEEURqqqiWq3yEI7jGIqiYH5+HqZpXiiDZFUduVwOv/nNb2CaJiqVCmzbvrICRxRFFAoFfPrpp3BdF5Zl8Z9P3VbkLqCwxotwkCQJgiAgDEN4nofBYABN0yBJEuI4RhzHSJIEqqpCVVUK69fAJqtks1k8fPgQ9+/fRxRFSNMUoijyxZwEQeBdISyoWT0264p6WcuYvX5zc3PI5XL8Ysvqu6nEktwFby2sh/sdpy3IWBhks1nk83l0Oh38+c9/5gNaaZryhYBoMsz1sLsQWZahaRqAX7qX2PPo+z6v8FAUBaqq8m4nXdeRJMlImd5Vv4ddSIcN/x5CptlbCWu2uA4b0JmmQAvDkHd9OI6Dhw8fwvd9nJ2dodFoQJIkaJoGURRRqVTolvoG2HvhsvdEmqbo9/vodrtIkgS2bfNyu+HvC4IAp6en8H0f1Wp1pHqEPWZa3nOE3MQbJQ8b2EmSBK7rotFooN/vv7IVNEn6/T6azSZ6vR5yuRz+6Z/+CZ9//jlmZ2cBvGj16bqOXC6HfD5PJWBvWZqmaLfbODw8xLNnz1Cv1y88hpXwffPNN/i3f/u3Sx9DyF33xi3rIAjQ7Xaxt7eHWq2GtbU1PoV4GkLN8zy0221IkgTbtjEzM4N8Po9MJoMoitDr9WDbNkzTvPZC+eTV0jSF53nodrvo9/soFosXHsPC+vDwEDs7OxgMBmM4UkLG643Cmp1EtVoNm5ub2Nvbg+M4qFarF4JtUvu0gyDgizWx7g5WwzsYDHB2dgbHcXh/K3n74jhGFEVXLmHKSisHgwEGg8FU3bkR8rbcOKzZbDE2XZhVUbCBIhbIYRji7OwMZ2dn6Pf7MAwDlUqFL285bsOVCMN11ZIk8Y9puUuYZq9aZ5p1ubFKEkLeNzcOa7awTqvVguu6AMBH8YFf1mlot9vY3d3F/v4+ut0uTNNEu93G/Pw8SqUSX8v4theFH95hZLhsjBleGIgWrH93Xjb4eNlj2SYDwIvxhNt6bVhJ4VX19+xCQt4cex7Zlmx0cX7hRmHNBhS3t7dxcnLCb1Mdx4Gu63yHj2azid3dXezs7ODk5ARxHOP09BTPnz/HgwcP8MEHH8BxHKiqeuu3tuwN0O/34fv+S1vP1Kp+d85XfbwMe1/VajUcHByg2Wzeyu4vrIuMTY/XdR2iKPLzoNlsot/vIwxD6qJ5C9gWbsViEcViEaZpUq08rhHWw10EbPT+7OwM7XabTxoxTROqqvJukYODA/z5z3+GLMsolUpI0xT1eh37+/vo9Xo4Pj7G3NwcLMviL9BtYeHcbrcRhiHm5uaubFmzipckSfhJOinOB9zwkqPDJrHVJ4riSKv0de5iWFjruo6TkxMEQfDOj1OWZWQyGczMzEBRFMRxzCfi9Ho9fi4MBoNbfx/fRawBtba2xktnKayvGdasX/rw8BB7e3uIogiqqqLdbvO+RNZijaIIh4eH+Otf/4pPP/0UDx8+5CuiPX/+HD/++CP++te/YnV1lW+9dJuBwm5rASCbzV66ml4cxwiCgNcBsy6bSQrr4R282S0ju7CwIJzU23RJkvjSqWxizKuOMY5j9Ho9NBoNXnf9rrGtyUzThOd5cF0XURTBtm30+320Wi00Gg2+7gl5M/V6HfV6HZIkYWZmBsVikdZ2wTXCOkkSHBwc4C9/+QvCMIRpmrBtG3Eco1ar8Y1PWT8imxWoaRqOjo74tksHBweo1Wp8545Hjx6hUqmMbNF0G1hY93o9pGnKZyoOY6vFnZ2dQVEU5HK5kQHJcWLPsSzLKBaLWFhYQKFQgGEYiKIIg8EAnU6Hby7LJv5MUpcOW5v66OgIvu+jXC6/MuwMw8DKygoePnyI5eXlWwlH1g3Cuj+Ojo7Q6XRQrVaRyWSwvr6O5eVlBEEwEe+Nabe1tYUff/yRd6mSF14rrNkT1m63sbm5iXw+j5mZGTiOgyRJIMsy4jjm62uwW8RyuYy1tTUcHBzg+++/h67rfIum1dVV/PrXv8bGxgaKxeJLd7l+24YXu2dhfL7fnO2G3ev1cHR0hDRN0Ww2JyqsRVGEoigIwxCWZUGWZXieB9/34XkeX4Vuf38fnufx2/dJwbpB6vU6RFG8dLnUYYIgQNd1LC0tYWFhAQsLC7d4tOANk1arhVqtxjc5WFpamqjnddqZpolut8sX7qLn9oXXCmvWCi2VSvjkk09gWRYqlcpIayOKIt6dwNZ1uHfvHjRNw1dffYXvvvsO+/v7yGQyePz4MT755BM8evQI+Xyer1F8m1g1SLfbRa/XuxDCgiBA0zRUq1XMz8/zdUMmqRuEXRR1XYemaeh0Ojg+PsZgMEAmk8Hc3BxKpRIeP36MKIom5rgZ1g2ys7PDL5iv0zc5rr+D/d7zU9uHN0Agb4514w2X1JJrdIMIggDHcfDgwQOoqgrTNCEIAkzThGVZvIWdzWb51TCXy0HTNDSbTXieB8dx4DgOPvnkEzx48ABzc3N8HZHbfkFY/zRble2yq7eiKHAcB7lcjq+NzHYwmQQsNNI0xWAwQLPZRLvdhuu6kGUZlmXBtm1+gZm0N70sywiCgN8hDAaDV5ZpjbOU8vzKgMMbH1BYvz1s/GrS3q/jdq2wZhNa2KAW8OKNaprmSB8qeyOzvuCNjQ3Mz8/D930+WMNu29nJOc5bnZeV7LG6WrbkJjA5V3p23Oe7N4Ynjwwf/6QcN8NW2WPHSJOPCLnateqsWffGcHkY+/dlE0vYyZjP53l/5PDkgkk4MV8W1MP1v+f/rkkyHHLDLZJJP27genXWhLzPrj0p5qqT/6oTbbicbxJd1do8fxs2aa3SYef72s8H9ySH4PDzPMnPMSHj9t7vFMMmvVzWbz5co0zerZcFNYU5IRTW0DQNlmXxmVLDt+SmaSIMQxiGcWFTV/L2nB+wu+rr59flIOR98t4nkG3bfHYUm6EIvAiIcrkM27YhyzJ0XR/nYd5ZbFyDlW9edlEURZFvC8ZKRQl537z3Ya1pGp+9ONy6Yy1rFtIUEO+OZVkol8sIwxCO41z4OpsMs76+jnw+D9u2x3CUhIzXex/W7Nb6soE4FuKTPkg3zQRBGLm7Ob+3InuMYRj46KOPEIYhcrncbR8mIWP33oc18PLNVmkj1neLBTHbiOKyOxi2royiKEjTlLZXI+8lCmsydmxHnquwyUk0S5C8z6gjlhBCpgCFNSGETAEKa0IImQIU1oQQMgUorAkhZApQWBNCyBSgsCaEkClAYU0IIVOAwpoQQqYAhTUhhEwBCmtCCJkCFNaEEDIFKKwJIWQKUFgTQsgUoLAmhJApQGFNCCFTgMKaEEKmAIU1IYRMAQprQq6J7cl5/r/k7Rh+XmkP1F9QWBNyTWmaXvpf8nYMP6/sg1BYE/Lazrf0qGX9bkiSBFEURz4I7W5OyKWSJEEYhuj3+/B9H4IgwPd9dDodtFotdDodnJ2dQdd1xHEMWZZHWoCiKCKTycCyrDH+FZMpSRJ4nodms4kgCPjn2UXv6OgIrutCkiQcHR1BEASYpok4jvljJUmCpmmwLAuapkGW736U3f2/kJAbCMMQjUYDm5ubOD4+RpqmCIIAg8EAx8fHcF0XzWYTz58/RyaT4a2/NE0hCAJUVcXGxgY+/PDDMf8lkyVJEkRRhL29PfzXf/0XarXahTuTwWAA13UhyzKePHkCTdMgSRLvEhFFEYqiYGFhAZ999hkWFhbei4sihTWZGOxkjOMYtVoNnU4Hsiwjm82iUChAUZQ3/vmsZdxut+H7Pg9XWZYhCAKy2SxmZ2f57beiKFBVFUmS8M/Nzs4iiiIYhgFN06CqKg+c4bCWJOltPC13Dnu+s9nsSMuacRwHoiiO9FcP/1cURaiqikwmc+E5juMYvV4PnuchTVNks1lkMplLj4O918IwhCiKkCQJYRgiDEPEcQxN02Ca5sj3eJ6HdruNRqOBTqcDSZIgCAI/LsMwMDs7y/+Gt9lFRmFNJkKapvxE6XQ6+Oabb/Ds2TNks1msr6/jk08+4YF6/vuSJAHwy210HMeI45ifgOyETtMUx8fH+P777/G3v/0NtVoNAKBpGm8d37t3D//v//0/zM3NwXEcPHjwAAsLCwBetArZBzs5z/epsrCWJAnZbJb/m7zAnptqtYp//ud/RhiG1xpAHL64KooCXdehqir/uu/72N7exunpKdI0xQcffPDSsB4MBrw7yzRNNJtNtFoteJ6HcrmMe/fujXxPp9PBTz/9hK+++gpPnjxBJpOBqqpI0xSqqqJSqeDLL7/Eo0eP3voFm8KaTIQ4jtHv9/H8+XM8ffoUx8fHUBQFMzMzKBaLvPVyPviSJIHv+zg7OwMAlMtl1Ot17O3toVAooFwuw7ZtftKYpgnbthHHMZIkQbFYRKVSQT6fh+u6Iy0pTdOgKMrILTYLlquOh2GhREE9ij0fLGRvWulxfqCXvRbtdhubm5uo1WpwHAee5135M9I0Rb/fx/7+PrLZLMrlMg4PD3FwcADXdZEkyUhYJ0nC7wjSNIXneahWq5iZmYGiKEiSBLquQ5ZlfkF/myisyUQIwxDNZhNPnz7Fd999B1mWsby8jKWlJczOzl45gJQkCVzXxbNnzwAAlmXh8PAQX3/9NdbX1/kgFAvrXC6H+fl5FAoFSJKE+/fvY2lpCcViEZ1OB4qiwDTNkVbz+zB4dZtYyL7NVmccxwiCAM1mE7VaDa1WC7qu87uuq7AxCM/zoKoqDg4OsLu7C0EQLg16XddRLpdRKBRQKBSwvr6OtbU1aJqGIAgQxzFyudw7uVDTu5BMhMFggL29PZycnKDf76PX6wEAPvroIyiKcuWbn/VRPnv2DEmSYHV1FcfHx/jrX/8KwzBw7969kW4SwzDgOA4cxwHwIrzZ7eri4iIsy0Imk4GiKBdaRtdtKdGEjpd7k5bn8BgB8OJ90Gg00Gq1kMlkkKbppd1mw7+bDXZ6ngfXddFut3F6eorBYICNjQ3Mzc2NfA8bw9B1HZZlIZ/Po1KpoFAoIIoiWJYF0zRRLBahadqN/7arUFiTsWNdII1GA1EUoVAo8MG7w8NDmKaJ+fn5kf5nJgxDdLtdHB8fo9/v8y6UIAggSdLI4B8A3tcpiiL6/T729vZQr9dRLBbx8ccfw7ZtXobHTmI2WDUcLoIgjAyCXfa1bDYL27bf/RM4ZdI05SEZRdGFrydJgjiO+fN4WZ01u+NhNdlRFCEMQwC/DFDKsvzSGu00TdHtdrG1tQVFUVCr1fDTTz8hiiKsr69fekc1PPAMAKenp3yMhA0snn/PvS0U1mSshkviPM+DZVmYnZ2FZVkIwxCbm5vodDrIZDK8hGtYEATodDpot9s4Pj7GV199Bd/3Ua1WMT8/z29Jh7E63729Pfz4448QBAELCwsol8uYnZ2FJEmI4xiu6/Iwj+N4pI96OKyHb7WHq0GWl5eRzWapdT2EPV+DwQC1Wo1fCIFfWsue56Hf7/NWLAvk4cfJssxbuLIsI4oiCIIATdOgaRoGg8Ern/c0TdFoNPDHP/4RQRCgWq1ie3sbmqbh4cOHWF9fv/L70jRFr9fDt99+y6tAPvzwQ+RyOX639rZRWJOxG+4fVlUVuVwO5XIZnudha2uL9wVedtvs+z6azSYfVAyCAKIowjRNXsJ1vnXLTnbHcVAul+E4DhYXF1Eul0e6W1g3xnALWhAEfidwenoKSZIwMzPDW1Pnuz4oqC9idy21Wg29Xu/C89VoNHB0dATLslAoFGCaJr/bGa4GsW0biqLAdV2cnJxgZ2eHX1x930cmk8HMzAzm5uZGauHZMQCAqqooFAqQZRkPHjzA8vIyDMPA2tralXdF7HgVRcHs7CwKhQIymQyWlpaQzWbfWckmhTUZK3bisZrWfr/Pg5mdSLZtQ1XVS29pfd9Hr9dDGIa8xcz6m33fx2AwGGn5RlHEb72LxSLu37+P1dVVLC0t8VYaOy5VVeE4DgRBQJIkvOogCALUajWcnJxA0zSsrq7Ctu2Rulp2wSCXS5IEQRAgCIJLw3prawulUom3qjVN4xUW7ILJyv4GgwFOT0+xubmJzc1N1Ot1JEmCUqmEk5MTdDodXg/PsBpr0zSxvr6OUqmEzz77jM+IVFUV2Wz2wnEP12bLsoz19XVsbGwgn8/DNM13OpuSwpqMHbuNLBQKcF0Xu7u7aDQayGazKBaLmJ2dhWEYl7ZY2FTwDz74ABsbG1hcXIRhGFBVFQsLC3AcZ+T7Op0Ojo6O+ElcKpUgiiIcxxkJahYQxWIRtm2PTMpgk2lYv2i5XOY/Z7g1bhjG7TyBU0YURViWhZWVFQRBcKF7yfd9PH/+HIVCAYuLi5iZmYFhGCNhzaabG4YBRVHw4MED2LaN+/fvY3d3F+12G6qqolQqwTCMCxf6JEl4w4BVCLELNnu/XPV+a7VaqNVqOD09xcnJCarVKiqVCr8DeFdrmVBYk7ETBIGXRLmuy9fjMAwDS0tLmJub4+V0w4Znny0vL6NcLmNtbY1XA6iqOtIiZ0HreR4Mw0CaprzS5PxsM9bityxrpK+U1XWzMGAz6dgt+fnWNbmIVeXMzMyM1COzC93x8TEsy0Iul0OlUkG1Wr10bRD2ehiGgWw2i0qlgqWlJVSrVTSbTaRpioWFhUvfO6xLhb3HqtUqHxy8ChsYZbNXc7kcH9wcniT1rlBYk4mgaRoqlQoURUGxWITrulBVFfPz88jn89B1/UL/L+suURQFmUwGlUqFt6SGy/XOh7Bt2/jVr36FKIqQzWaRzWb5jMfz/dXniaKIMAwhSRJvwbMJNmzGJPVTX224xvqyYGODhOxCqOs6dF2HpmmvLPUzDINPtvF9H6IoIpfLQdO0kdeEtc4Nw8Dc3Bxs2+ZdVldNdGLdH4IgIJPJ4PHjx5idnYVt28jlcrxr5l3W5FNYk4kgSRIymQyfIeZ5Hj/ZLgtq4EVwskFBVj/Nuh6uCoJMJoPZ2VkUi0WkaQpJkmBZ1rVaROw2nLXKWVhTXfX1XPVcnV8elXVHvM5zq2kaCoUCv3gqinLle2d4hurw77nqWNk4Rj6f591skiRB1/Uru+neJgprMhFYt8P5rgf2tcvIsoy5ubkLkxde9jtYS/p8K+26ITs8nZyF9XC1Arm54dr1m2w+MNyVcdlrwV674TVjXuc1Y9+j6/qllSLv+nWnsCYT4zZL3t7mz6fdTCbLTS687/p3vA00AkIIIVOAwpqQaxrum36T23VCroO6QQi5ATbYxLb/Gi4rI+RdoJY1ITcgiiJfuzgIgmsvok/IdVFYE3JNw7MU2cSMV62bTMiborAm5Aau6rcm5F2hsCbkLaDaavKuUVgTcgPDy6FSq5rcBgprQq6JhTTbNortFELIu0RhTcgNsI0SJElCEAR85TVC3hUKa0JuQBAEvpBTFEXUsibvHIU1ITdA1SDktlFYE3JD5zd6JeRdorAmhJApQGFNyDWxLhC2nnUURTSDkbxzFNaE3ADbhYRt80XVIORdo7Am5AaGS/fYJqo0yEjeJQprQq7pfDcI29aLkHeJwpoQQqYAhTUhhEwBCmtCCJkCFNaE3ACtDUJuG4U1ITfAwppK98htobAm5JqGl0gVRZGWSCW3gsKakBugzQfIbaOwJoSQKUBhTchbMsmt60k+NvJ65HEfACHTZhpmMCZJgjiOEUURRFGEJEn8eIcfE4YhkiSBpmkQRWq7TTJ6dQi5AUmSoOs6ZFmG7/sIw3BiWq9pmiKKInS7XRwcHKBeryMIgpELSpIk8DwPz58/x9bWFgaDwRiPmLwOCmtCbmC4GmQSt/WK4xj9fh/NZhPdbvdCaWGapgiCAMfHx9jf34fv+2M8WvI6qBuEkBsQBAGiKI5Ug0xKyxp4EdZhGMLzPOi6jiRJLoR1GIZot9s8zMlko5Y1IW9gkgL6vCRJ+MdlF5M0TXm/9iT9HewCCGDiLoLjRGFNyBua1EBhA6HsDuD8XpHsa+cHHseNjQew6fyTdGzjRGFNyDWdD8HhjXMnIViGJ+ywMGb968PYbjeqqkKWJ6dHNJ/PY3l5GZVKBZlMhqpU/s/kvEKETBE2wCgIAnzf5xUhYRhCluWxlfKx6e+sa0MURciyzLcgGz5+QRD457vdLjRNG+tAKbvQxXGMUqmEfD5PJYVDKKwJuQG2kBMAdLtdPlCXpunYwnp4+nsQBAjDkAeyqqojrX7WdSPLMqIowtbWFg4PD8deL87uUiRJ4heSSbhbmQQU1oTcwHDL2vM8nJycYGtrC6ZpQhTFsfRhs1CTJAmGYSAIAgwGA8RxfCHw0jRFkiSIogiu68L3fUiSNBF975qmwXEcFItFalUPobAm5AZY+CmKAsMwMBgMsLu7ywfFxhXWaZpCURTMzMwAeNHqD4LgwmPZxJkgCOB5HmRZhiRJt33Il0qSBKqqUjnhORTWhLyBSqWC3/3udwCAbDY7EdULoihC0zQMBgP4vn9p6LFuEEVRUC6Xsbq6Csdxxt4NArwIa0EQkM/noSjK2J/PSUFhTcgNpWmKYrGIX//613wNjnETBAFJkiAIAgRBcOVa28N91o7jYH19HdlsdgxHfJHrujg5OUEURYiiiHc3ve8orAm5IUEQYJomFEVBmqY8UIbL+W4bm/7ebrfR6XReeSxs0swkdTns7e3hq6++wvz8PDY2NjAzM8MHc99nFNaE3BAbZJykGmUAUFWVTzPPZDKXBh2rwZ7E0jjWsjZNE77vT0TXzCSYrHcZIeSNpWkKSZJgmiZyuRxM07z0cewxcRxPzOAiAL787FUzL99XFNaE3DGsxa+qKjRNuzKIWcs6SZKJal1PQvngJKKwJuQOkiQJqqrCNM0ru0FYPTZriZPJRmFNyB0kiiIymQxkWYZhGJd+XVVV2LYNABPX704uoleIkDuGtZp1Xb+yG4SFNfsatawnH4U1IXcQ23NxuKRwmCiKfJEnADSINwUorAmZAmyjALbOB2sJs01v2cJNhmHANM2RZVJf9jMv+3oURfxnstX7WD02W25VlmVomkb1z7eIwpqQCce24Or1ejg7O4Ou6yiVSnx51otsyc4AACAASURBVE6ng1arhV6vB8dxUCqVYFnWSDfH8M9im+eyEGYzGdkH22z37OwM3W4XnufxQUjWB57NZpHP5ymsbxGFNSETLkkSuK6L7e1tfPXVV6hWq/j9738PXdfR6/Xw/Plz7O/v8yCfnZ3FBx98gLm5uQtLjPq+j/39faRpCk3TcHp6isFggFKphFKphFwuhzRN0e/38fTpU2xtbaFer8M0TRSLRQCAZVlYXFyEoijI5XLjelreOxTWhEw4ttZHs9nEzz//zDfCVRQFwIv+ZzZbsV6vo9vt8sX7zy+E5Ps+9vb2kCQJbNvG3//+d3S7XWxsbMA0TWSzWd6XLYoiBoMBDg8PMTc3h/n5+Ymd9fg+oLAmZAqwAUE2aMjW8rAsCw8ePMCDBw8QRRH++7//G0+ePEG73cZgMOCLM7H+ac/zcHBwgCiKUCgUsLW1hV6vh+XlZQAvLgyapqFQKOCDDz7g64ysra3hd7/7HQzD4EFtWdZ4noz3FIU1IROOldmxli8LTLabimEYUBQFSZKgVCrh9PSULzDFsFmB/X4fnU4Hg8EAQRBgb28PaZryxf7Z7ixswowgCGg2m9je3kY+n0epVEK5XMbMzMyl9dvk3aGwJm9suFoA+GWRoNepRrjqc5d97/DvuaySgVVJ3LUyNDYb0bIs5PN5WJbFB/tYICdJAt/3kcvlcP/+fVQqFR62w1/vdDpwXRfNZhOdTge1Wg2WZcG27ZGWMqsycV0X9XodZ2dnCMNwZCU8mkhzu+jZJjfC1kMWRRH1eh3fffcdtre30e12sba2hkePHmFxcRGmaV4arEmSoN/vw/d9aJoGQRDgui56vR6CIMDMzAzy+Tx/fBzHqNVq2N7exp/+9CfU63VkMhkAv1wcFhYW8A//8A88SO5Sv+rwbuXsQjg8eNhqtXB8fAxVVfHgwQMUi8WRfReTJEGv10O9XsfR0RF2d3cRhiFqtRpEUcTOzg4qlQoKhQJfP5ot9DQzM4NisYgPP/wQuq7zTRbI7aKwJjfG+k5d18Xx8TG2t7dRr9cxGAz4ovZX3Sqz8Dg7O4Nt2xAEAfV6Haenp3x5z+GwZi3D09NTfP311zg8PES1WuUz9NiazB9//PHErSL3ptgdRRzHCMMQURTxvzdNU/i+j3q9jsPDQ5RKJRQKBWiaNvIz2PPd7XZ5CKdpimw2i7m5OaRpCtd1eTUI+/mCIPDqjw8++ACiKMI0TWpVjwE94+RGWIvN930oioLHjx9jZmYGzWYT+/v72NnZwfr6+khL7bxut4ujoyMEQQBRFHF4eIiDgwN4nod79+5d+H35fB7Ly8tYWlqC4zj49NNPUS6XoWkaer0eLMtCNpu9c8tqsqAOggCu68J1XQwGA7iuiziOcXZ2hlqthl6vB8Mw0Ov1eHfR8Aa+nU4HaZri0aNH+Oyzz1Aul6EoCjKZDCqVCnK5HARB4NUmnU4HnU4H/X4faZoik8kgl8vxPnJyuyisyY2xW+VsNgtd11GpVNBsNhFFEQaDAQBc2cpNkgSe56HdbkNRFMRxjOfPn2MwGFzaMmTlaY7jIJ/PQ9M0LC8vo1QqQVEUPnsvm83euX37kiRBt9vF8fExdnd30el0sLi4iGq1iiiK8NNPP+Hw8JD3WS8tLWFjYwPz8/P8Z7Da6TiOMTc3h9nZWczPz0PXdd7/zfr7Pc9Ds9nEDz/8gL/85S94/vw55ubm0O/3US6XaWBxTCisyY2xANV1HQCQyWQgSRKWl5fR7/f5SX3VQGG/30ez2QQADAYDbG1toVgsYmFh4cJ+gKxCQZZl6LrOpz77vo8gCHiIs2O4S1gXRavV4jMKNzc3+bjBDz/8wKs6NE1Do9FApVIZCevh3dgLhQKKxSIcx7l0BmIcx+h0Onj69CmePn2KTqeDXq+HXq83Udt/vW8orMlbkyQJBoMBNE2DaZpwHIcH+TBBEBDHMXZ3d/E///M/UBQFvu9je3sbKysrmJ2dvdANMkwURTSbTXz77be8D5VN6riLZFlGuVzGF198gdnZWYiiyMMWAMrlMnq9HoAXz41lWVheXuZrhAAvtvpaW1vD4uIiMpnMletcA4Cu61hcXMS//Mu/4PPPP+cDvuxnkvGgsCZvRZqmfABL0zTYtj1SOnbZ4zudDg4ODmAYBlRVhWEYfOeSl+0WkqYpPM9DvV6HLMsX1ru4a0RRRC6XQy6Xw4MHDy58/WUXNkaSJMzMzLzW71MUhU8/J5ODwpq8sTAM0Wq10Gq1kKYpCoUCCoUCrxY5X/ucJAkEQUCxWMRHH32Ehw8f4t69e1AUBZZlIZfLoVwuX/g9w2VohUIBH330ER8YcxyHT5Um5C6isCY3xpbtbDQafIqzJEm8tMyyLGQymQuLCcVxDN/3+e32o0eP8OjRIz7Zg/VHn/9dvu+j2+2i2WzCdV0AQKFQwPz8PC/ho7AmdxWFNbmxOI7R7/dxfHyM77//Hp1OB7Zto1arYWZmBg8ePICu6xe6Jli1iCRJKBQKvMuETWS5qnqEzbxjH2wKdLlchq7rFNTkTqOwJjfCKhEEQYBpmpifn4fjOBcGF893gbBZj6xVXSgUeL3vVWHLqkdEUYTjOPj444/hui4WFhb4IBshdx2FNbkxQRAgyzIKhQI+/PBDDAYDvmpbNpuFbdsXap7ZIvaWZfHBxOFp0S+jaRpmZmbwxRdfIIoimKZJs+nIe4Pe5eRG2IQYtvZxJpPh1RjDNdHn+6uH17UYngX3srBmFwW2+lw2m+W/Z3jpUELuMgprcmPDiwtdZ/rxTaaDs4sDWxaUkPcNjcgQQsgUoLAmhJApQGFNCCFTgPqsya2I45jvJHN+QJB9bXhxfULIKAprciuCIOClfayiQxAEpGmKwWAA3/chCAJ0XafFggi5BIU1uRWu66JWq8H3fdi2zZcyTdMUrVaLL5VaKpUorAm5BIX1HcFmFA5vKDtJwjDEYDCA53lQVXXk+Firmz2OEHIRhfUdcdmGqpPoqh3N2ecn7SJDyKSgsL4j2Hob2WwWsizDtm2oqjoxg3WvuniwkGZ3BqIoIo7j2zi0l2IXwUm9+JH3B4X1HcBm91mWhSiK4Ps+MpkM0jRFGIZjDRq2WWsURYjj+MqWM3tMv99Hu90GgLGHNTtWWZZhWRbNnCRjRWF9R0iSxFe96/f7fJNVtu7zuAzvrO37/qWBLQgC3xLs9PSU76Y9rrBmx5MkCcIwhGVZWF1dheM4E93FRO42Cus7gLWs2Uay9XodjUYDrutOzAanbNst0zQvDWu2uYDneTzUWV32OCRJgiAIUKvVYJomb1mzdbcJuW30rrsjWGsvCAIcHx9jZ2cHjUYDnueN9bhYMGuaBsdxrtwHkFWyDA82Dn//bWHPI7t47O7uQhAELC8vI5fLQVXVC2t0E3IbKKzvkDRNoWkaqtUqTNOE53kv7Se+DSzUBoMBwjC8dLfz4TWuLctCsVgEML4+a0EQEEURWq0WTk9P4bou786hahUyLhTWd0QcxwiCAGEYwnEcFAoFmKY59nWeWcgdHR3h+PgYnuddaJWytakzmQwqlQqWlpZ4v/E4CIKAMAzRaDTw/PlzNBoNaJpG/dVkrCis7wBWSXF2doazszN4ngfbtrG0tARZliciYFjXwauOZXjdkHGWHbJNe9kGC5PwHJL3G4X1HcAqJ3q9Hur1Oq8GqVar4z40jk3YuSqw2ecmJRQn5TgIYSis7whWveB5Hvr9/kh/9SQED2sxs5bqMPZ5YHJCkvqmyaShsL4jzq8NMmnrgyiKwje3NQxjJJRVVUUmk4EgCNA0bYxHScjkorC+I4bXBpnE6dGqqsK2bcRxDF3XR7o92Cp7oijCMIxxHiYhE4vCmtwKXdchyzIv0zsf1pqm8ck9hJCLKKzJrZBl+cqZf6qq3vLREDJ9JmNJNkIIIS9FYU0IIVOAwpoQQqYAhTUhhEwBCmtCCJkCFNaEEDIFKKwJIWQKUFgTQsgUoLAmhJApQGFNCCFTgMKaEEKmAIU1IYRMAQprQgiZAhTWhBAyBSisCSFkClBYE0LIFKCwJoSQKUBhTQghU4DCmhBCpgCFNSGETAEKa0IuIQjCpR/sa4TcNtrdnLzX0jQd+S8L4iRJRj7iOEYcx/zfokjtHHK7KKzJe4sFbxRFiOMYwC9hHUURfN9HEATwfR+e5/F/i6IISZIgSRK1ssmtobAm7604jtHv99Fut9HtdgGAt5ijKEKr1UK9Xker1cLx8TEkSYLrusjn87BtG6ZpQpIkAL+0zJnhf7/t7pM0TZGm6chdAPv5538HXUzuDgpr8t6K4xiu6+Lk5AQnJycAXoS1IAgIwxCdTgeNRgPdbhcnJydIkgTdbhdRFEFRFOi6zsM6SRKEYcg/4jiGIAiQZRmapkFVVf7Yy7AAZv8PjIb8cOhGUcRb+lEU8W4ZRVH449nvZJ8j04/CmrzXRFHkgcr+zf5rGAZ0XUcYhjBNE6ZpQtd1KIpyIUD7/T5OTk6ws7ODo6MjtFotGIaBubk5bGxsYGFhgV8IzkvTFEmS8JAe7pIRRfHC97VaLTx9+hQ//PADDg8PoaoqMpkMbNuG7/tQFAWffvop7t27h2w2S/3rdwSF9R1wvlrhqs+RUaIoQtM05HK5kZAGXgRmNpuF53no9/tYWFhAoVDgoahp2shzG8cxBoMBWq0WTk9PUa/XkSQJms0myuUy5ubmrjyOMAx5N0yapuj1egjDEKqqIpvNwrbtkcANwxDtdhtPnjzBzz//jFwuh0qlgkqlAs/zoKoqer0eD31yN1BY3wGCIECSJN4KYx+yLFNYXyFNU8iyDMuyoKoqCoXCha9HUYSFhQUkSQJd16GqKmRZhqIokGV5JEBN08Ti4iIKhQJ+9atfod/v48cff8Tu7i7CMLzQzzzMdV08ffoUgiAgTVNsbW2h2+3CcRw8fPgQGxsbkOVfTtVcLocHDx7g6OgIqqpiYWEBy8vLWFxc5K99sViEaZr0+t8hFNbXxG5X33bLlZ3M7JZ4+LaY/T4WyMCLE9zzPB4qg8EAp6enaDabcF0Xsizj4OAAlmXxvlJJkqBpGu/PfN9PZPacsudjGHvubdseefxlddcAoCgKbNtGNptFkiQIggCdTgedTgeapl3ZBQIAvu+j1WohjmOEYYgnT54gCAJ8+OGH/PUeDnpd11EoFJDP55HJZJAkCQaDAfr9PqrVKorFIhRFoWqVO4bC+po8z0MQBJBlmQ/gvI0TgoUuu+12XRdJkvDWliRJMAwDmUwGsizj6OgIJycnfEArCAI0m020Wi0++AS8OLHZCW+aJsrlMkqlEnK53EsHvO46QRB42V4QBIii6LW+h5Xtne+3Zv/ParHDMIRlWVhaWnrpc52mKYIg4B+u6+Lo6AiZTAYrKyuYm5u78L3sGIAXF+16vY69vT08f/4cv/nNb5DL5aCqKvVV3zEU1teQJAnvj2S3mgsLCy89Ec//mwXw+RNdFEX4vo+trS1sbm5iZ2eHVx3EcQzDMFCpVLCxsYGVlRWEYcjrfuM4RhRFUFUVuVxu5Ps8z+M/X5ZlXlPMKgje55ZXFEXodrtoNBpot9sAXl3qJssyHMdBPp9HNpsdee1Z67ff7+Pw8BAAsLKyMtInPoxdoFutFvb29iDLMtI0xdHREe8fZ7/jsuNi76VsNgtFUSCKIn+PkbuHwvo1sJMwiiIcHBxga2sLqqpidXUV1Wr10rBmJw2b+RbHMW89RVHET3pWhcBa0M1mE0+fPsW3334LWZZRKpWQpilM04Tv+5iZmcHS0hIMw4DjODx8h2+Th8vA2M9m1Q2GYYz0f77P2MWs2WyOlO69DCuFM00TmUxm5LVPkgS+76PT6aBer8O2bVQqFZimeeXPY90lJycnME0TmqbxsD1/sWeGu8xkWUalUoFt27AsC7lc7r2+AN9ldNa+pjRN0e/38ezZM/z888+Yn5/ng09XieMYnU4HvV4Pruui1+uh0+ng9PQUuq7jt7/9LWZnZ3nLSdd1rK6u8vBYXV3Fb3/7W2QyGX67nM/noWkaZmdnUalULgTzy0iSBFmWIcsy9WfiRTCrqgrLsuD7/muNQSiKAtM0Lx28TZIErVYLruvCtm3Yts1by5fdySRJAs/zEIYhRFFEu92GoihYW1tDuVxGs9lEvV5HpVIZ+d7h7hjTNFGpVHD//n0sLS3BsizeyiZ3C4X1NbBJDq9bZcFOxuGZcJ1OB8fHx3AcB0EQjPyc4VvsTCYDx3FQLpd5mRgLdFVVLwyIkesTRRG6riOfz/Pn8/zdCftgFzdZlmEYxoXSvX6/j1qthp9//hn1eh2SJMG2bTSbTczPz1+oNgHAJ9n4vg/LsmDbNnK5HHRdh+M4cBzn0tDt9Xo4ODjgA8q1Wg0LCwsoFovv/QX4LqOwfk2CIMA0Tdy7d+/CjLGrsIGmXq+HRqOBZrOJwWAAAHzCBWt5MawiYDAY4ODgAN999x08z4NlWXj48CFv1ZE3x4KX9fUDv4Q1GwdgA7WGYfBBRdaqHQ7SZrOJn376CV999RV2d3eRpils28a9e/fw5ZdfXhqkSZKg0+kgCAIUi0WsrKxgbW0NiqJAURRomsbLBIe/9+zsDH/729+wvb2N/f19PgFnfX0dxWLxXT9tZEzorH8N7ERhFRmmaSJJkpd2JbBW9cHBAba3t1Gv13F0dIROp4NyufzK0BUEAb7vo91uo9/v889LkoQ0TdFut3nFyOt0g7BWoa7rvHX+vt8qs+dkuN+ZvZ6+72MwGOD4+BhJkmBtbQ2GYVxZK61pGsrlMj788EPMzc0hSRIYhoFSqQTbti/9HkEQoKoqisUicrkc5ufnUalUeDhf9d7SdR3VahWfffYZ1tbWoKoq7t27B1VVL0xVJ3cHhfU1ne8jviookySB67rY2dnBkydPeEu52WzycrrzJ9Twzx6uARZFEdlslq9FEUUR6vU6Tk5O+NoQryIIAgzDQKFQQKFQuDCp4312WbDFcYxut4tnz54hjmMsLCwgm81eGYLZbBZra2tYWlri1TaCIEBRFBiGcen3iaKIXC4HTdMgyzJs277QYj8vTVM4joMPPvgAq6urSNOUd+cYhnHzJ4FMPArraxiesMK6K66a0sta1oeHh9ja2oLneeh0OoiiCMfHx9jd3YXrupf+fHayF4tFPHr0CJqmwTAM5HI5yLKMJEnQ6/VwdnaGIAgutK5ZZckwURRhWRY0TUM2m337T84dwypF2GSVV9Vhs+6KyxZjYhfm84EtSRLy+Tzvm2bLrr4MuwAM/66rJuqQu4XC+jWwW98gCPgEBOBF+Va/34emaRdOMtZf7XkeJEnCysoKn1VmmiZmZ2cvDBKGYcjXlqjVarzao1QqwXEcfjJHUYRMJoN8Pj+yFjMzPEjGsNK9TCbz1iby3GVpmvJyy9e5e7nJXQpbHe+66I7o/URh/ZpYt8bm5ib++Mc/8inKjx49ujA5gj1eEARYloWPP/4Y//qv/8oX82ETVHRdB/BLuHqeh/39fWxubuLp06eIogilUom3hlk/s6IoWFlZweLi4muX7bHfM7yGCHk51lJ93ycPkclAYf0a2ImqaRoePHjAW0TLy8vIZDKXBh9r7RYKBaiqisXFxVd2PyiKgkqlgk8++YT3L9+/fx+O44z0MQ+XEJ4XRRFOTk4giiIqlcp7PaWckLuEwvo1CYKATCaDf/zHf8Rvf/tb3sd4vpoA+KX7QVEUVKtVKIryytvoNE1hGAYePHiAlZUV/OEPf4AkSXylt9dpCbMZkN999x0URcHnn3/+3q8BQshdQWF9DcNTtpmXlXIVi0UetK/qm2RdFCygbyoMQ5yenkJVVb40JyFk+lFYv6Gr+jLZkplsXQg2ev8u+z7ZoJjrupcOPBJCpheF9TvABqbSNL0wjfldGy4vfN0JM4SQyUdh/Q6Ns4KAQpqQu4Xqt+4oKjUj5G6hsCaEkClAYU0IIVOAwpoQQqYAhTUhhEwBCmtCCJkCFNaEEDIFKKwJIWQKUFgTQsgUoLAmhJApQGFNCCFTgMKaEEKmAIU1IYRMAQprQgiZAhTWhBAyBSisCSFkClBYE0LIFKCwJoSQKUBhTQghU4DCmhBCpgBtmEvIlEjTlO+tObwh8vnPsf8KgkB7cd4hFNaETIE0TZEkCeI4hu/7iKIImqZB0zSIoshDudvtwvM8mKYJTdOgKMqYj5y8LdQNQsiUiOMY/X4fjUYDBwcHaLfbiOOYfz1NU5ydnWF3dxetVgthGI60wMl0o7AmZEqkaYowDNHv99HpdOD7PpIkGXlMv99Hq9WC53kXvkamG3WDEDIlWFdIGIa8K+S8MAzheR6iKKJW9RikaXrheX9bYwcU1oRMCRYE5z+Gv54kCZIkuTQ0yLuTpiniOEYURfB9H3EcI01TKIoCVVWhKMrI2MJNUFgTMgWuG7wU1LfP8zw0Gg08f/4cjUYDoigin89jbm4O5XIZ2WwWkiTd+OdTWBNyBUEQ+MlFJXDkVVzXxc7ODv793/8dm5ub0DQNKysr+NWvfoWPPvoIuq6/UeuawvoOYn1koii+0ZX8faYoCgzDQC6XQxzHUFV1rMcjiiJ/PV/nhKeLy+0SBAGapiGbzcJxHCwuLmJ9fR1JkuDZs2cwDAOapmFubu7G7yUK6zuI1ePGcYwwDPmbg26NX214gomiKCgUCkiShH9+XBUWSZIgiiKEYYg4jnm/9F3EnutJueCwc4mVSQqCAFmWIUnSyDHquo5isYjl5WVUq1X8/ve/x9OnT/Gf//mfOD09xfz8PCqVyo2Pg8L6DknTFFEUYTAY8P4z9sa6qyf2uxJFETzPQyaTAQC02214nje240nTFEEQoNPp8NK8KIp4aE9KsL0N7O5BFEXIsgxZHl9MxXGMn376CT/++CN2dnYQBAEKhQI+/fRTPH78GIZhQJZlCIKAMAzR6/XQ6XTgui62trbQarWQy+UwOzuLYrH4Rn8LhfUdwro/FEXBYDDA0dERXNflXSEU2K+PVVOwlvTh4eFYAlEQBP66BUGAXq+Hfr/Pa67f5DUdnhU5CRNohmdhDgYDuK6LdrsNy7JgmubIBKB3LUkSBEGAdruNp0+fYnNzE/v7+3Bdlwe0aZpYWlqC4zhI05TXuLuui0ajgR9++AGapqFSqWBmZgaO49AAI3lBEATouo5KpYLT01McHR2h0WhQv/UNXBZc42q9sgtHGIYYDAaI45iH15sMWMVxDM/z0Ol00Gg04Hne2FvogiBgZ2cHp6enkGUZlmWh1+tB1/Vb64JiF7FGo4GjoyMEQYBKpYK1tTV0u13s7e3h8PAQ33zzDSzLgm3b8H0fnU4H7Xabv1ZbW1uoVqt4/PgxbNt+4zsECus7RBAEZDIZPH78GPPz8/xEHvcJOK3OP2/jaHmyljXrBnFdF4PBgHcR3BQLpF6vh5OTE+zs7KDX643tvTL8e/f399Hr9VCv16HrOlqtFlRVvZWwZs93FEU4PDzEwcEBFhcXcf/+fVQqFRiGgWaziaOjI+zs7KDb7fIus9PTUxwfH2N+fh7VahW7u7uQJAmu6yKKIqqzJr9I05SHNSvKp8kR0204rFnrrV6vo9PpQNO0K7/vdV7z4QtAu91Gp9OBKI5nBYrh7p4oimDbNjRN4/30kiTdyvt4OKybzSba7TZmZmb4hc113ZGuI3a3w9Zk2d/fx+9//3vMzs5CFEXU63W0Wi34vk9hTX7B6oKH+6gpqO+GNE0hyzKiKIKiKFee9CxIXvW6s4HnYrEIXdcxOzuLMAwn4i4sDEMEQcAHF9805K6LzUZsNpvY39/HkydP8B//8R/8ghkEAZaWlvDo0SOYpon9/X387//+L77//nucnp5CFEXYto3t7W3k83l8/PHH1A1CXo66QO4WWZahKAp0XYdhGHwK8zBVVfnXXvXaS5KETCaDTCbzRiVld1Ucxzg5OUGv18OzZ8/Q7XaRJAmy2Szu37+PDz/8EI7j4PT0FK7rQlEU5PN5XqkTxzGvuXYc543PRQprQqaEKIrQdR25XA6qql6YviyKIgqFAkRR5I8hNycIAvL5PP7whz/g0aNHOD09BQAUi0XMzs6iXC5DVVVkMhk4joPBYMDvfERRRBAEyGQyKBQKvAT0jY4npftkQibe+c0HwjCEruvQNG2k26vX6/HNB3Rdp0qgN8S6RDzPQ6vVAgBks1nous43dhjeoef8bj5sJvHbuMulsCZkCpwPBIaFAfsa669mk0qoG+zNnV/JkI0N3fZgLIU1IWN22VKnwC9jDi8L3NedvXjZsqpX/R4a65hM1GdNyJixKoN+v88nvei6DsdxXlqeB7z+RJ04juG6Lvr9PoIg4OuLAC8GGtnApGVZfPo0mSwU1oSMWRzH6PV6+Omnn7C1tYUwDLGwsIAvvvjilWH9usIwxLNnz/Ds2TM0Gg24rsunmLMFiO7fv4+HDx/Ctu238jvJ20VhTciY9ft9HBwc4Pj4GM1mkw8eHh8fQxRFZLPZS2t02aSMOI553zUrG2MDjMPfJ8sywjDE4eEhfN+HbdvIZDIwDAOe5/EJH2QyUVgTMmbtdhtbW1sYDAaoVCpI0xSapmFvbw+iKELTND5gOGx44SBBEKCqKk5OTuC6Lu7du4fZ2VlkMhm+uNfKygrCMMTOzg4cx8FHH32Ee/fuQVVVbG1t8QWKyGSiV4aQCRDHMQaDAYAXpWGGYYxMbrmsD7nf76NWq/H6X9M0cXBwgH6/j3K5fKFqhJX6sRJA4MVWVKIo8nUvXmcyDRkPCmtCxkzTNDiOg1qthna7zaeBF4tF2LZ9Za30YDBAvV7H3t4en4DRarUgiiKSJBlpiQ8HcBRF6Pf72N3dRbPZRLFYxOrqKorFIoX1BKOwJmTMTNPE/Pw8D09JklAqlWDbNizLurSeN0kS+L6PbreLs7MzNBoNAOBLeWaz2StDN4oiPHv2DNvb27As5RIxLAAAAvZJREFUCxsbG5ifn4eqqlS2N8EorAmZALIs8/370jSF67ro9Xq8lO5869r3fZyenmJ7exubm5s4Pj5GHMd4/PgxVlZWrhwoZAs4sdl3pmnCNM1L1xkhk4XCmpAxY33PjuPg8ePHqNVq6PV6+Pvf/44kSXD//n0ergD4riTb29v405/+hKdPn6LRaPA1rkulElZWVlCtVkd+DwtwwzDw+PFjbGxsoFKpoFQqoVgs8pmPZDJRWBMyZr7vo9FoYDAY8DWm2XrKruteWO40iiK+PnKlUkGlUoEsyzAMA3Nzc7h//z5KpdJIwEdRhHa7jcPDQ+zv7/MWe7lcxuzs7IXNX8nkobAmZMzYNlCtVgthGPKV2y7bQRv4pb46l8vhk08+wcOHDzE/P88X7Jck6cL3svWZT05OUKvV+IbKYRiOVJxQYE8uCmtCxsxxHDx8+BCZTAaNRgNpmsJxHCwtLWF2dvZC7TPbRkqSJNi2jXK5jEql8tJlOFmddqFQwOeffw5FUfgyqrTg03SgsCZkzCzLwsrKCl+rGngR4AsLCzBN89J+ZEmSkM/n4TgOstnsSJfHZSRJgmVZWFpaQj6fR5qmME0TlmW9k7+JvH206h4hY8ZWwmO7iwAvWsLDNc/DLV82NTyKIkiSBMMwoGnaS2cfsuVThxdwYgOStOb1dKCwJmTKxHHMd8tmre7hda3J3URhTQghU4AuxYQQMgUorAkhZApQWBNCyBSgsCaEkClAYU0IIVOAwpoQQqYAhTUhhEwBCmtCCJkCFNaEEDIFKKwJIWQKUFgTQsgUoLAmhJApQGFNCCFTgMKaEEKmAIU1IYRMAQprQgiZAhTWhBAyBSisCSFkClBYE0LIFKCwJoSQKUBhTQghU4DCmhBCpgCFNSGETAEKa0IImQIU1oQQMgUorAkhZApQWBNCyBSgsCaEkClAYU0IIVOAwpoQQqYAhTUhhEwBCmtCCJkCFNaEEDIFKKz/fzt1QAIAAAAg6P/rdgQ6QoABWQMMBBlgeTbxAJu8AAAAAElFTkSuQmCC)
physics-General
physics-
A capacitor of capacitance
is filled with two dielectrics of dielectric constant 4 and 6. What is the new capacitance?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWUAAAD1CAYAAACIlORMAAAVS0lEQVR4nO3dWXMT2cGH8X93a2mt1uZNRmYxxoaYQDKTyVKpSj5BKp8hnzKVyyQ1VZOZoShCgQMBbBlvYAkvkrV293sxb2uMF2AmMj6Mnl+VL8CyfOxqPT46vVlBEAQCABjBvugBAAC+R5QBwCBEGQAMErnoAQChIAgU7uKwLEuWZV3wiICPjyjjQgVBoF6vp06no16vJ8uylEwmFY1GiTJGElHGhQmCQJ7n6dWrV1pfX9fBwYHS6bRu3LihsbGxix4ecCGIMi5MEATq9/va3NzUgwcPVK/XNTk5qenpaWUyGTmOc9FDBD46dvThQoTrx/1+X1tbW3r48KH+/e9/6/nz59rb21O/37/oIQIXgijjQgVBoG63q2azqWazqVarJc/zxDlNGFVEGRfOcRxFo1FFo1E5jsORFxhpRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADBK56AEAwMcSBIEkybKst/59HsLv8UOda5SDIDjXHxqfnh+zoR7dhtiecJpwu7Is60R4Q0EQyPd9+b7/3jaFnzv6XEcfb1nWe7fl8DG2bcu27VPHdJpzi3L4C/A8jxcSBhzHkeM4P/jrPM8bvJiA447G76zw+b6vw8ND7e/vq16vq9frvTfMlmUNtrvwuc+K/vGvi0ajSqVSKhaLSqVSchzn4qIcBIE6nY7a7bba7bY8z/vRU3n8tLiuK9d1FYvF3rtNBEEgz/PUbrfVarXU7/eJMk5lWZYcx1EsFpPruorH4yce4/u+Wq2WXr16pefPn6vZbJ76POE25nneWx1LJBJKJpOKRqODme9pwignEgmVSiXFYjHF4/EPnowMPcpBEKjVamltbU3r6+uq1Wrq9Xrv/CHw0xdu6Pl8XtPT06pUKspkMiced/xt6ObmpqrVql69eqV2u80fd5zJcRyl02nNz89rdnZW0Wj0xPZi27Ycx5Ft24pEIu+c7R4eHuq///2vXrx4odevX6tcLuvGjRuDbfesCUIY5UgkMnhn+EP6N9Qoh0sWvV5PBwcHqtfrev36tbrd7o96y4qfDt/3B28Fk8mkJiYmlE6nT92ww7U43/fVaDS0s7Oj169fq9Vq8ccdZ7JtW61WS+VyWZ7nKRqNnvi867oaGxtTuVxWt9s9EeVwMtDtdtXtdrWzs6MnT57o5cuXOjg4UD6f189+9jNdvnxZ/X7/neOJRqPKZrNKJBIfvHQhnUOUgyCQ4zjK5/PyPE+5XE79fp8X04gL45tOp5XP5xWLxd65w8X3/cHMZ3p6WtlsVr1e72MPG58Q27YVj8eVzWYlfT9jDTmOo2QyqXg8romJiRM77sLn8DxPtVpNzWZzsHzm+752d3e1t7en2dlZff755+p0Om/t8Du+HYfr3JFI5J1r3ccNNcrhAKPRqPL5vOLxuLrd7mCWhNF1dOdHIpFQPB7/oL3X2WxWlmWp1+vJ9/2PNFp8isIlg3Q6fWYEw52Bx2fRx21tbWlnZ0cbGxuq1Wrqdrva3d3V1taWdnd31e/3lUqlzuXnGHqUwx94bGxMmUyGFxLecvTFcnwmE/5f+GHbtjKZjBKJBDv48F7hpDDs0A8Vbo+tVkurq6t6/Pixnj17pjdv3shxHHmep42NDT18+FAzMzO6du2a0un00H+Ooe/oOzqdZx0ZZwmPrDjreM+jL7BYLHYBI8Sn7LQ/+B/yNZ7nqdFoaG1tTS9evNDBwYEkDY5vPjg40PLysq5evapyuXwuUWahFxeGJS2clx97klKr1dLOzo5WVla0srKiVqs1+JwktdttPXv2TE+ePNHu7u657OcgygDw/xqNhtbX1/Xs2TNVq1V1u93B58LzLzY2NvTixQutr6+r0WgMfQxEGQD03ey6Xq/r0aNHWl1d1d7e3ol9Yv1+X7VaTS9fvlS1WtWbN2+GPg6iDADS4GSle/fuaWNj48QlIizLGqw5b21t6cWLF9rZ2ZHneUMdB1EGMPI8z9Ph4aHW1tb04MEDbW1tnYhtuCOw2+2qXq9rdXVVm5ubg+OZh3WEEFEGMPIODw9VrVb19OnTwVEXp0U2/L/9/X2trq5qbW1NtVpNnU5naGMhygBGXq1W09///nfdv39f7Xb7vY8/ODjQ06dP9fTpU21sbKjZbA7tnAwucg9gpPX7fe3s7OjevXt68eKFIpGIXNeVbduDyw/7vj+4wFB4ctP+/r5evnyplZUVTU9Pq1AoDGU8RBnAyAqCQO12W/V6XWtra2o2myoUCoNLdDabTR0cHKjVaqlQKKhQKKjf76vVaqndbg+WMZaWloY2JqIMYKT1ej1FIhFdvnxZrusql8tpcnJSkUhEKysrevLkidbX13X37l396le/Uq/XG1wBM5/PK51OD2bQw0CUAYy8QqGg3//+92q328rn86pUKvJ9X1999ZVarZZ2d3e1tLSkP/3pTwqCQLVaTevr6wqCQMVicXBt8B9zevdxRBnAyArvEHLp0iVls1n5vq9YLKZUKqV6vT647kp4HZZ4PK58Pq+pqSldvXpVQRAMLsD2Ifft+xBEGcBIi8fjisViKhaLg5srSBqcQn309lC+7yuRSLx1IaL33bPvhyLKAEba8Rnu0TtPH7+AfXjp2aOPH/aFtThOGQBOcVZsz/vqhkQZAH6A877hAlEGAIMQZQAwCFEGAIMQZQAwCFEGAIMQZQAwCFEGAIMQZQAwCFEGAIMQZQAwCFEGAIMQZQAwCFEGAIMQZQAwCFEGAIMQZQA4RRAEp36cN6IMAKcIb/tkWdapt4E6L0QZAE7hOI7i8bhc11UsFlM8Hlc0GpXjOOf6fblxKgCcIhqNanx8XNeuXZPneSqXy3Jdd3Bj1fNClAHgmCAIlEwmtbi4qFwup9/85jeqVCpKpVJEGQAuQiwW09TUlPL5vPr9vlzXleu6LF8AwEVwHEfJZFKJREJBELy14+88EWUAOEV41EWo2+2q1+vJ8zxZliXHcRSJRBSJRIYaa6IMAMccD6zv+2o0GqrX69rf35fneUomkyoUCsrn80M9KoMoA8B7+L6v7e1tPXz4UI8fP1az2dT4+Lju3r2rX/7yl8pkMoNjmf9XRBkAPoBt2+r1elpdXVWtVlO329X8/PzQ15k5eQQA9P1p1b7vy/M89Xo9dToddTod9ft9jY+P6/r160qlUoNjmIvFolKp1GBdeRiYKQMYaUePrJAkz/O0vb2t7e1t1Wo12batXC6nQqEg27Z1eHioIAg0MzOj8fFxRaPRoY6HKAMYaeHM2PM8HR4e6s2bN6pWq6pWq9ra2pLjOJqYmNDExIQODw/VaDSUTCY1OzurUqk09EPkiDKAkWbbtvb29vTs2TP961//0v3791UoFDQ7O6u5uTlZlqVaraa//vWvWllZkW3bWlpaUqVS0djY2PDHM/RnBIBPRL/f1/b2th49eqR//vOf+vbbb7W5uSnHcTQ9Pa3FxUXNzs5Kkh4/fqx79+6pVCppaWlJxWJRkcjw57XMlAGMHN/3FQSB9vf39c033+jLL7/U/fv3NTs7q7/85S+an5/XxMSEEomE1tbWBoe7ZTIZ3b17V7dv31YsFhusRw8TUQYwcsIgr6ys6Ouvv9Z//vMflUolffbZZ/rtb3+rfD4/OGGkWq3q/v37ajQaKpfLmpub08zMzFCPuDiK5QsAIycIAu3t7Wl1dVWPHj1SrVbT7du3dffuXRUKBQVBoN3dXW1uburhw4f68ssv1W63NT8/r6mpKbmuey5LFxIzZQAjyLIsRaNRxWIxWZalN2/e6N69e/J9X69fv1Ymk5FlWfI8T61WS51OR3Nzc1paWlI0GlW73VY8Hj+XmTJRBjByLMtSIpHQxMSEFhYW1G631W63tb6+rmw2q8nJSY2NjSmZTA4es7S0pMXFRcXjcXW73XO7CwlRBjCS0um05ubm9Oc//1mfffaZ3rx5o3Q6rZmZGRWLRaXTaUUiESWTSY2Pj6tUKml2dla5XE6u657bJTyJMoCREy5fjI2NaWFhQdPT09rd3ZXjOMpms0qlUorFYrJtW67rqlgsKhqNKplMKh6Pn9tOPokoAxhBYVDD6MZiMRWLxcHnjt69Op1OK5lMnvq580CUAYwsy7JOHEVx2rHH530LqKOIMgAc0+12Bx+O4yiRSCgSiZz7TVMlogwAbwmCQDs7O9rc3NTr16+Vy+W0uLioTCbzUb4/UQaAI3zf187OjpaXl/X06VNVKhVVKhWlUqmPsozBGX0AcITnearX63r+/Lm+/fZbLS8vq9lsKgiCj/L9iTIASIPoBkGgbrerRqOhWq2m3d1d9Xo9+b7/UcZBlAFAJ+9gHQSBPM+T7/sfLcgSUQaAM53XscjvQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBjBzf9xUEwVCeKwiCoT2XJEWG9kwA8AkII9rtdtVut7W/v69OpyNJSqfTikQi6na7g9AGQaBOp6Pd3V1ZlqX9/X0FQaB0Oq1MJqNkMinbthUEgSzL+p/HR5QBjBTLsmRZlur1upaXl/WPf/xDKysrSqVSun37tu7cuaNmsylJsm1bnufp4OBAy8vLev78ub755hv1+33duXNHX3zxhW7fvq14PD6UIEtEGcCI8n1fzWZTT5480ddffy3btlWtVlWtVrW/v6+VlRXt7OwoEonob3/7m7rdrlZXV/XgwQMlk0nlcjndunVLtm0PLcgSUQYwotLptCYmJpTL5WRZljY3N7W+vq6vvvpKvV5P3W5X3W5X1WpVDx48UCQSkW3b6nQ6mp+fVzabVSaTUSwWG+q4iDKAkZROpzU9Pa3p6WnlcjltbGyo0Wio0WiceGy45hyLxZRKpVQsFlWpVFQoFIY+Lo6+ADCSIpGISqWSrl27psuXLyuVSkn6bh35LNFoVOPj47py5YquXr2qfD4/9HERZQAjJwxvLBbTwsKCfv7znyuTybxzfdiyLLmuq0qlomvXrml6elrpdHr4Yxv6MwLAJ8K2bVUqFS0uLmpmZmYQ5rO4rqvr169rYWFB+Xxe0Wh0+GMa+jMCwCfCsizl83lduXJFt27dUrlcfudMOZVK6ebNm1pcXJTruucyJqIMYGRZlqVoNKrJyUn9+te/1sLCwqlRdhxHiURCxWJRV69eVaVSUTweP5cxEWUAIy0IAuVyOX3xxRe6devWYAYcxjkMd6lU0uXLlzUzM6NUKnUuSxcSUQYw4izLUiaT0fXr13Xz5k3Nzc0pm80OzvyTvjtS49atW/rjH/+ocrl8ruPhOGUAIyEIAnmep16vp3a7Ld/3JX0/Iw6CYLCUsbW1pWazObj+hW3bGh8f19TUlJrNpur1+uBaF2ddjMi2bUUiEbmuq0gk8sFn/RFlACPB933t7+/r5cuXevLkiQ4PD986BM7zPD179ky2bZ9YmgiCQHt7e3r+/LlqtdrgLL7TohzGOpFIqFQq6caNGyoWi4pGox8UZqKMC/Ouyx0O81KIgPRdlHu9nlqtlvb29tRoNN6KpO/7chxHly5dUq1W08HBger1ujKZjBYWFjQ5OakgCE494++oMMqpVEqJRELdbndwqdALi/LR64vy4sJRxzfKd12LNtyIh3ntW/w0HV3/PSt8QRDItm0lEglNTEwolUoNtqtwxlsqlVQqlQbxbjQampqa0h/+8AfNzc190Bl8vu/Ltu3BRYui0ehgO/+QMA81ykEQyPd99ft9NZtNHR4eqtPpyPf9oV5FCZ+ecON3XVfJZFLJZFKO45yIbfjiCmPcaDR0cHAwmG0Ax0UiEcXjcaVSKaVSKTmOc+rjHMdRMpnU1NSUUqmUer3eW9tfGO12u61YLKYgCNTr9XT9+nX97ne/05UrV5RMJt87QQjDG41GlUgklMlkLm5NOfxL0Ol0tL29re3tbe3t7anf7xPlERduqGNjY5qYmFC5XH7nKarhzKVWq2ltbW0QZuA413WVy+VULpeVSCTOjHI4S3ZdV8ViUZJORNlxnMEF7sPHz87O6vbt2yqXy4Njkz9kxnt05v6+WfxRQ41y+A3b7baq1aqWl5e1ubmpbrd75i8KoyF8tzQ5Oanr168rk8kMLgBzmvBODltbW3r48KE2NzfVarXeeQosRo/v+0omk5qZmZFt25qZmTnzsUfj+C7xeFxzc3MqFov6/PPP5bqupqam5LruR+nY0KNsWZZisZjy+bzK5bJc11Wv1+PFNOLCmUU+n1exWJTruu98gYSzlrGxscEMpdPp8I4LbwmCQK7rqlQqKZPJDGX7sCxL2WxW2WxWlUpl8H0+VsOGvqPPtm1ls1n94he/0J07d4Z+U0F82hzHGRyGdNpbwHB7CfeE37x5U/Pz82/tKAFCR/dB2LY9tJns8QMVPuZkYOhRPvoLAt4l3Nfwrg3etu2h39kBeJ8fsgY8bJQTF2JYd/4FfmqIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCjDKJZlXfQQgAtFlHGhjkbYsqzBBzCqIhc9AIw2y7IUj8eVTqfVbrcVi8Vk28wVMLqIMi5MOCseGxvTpUuXFI1GVSgUFI/HCTNGFlHGhQiXKGKxmK5du6Z0Oq3Dw0Mlk0lNTEwoEmHTxGiygiAILnoQAIDv8B4RAAxClAHAIEQZAAxClAHAIEQZAAxClAHAIEQZAAxClAHAIEQZAAxClAHAIEQZAAxClAHAIEQZAAzyfz3K5GTvfCeiAAAAAElFTkSuQmCC)
A capacitor of capacitance
is filled with two dielectrics of dielectric constant 4 and 6. What is the new capacitance?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWUAAAD1CAYAAACIlORMAAAVS0lEQVR4nO3dWXMT2cGH8X93a2mt1uZNRmYxxoaYQDKTyVKpSj5BKp8hnzKVyyQ1VZOZoShCgQMBbBlvYAkvkrV293sxb2uMF2AmMj6Mnl+VL8CyfOxqPT46vVlBEAQCABjBvugBAAC+R5QBwCBEGQAMErnoAQChIAgU7uKwLEuWZV3wiICPjyjjQgVBoF6vp06no16vJ8uylEwmFY1GiTJGElHGhQmCQJ7n6dWrV1pfX9fBwYHS6bRu3LihsbGxix4ecCGIMi5MEATq9/va3NzUgwcPVK/XNTk5qenpaWUyGTmOc9FDBD46dvThQoTrx/1+X1tbW3r48KH+/e9/6/nz59rb21O/37/oIQIXgijjQgVBoG63q2azqWazqVarJc/zxDlNGFVEGRfOcRxFo1FFo1E5jsORFxhpRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADEKUAcAgRBkADBK56AEAwMcSBIEkybKst/59HsLv8UOda5SDIDjXHxqfnh+zoR7dhtiecJpwu7Is60R4Q0EQyPd9+b7/3jaFnzv6XEcfb1nWe7fl8DG2bcu27VPHdJpzi3L4C/A8jxcSBhzHkeM4P/jrPM8bvJiA447G76zw+b6vw8ND7e/vq16vq9frvTfMlmUNtrvwuc+K/vGvi0ajSqVSKhaLSqVSchzn4qIcBIE6nY7a7bba7bY8z/vRU3n8tLiuK9d1FYvF3rtNBEEgz/PUbrfVarXU7/eJMk5lWZYcx1EsFpPruorH4yce4/u+Wq2WXr16pefPn6vZbJ76POE25nneWx1LJBJKJpOKRqODme9pwignEgmVSiXFYjHF4/EPnowMPcpBEKjVamltbU3r6+uq1Wrq9Xrv/CHw0xdu6Pl8XtPT06pUKspkMiced/xt6ObmpqrVql69eqV2u80fd5zJcRyl02nNz89rdnZW0Wj0xPZi27Ycx5Ft24pEIu+c7R4eHuq///2vXrx4odevX6tcLuvGjRuDbfesCUIY5UgkMnhn+EP6N9Qoh0sWvV5PBwcHqtfrev36tbrd7o96y4qfDt/3B28Fk8mkJiYmlE6nT92ww7U43/fVaDS0s7Oj169fq9Vq8ccdZ7JtW61WS+VyWZ7nKRqNnvi867oaGxtTuVxWt9s9EeVwMtDtdtXtdrWzs6MnT57o5cuXOjg4UD6f189+9jNdvnxZ/X7/neOJRqPKZrNKJBIfvHQhnUOUgyCQ4zjK5/PyPE+5XE79fp8X04gL45tOp5XP5xWLxd65w8X3/cHMZ3p6WtlsVr1e72MPG58Q27YVj8eVzWYlfT9jDTmOo2QyqXg8romJiRM77sLn8DxPtVpNzWZzsHzm+752d3e1t7en2dlZff755+p0Om/t8Du+HYfr3JFI5J1r3ccNNcrhAKPRqPL5vOLxuLrd7mCWhNF1dOdHIpFQPB7/oL3X2WxWlmWp1+vJ9/2PNFp8isIlg3Q6fWYEw52Bx2fRx21tbWlnZ0cbGxuq1Wrqdrva3d3V1taWdnd31e/3lUqlzuXnGHqUwx94bGxMmUyGFxLecvTFcnwmE/5f+GHbtjKZjBKJBDv48F7hpDDs0A8Vbo+tVkurq6t6/Pixnj17pjdv3shxHHmep42NDT18+FAzMzO6du2a0un00H+Ooe/oOzqdZx0ZZwmPrDjreM+jL7BYLHYBI8Sn7LQ/+B/yNZ7nqdFoaG1tTS9evNDBwYEkDY5vPjg40PLysq5evapyuXwuUWahFxeGJS2clx97klKr1dLOzo5WVla0srKiVqs1+JwktdttPXv2TE+ePNHu7u657OcgygDw/xqNhtbX1/Xs2TNVq1V1u93B58LzLzY2NvTixQutr6+r0WgMfQxEGQD03ey6Xq/r0aNHWl1d1d7e3ol9Yv1+X7VaTS9fvlS1WtWbN2+GPg6iDADS4GSle/fuaWNj48QlIizLGqw5b21t6cWLF9rZ2ZHneUMdB1EGMPI8z9Ph4aHW1tb04MEDbW1tnYhtuCOw2+2qXq9rdXVVm5ubg+OZh3WEEFEGMPIODw9VrVb19OnTwVEXp0U2/L/9/X2trq5qbW1NtVpNnU5naGMhygBGXq1W09///nfdv39f7Xb7vY8/ODjQ06dP9fTpU21sbKjZbA7tnAwucg9gpPX7fe3s7OjevXt68eKFIpGIXNeVbduDyw/7vj+4wFB4ctP+/r5evnyplZUVTU9Pq1AoDGU8RBnAyAqCQO12W/V6XWtra2o2myoUCoNLdDabTR0cHKjVaqlQKKhQKKjf76vVaqndbg+WMZaWloY2JqIMYKT1ej1FIhFdvnxZrusql8tpcnJSkUhEKysrevLkidbX13X37l396le/Uq/XG1wBM5/PK51OD2bQw0CUAYy8QqGg3//+92q328rn86pUKvJ9X1999ZVarZZ2d3e1tLSkP/3pTwqCQLVaTevr6wqCQMVicXBt8B9zevdxRBnAyArvEHLp0iVls1n5vq9YLKZUKqV6vT647kp4HZZ4PK58Pq+pqSldvXpVQRAMLsD2Ifft+xBEGcBIi8fjisViKhaLg5srSBqcQn309lC+7yuRSLx1IaL33bPvhyLKAEba8Rnu0TtPH7+AfXjp2aOPH/aFtThOGQBOcVZsz/vqhkQZAH6A877hAlEGAIMQZQAwCFEGAIMQZQAwCFEGAIMQZQAwCFEGAIMQZQAwCFEGAIMQZQAwCFEGAIMQZQAwCFEGAIMQZQAwCFEGAIMQZQA4RRAEp36cN6IMAKcIb/tkWdapt4E6L0QZAE7hOI7i8bhc11UsFlM8Hlc0GpXjOOf6fblxKgCcIhqNanx8XNeuXZPneSqXy3Jdd3Bj1fNClAHgmCAIlEwmtbi4qFwup9/85jeqVCpKpVJEGQAuQiwW09TUlPL5vPr9vlzXleu6LF8AwEVwHEfJZFKJREJBELy14+88EWUAOEV41EWo2+2q1+vJ8zxZliXHcRSJRBSJRIYaa6IMAMccD6zv+2o0GqrX69rf35fneUomkyoUCsrn80M9KoMoA8B7+L6v7e1tPXz4UI8fP1az2dT4+Lju3r2rX/7yl8pkMoNjmf9XRBkAPoBt2+r1elpdXVWtVlO329X8/PzQ15k5eQQA9P1p1b7vy/M89Xo9dToddTod9ft9jY+P6/r160qlUoNjmIvFolKp1GBdeRiYKQMYaUePrJAkz/O0vb2t7e1t1Wo12batXC6nQqEg27Z1eHioIAg0MzOj8fFxRaPRoY6HKAMYaeHM2PM8HR4e6s2bN6pWq6pWq9ra2pLjOJqYmNDExIQODw/VaDSUTCY1OzurUqk09EPkiDKAkWbbtvb29vTs2TP961//0v3791UoFDQ7O6u5uTlZlqVaraa//vWvWllZkW3bWlpaUqVS0djY2PDHM/RnBIBPRL/f1/b2th49eqR//vOf+vbbb7W5uSnHcTQ9Pa3FxUXNzs5Kkh4/fqx79+6pVCppaWlJxWJRkcjw57XMlAGMHN/3FQSB9vf39c033+jLL7/U/fv3NTs7q7/85S+an5/XxMSEEomE1tbWBoe7ZTIZ3b17V7dv31YsFhusRw8TUQYwcsIgr6ys6Ouvv9Z//vMflUolffbZZ/rtb3+rfD4/OGGkWq3q/v37ajQaKpfLmpub08zMzFCPuDiK5QsAIycIAu3t7Wl1dVWPHj1SrVbT7du3dffuXRUKBQVBoN3dXW1uburhw4f68ssv1W63NT8/r6mpKbmuey5LFxIzZQAjyLIsRaNRxWIxWZalN2/e6N69e/J9X69fv1Ymk5FlWfI8T61WS51OR3Nzc1paWlI0GlW73VY8Hj+XmTJRBjByLMtSIpHQxMSEFhYW1G631W63tb6+rmw2q8nJSY2NjSmZTA4es7S0pMXFRcXjcXW73XO7CwlRBjCS0um05ubm9Oc//1mfffaZ3rx5o3Q6rZmZGRWLRaXTaUUiESWTSY2Pj6tUKml2dla5XE6u657bJTyJMoCREy5fjI2NaWFhQdPT09rd3ZXjOMpms0qlUorFYrJtW67rqlgsKhqNKplMKh6Pn9tOPokoAxhBYVDD6MZiMRWLxcHnjt69Op1OK5lMnvq580CUAYwsy7JOHEVx2rHH530LqKOIMgAc0+12Bx+O4yiRSCgSiZz7TVMlogwAbwmCQDs7O9rc3NTr16+Vy+W0uLioTCbzUb4/UQaAI3zf187OjpaXl/X06VNVKhVVKhWlUqmPsozBGX0AcITnearX63r+/Lm+/fZbLS8vq9lsKgiCj/L9iTIASIPoBkGgbrerRqOhWq2m3d1d9Xo9+b7/UcZBlAFAJ+9gHQSBPM+T7/sfLcgSUQaAM53XscjvQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBwCBEGQAMQpQBjBzf9xUEwVCeKwiCoT2XJEWG9kwA8AkII9rtdtVut7W/v69OpyNJSqfTikQi6na7g9AGQaBOp6Pd3V1ZlqX9/X0FQaB0Oq1MJqNkMinbthUEgSzL+p/HR5QBjBTLsmRZlur1upaXl/WPf/xDKysrSqVSun37tu7cuaNmsylJsm1bnufp4OBAy8vLev78ub755hv1+33duXNHX3zxhW7fvq14PD6UIEtEGcCI8n1fzWZTT5480ddffy3btlWtVlWtVrW/v6+VlRXt7OwoEonob3/7m7rdrlZXV/XgwQMlk0nlcjndunVLtm0PLcgSUQYwotLptCYmJpTL5WRZljY3N7W+vq6vvvpKvV5P3W5X3W5X1WpVDx48UCQSkW3b6nQ6mp+fVzabVSaTUSwWG+q4iDKAkZROpzU9Pa3p6WnlcjltbGyo0Wio0WiceGy45hyLxZRKpVQsFlWpVFQoFIY+Lo6+ADCSIpGISqWSrl27psuXLyuVSkn6bh35LNFoVOPj47py5YquXr2qfD4/9HERZQAjJwxvLBbTwsKCfv7znyuTybxzfdiyLLmuq0qlomvXrml6elrpdHr4Yxv6MwLAJ8K2bVUqFS0uLmpmZmYQ5rO4rqvr169rYWFB+Xxe0Wh0+GMa+jMCwCfCsizl83lduXJFt27dUrlcfudMOZVK6ebNm1pcXJTruucyJqIMYGRZlqVoNKrJyUn9+te/1sLCwqlRdhxHiURCxWJRV69eVaVSUTweP5cxEWUAIy0IAuVyOX3xxRe6devWYAYcxjkMd6lU0uXLlzUzM6NUKnUuSxcSUQYw4izLUiaT0fXr13Xz5k3Nzc0pm80OzvyTvjtS49atW/rjH/+ocrl8ruPhOGUAIyEIAnmep16vp3a7Ld/3JX0/Iw6CYLCUsbW1pWazObj+hW3bGh8f19TUlJrNpur1+uBaF2ddjMi2bUUiEbmuq0gk8sFn/RFlACPB933t7+/r5cuXevLkiQ4PD986BM7zPD179ky2bZ9YmgiCQHt7e3r+/LlqtdrgLL7TohzGOpFIqFQq6caNGyoWi4pGox8UZqKMC/Ouyx0O81KIgPRdlHu9nlqtlvb29tRoNN6KpO/7chxHly5dUq1W08HBger1ujKZjBYWFjQ5OakgCE494++oMMqpVEqJRELdbndwqdALi/LR64vy4sJRxzfKd12LNtyIh3ntW/w0HV3/PSt8QRDItm0lEglNTEwolUoNtqtwxlsqlVQqlQbxbjQampqa0h/+8AfNzc190Bl8vu/Ltu3BRYui0ehgO/+QMA81ykEQyPd99ft9NZtNHR4eqtPpyPf9oV5FCZ+ecON3XVfJZFLJZFKO45yIbfjiCmPcaDR0cHAwmG0Ax0UiEcXjcaVSKaVSKTmOc+rjHMdRMpnU1NSUUqmUer3eW9tfGO12u61YLKYgCNTr9XT9+nX97ne/05UrV5RMJt87QQjDG41GlUgklMlkLm5NOfxL0Ol0tL29re3tbe3t7anf7xPlERduqGNjY5qYmFC5XH7nKarhzKVWq2ltbW0QZuA413WVy+VULpeVSCTOjHI4S3ZdV8ViUZJORNlxnMEF7sPHz87O6vbt2yqXy4Njkz9kxnt05v6+WfxRQ41y+A3b7baq1aqWl5e1ubmpbrd75i8KoyF8tzQ5Oanr168rk8kMLgBzmvBODltbW3r48KE2NzfVarXeeQosRo/v+0omk5qZmZFt25qZmTnzsUfj+C7xeFxzc3MqFov6/PPP5bqupqam5LruR+nY0KNsWZZisZjy+bzK5bJc11Wv1+PFNOLCmUU+n1exWJTruu98gYSzlrGxscEMpdPp8I4LbwmCQK7rqlQqKZPJDGX7sCxL2WxW2WxWlUpl8H0+VsOGvqPPtm1ls1n94he/0J07d4Z+U0F82hzHGRyGdNpbwHB7CfeE37x5U/Pz82/tKAFCR/dB2LY9tJns8QMVPuZkYOhRPvoLAt4l3Nfwrg3etu2h39kBeJ8fsgY8bJQTF2JYd/4FfmqIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCgDgEGIMgAYhCjDKJZlXfQQgAtFlHGhjkbYsqzBBzCqIhc9AIw2y7IUj8eVTqfVbrcVi8Vk28wVMLqIMi5MOCseGxvTpUuXFI1GVSgUFI/HCTNGFlHGhQiXKGKxmK5du6Z0Oq3Dw0Mlk0lNTEwoEmHTxGiygiAILnoQAIDv8B4RAAxClAHAIEQZAAxClAHAIEQZAAxClAHAIEQZAAxClAHAIEQZAAxClAHAIEQZAAxClAHAIEQZAAzyfz3K5GTvfCeiAAAAAElFTkSuQmCC)
physics-General
physics-
The equivalent capacitance of the combination shown in figure below is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbsAAADICAYAAABxqE/FAAAei0lEQVR4nO3d2W8b1xkF8DOcnfsiUqtlbY6SGI3SIC0CBH1K+9D/tg/ta4ECjdGiQePEabzE8qJYGylKoiiSQ87Wh+BORrJoyTbJIYfnBxiOHUoajjlz5m7flXzf90FERBRjiagPgIiIaNgYdkREFHsMOyIiij2GHRERxR7DjoiIYo9hR0REscewIyKi2GPYERFR7DHsiIgo9hh2REQUeww7IiKKPYYdERHFHsOOiIhij2FHRESxx7AjIqLYY9gREVHsMeyIiCj2GHZERBR7DDsiIoo9hh0REcUew46IiGKPYUdERLHHsCMiothj2BERUewx7IiIKPYYdkREFHsMOyIiij2GHRERxR7DjoiIYo9hR0REsadEfQA0/nzfh+/7kCQp+DMAJBKvPyuJ/wcAnucBAGRZHsFREhH1x7Cja3meB8dx4DgOfN+HLMtQFAWSJAUBKPi+j2azCcuyYJomDMNAIpF47XVERKPEbky6kV6vh52dHWxvb6PRaMC27QutuLBvv/0Wf/vb37C/vz/ioyQiuhrDjq7l+z56vR6Ojo5weHiIVqsFx3H6vv7Fixe4f/8+jo+Pg65MIqIoMezoWqIb03VduK6LXq8XdGle5vs+HMdBr9eDZVmwbTuCIyYiuohjdnQtMcHE9314nhdMWLmK7/tBIHa7XViWBVmWIcsyW3kxI8ZhE4kEEokEZFm+cmxWfF7EZ8d13b6fnziTJCk4TxzHHj2G3YDE8eIVF2O4FScmpbzpQvU8D91uF41GA7VaDc1mE4lEIpbnaNqJoNN1HblcDqqqwnVdeJ4HSZKCByXbttHpdNDpdGDbNlzXnaqbve/7QdCZpol0Og1VVRl6I8Swew+iBVOr1XB0dATLsuB53pVT8idZKpWCqqro9XrXvtb3fdi2jVqthnv37mFnZweGYbBlF1OitVKpVPD73/8ehUIBZ2dnqNVq6Ha7WFtbg2maOD4+xvb2Nra3t2FZ1tQ8+EiSFFwTAGAYBm7duoUPP/wQlUoF6XSaYTciDLv34Louzs/P8fTpU/zwww9oNpvwPA+apsWiJSOOf2VlBbdu3YJt2zcKctd10el0UK1W4fs+TNOMxfmgi8TaS0mS4HkeLMtCu93GwcEBHj58iFarhVwuh9nZWbRaLRwdHWF3dxedTido+U0Ly7JgWRY6nQ5qtRoymQxSqRSSyWTsHo7HFcPuPTiOg/Pzc/z000/4+uuvg+66dDoNWZYn9uYujjt8MysWi3Bd98YXZjqdxqeffooPPvgg6K6Z1PNBbybLMvL5PIrFItrtNg4PD7G9vY3z83NsbW2hXC7DNE1sbGygVCrBsqyp6cYULbtut4vd3V3cu3cPBwcHODk5QafT4TUxQgy79yAG2zudDizLQrlcxuzsLEqlElRVnfhuOzHOsLKygmw2e6OZlZIkQVVV5HI5rK6u4u7du9B1nWEXQ+JhSIzZZbNZdDoddLtdnJ+f4/z8HLZtQ5ZlpNNppFIpzM3NwbbtqWnZibBrt9tQFAX//e9/4bpuMG7Ja2J0GHbvKZFIwDRNLC4u4g9/+AM+//xzLC4uQtd1uK4b9eG9s3B5MNu20Wg00Gq1YFnWG79OkqTgxlcsFlGpVJBKpaAoysSHP/UnJlooinLhVyKRgKZpSCaTF2b1TotEIgHP89BoNHB0dIRCoRA8EE5D2I8Tht07Cs9OBBDMsspms0gmk8HfxYGqqmi1WjfuwhRP+4qiQFVVqKoKID7ng/q76gYuPg/TOjYlyzJUVQ3Cn6LBM/+eROh5nhcspH5TdZFJ1Ov1gjVSN3V5bRVNrzety5wWnucFPRs3Wb5Dg8ewIyIakXCvB9fYjRbDjohoyMLbYoldQ9ilOVo820REIyC6LkX5PLbsRothR0Q0YhyzGz2GHRFRBKZ90s6oMezoRsSMuvCvfjzPC4oBExGNA4YdXSs8g0wMrL9pcF1VVZimyYWzRDQ2uKicrnW5CobYxaDfAmJR/FdUTiEicN1pxHgnomslEgkYhoH5+Xk4joNcLgdd1/uG3ebmJgqFAubn56EoClt3NPVE0IV3DuF1MVoMO7pWuP7ndSRJwt27d3H37t0RHBnR5BD7X7IoejQ4ZkdENGTh8nnhiVsMvdFh2BERjUB4FjPrY44ew46IaAREsDHoosGwIyIaEdbGjA7PNhHRiIT3eWTYjRbPNhHRiLEI9Ogx7IiIRozjdqPHsCMiothj2BERjRjX140ew46IiGKPYUdENEIcp4sGw46IaMhuuhckDQ/DjohoyFzXhW3b3OInQgw7IqIhcxwHjuPAdd2oD2VqMeyIiIZMtOzYqosOw46IaMguj9WxgsroMeyIiIYsXC1FFINm2I0Ww46IaETChaBlWY76cKYKw46IaMhEF2YikQhadtz1YLR4tomIIsDJKqPFsCMiGjEG3egx7IiIKPYYdkREFHsMOyKiEWH3ZXQYdkREQxZeZ8fAiwbDjohoyHzfZxHoiDHsiIiGzHVdOI7DwIsQw46IaMgcxwm2+AF+7dZkybDRYdgREQ2ZCDvf9yFJEiuoRIBnm4hoBMJBpygKw27EeLaJiEZEhB1bdqPHs01ENEKSJHE/uwgw7IiIRoxBN3oMOyKiEePyg9Fj2BHRUHGKPY0Dhh0RDcxVLRbf99mSocgpUR8AEU0eEV7id9F6E8EmymOJiiHivy8Lf53489v8/PD3EX8vpvizNUlhDDsiujHf92HbNtrtNnq93oWKIIqioF6vo9FooNlsotls4uTkBLVaDYqiQJbl14ohy7IMVVWh6zpUVb3wmjcdw/n5Oc7Pz9Fut+E4TjDDUVVVGIYRTOvPZDIwDGOIZ+TmGL7RYtgR0Y2IVlOn08He3h6azSZc1w1aUoqioFaroVqt4uzsDM1mE7u7u8hkMsHasvD3AgBVVZFOpzEzM4NcLnfhNf2OQfz83d1dVKtVWJYFANA0Del0GsViMQi7tbU1zM3NDemM0CRh2BHRW3FdF61W67WwSyQS6PV6SKVSWFlZgW3bMAwDrVarb4tNURT4vo98Pt93kbUIWdd1sbOzg+3tbdTrddi2DdM0USgUgook3W4Xjx8/BgCUSiUsLCwM9VzQ5GDYEdGNiVBTFAWapl3oxgSAbDYLXdeD1pRpmlBV9bWxufD3ClcUuRyIIuS63S5OT09x//593L9/H4ZhYGFhAYuLiyiVSsGx7O3t4fHjx3AcB6lUamwmxoTHLwFwUXkEGHbviB9UmjYirJLJJJaXl1+r4g/8um9b+GsuTxYJB5AIzlQq1feacl0XBwcHuH//Pr755htUq1V8+eWX+O1vf4uFhQWk0+kLVUkqlQq63S7y+Tw0TRvGqXhrtm3Dsix4nhcEPMuFjRbD7h2NyxMj0ShJkgRVVVEsFq9cUiAC6/LsyDd9vzc9OHqeh2azie3tbdy7dw+NRgMLCwvY2NjA6uoqMpnMhdAolUpYWlpCt9tFpVIZm8kp4V0PRMAnEgneR0ZoaGEn+vHDfwbi1SIKX6jcn4qmxeVAu8lr35XruqhWq/jf//6Hf//73/jd736HP//5z9jY2EAymXzt+2uahsXFRXieh2KxiGQy+V4/fxhE2PFeMVoDDzvRx27bNprNJk5PT6FpGjKZDHRdh6ZpY9O18D5EsMmyDE3TgvfGDzHR4PR6PRwdHaFWq8GyLBSLRayvr6NQKEBV1dder2ka5ubm4HkeDMO48jVRuNzC5T1i9AYadp7nodfrod1u4+zsDHt7e9jZ2UEqlUKlUkE6nUY+n8fMzAx0XR/kjx450R2haRqy2SxmZmaQyWTG5uIiigPbtnF6ehqMwZVKJWSz2b7XmSzLyOfzwWSQcRkXe9O4ZVyNW2/ewMJOLDat1+vY2dnBw4cPUavV4LpusOhTURTcvn0bX375JSqVSrDQdFJJkgTTNLG5uYlyuYz5+XlomjY2/7hEw3C5eko/V10H/cb4+v1Z3FckSUI+n0c6nYaiXH3bCs90FONh43QtxnmoIzzTVMw8FROVxH0+6gePgYWd67o4Pz/H3t4enjx5gkePHqHX62F2dhadTgfVahUnJyc4ODhApVKB67rBB3cS//HFrDPXdVEsFlEsFoNuk0l8P0Q35bouer0eXNd94+tu8mQfrnzSby1eeKbl5dmeItAulyQTMx7Hha7rSKfTyGazME0zOLa43Cs8z4NlWWg0Gmi1Wuh2u7AsC7IsY25uDoVCAbquRxp4Awu7breLer2OFy9eYG9vD6ZpYmlpCWtra2g2m3j69Cmq1SqeP3+O+/fvo9VqoVKpBC2hSWzWi6eZZDKJbDYbjOERxZG4Rnu9Hur1OizLurKlFq6Pefn/hX8HEAwF5PN5pFKp136mLMswDAOe5wUPzN1u98JNU/xM13WDX6qqwjTNgb3395XJZDA/P4/j42NUKpWgG3bcWp/vQjxonJyc4P79+3j58iUajQbq9ToMw8BXX32Fu3fvIpvNXijlNmoDDbujoyPs7+/j5OQE5XIZc3NzmJmZgaqqyGQy8H0f9XodP/zwA46Pj1EqlSa6ZScuLEVRUCwWsbW1hdXVVbbuKLZ834dlWTg8PMTZ2dmVxZ2BXx4EHcdBp9OB4zgXJnKFF1QrioJkMhmE0+XF1qqqolKpYH5+HqlUCi9fvsQ//vEPLC0tBevoPM9Dt9uF53lQFOWNXZ1RKZVK+PDDD1EoFFAoFIIgjsN9QpIkVKtVfP/99/jPf/6DZ8+e4eTkBCcnJ1BVFe12G69evcInn3yClZUVFAqFSI5zYJ8IMfuy0Wig3W5D13Xoug7bttHr9eA4DnzfR6/XQ7VaRbvdxs7OzsRWEhBjCZZl4eTkBMlkErIso1wuI5VKRd4/TTQsYtLI8fHxhXJhYa7rot1uY39/P7gfFAoFFIvFCw+Dqqoil8uhXC5f2buj6zpu3bqFjz76CK9evUKtVsNf//pXfPrpp1hfX0cmkwkKU0uShFwuF2nroZ9MJoN0Oo3l5eWJvN9d5/Hjx7h37x4eP36MarWKTqcDy7LQ6/Xwl7/8BQ8fPkS320UymZz8sEsmkyiXy5BlGQcHB2i32zg8PMTi4iJarRZevHiBarWKdDqNP/7xj5idnQUw2U823W4XjUYDDx48wPHxcTCGRxRnyWQSq6urwdg78Pp17DgO6vU6arVaUC+zXC5jbW3tQhgpigLDMJDL5a4MqEQigUwmg83NTciyjL29PZyfn8M0TTSbTTiOg3Q6jXK5DMMwkE6nkUqlxm444eXLl/j5559xdHSEdrsdPCRMOkmSgpqlp6enqFQqWF1dRT6fR6fTwf7+Ph48eADLsrC/v4/T09PIjnVgYWeaJubm5lAul6FpGvb29nBycoJGoxGM57mui6WlJXz11VdYW1sLZmlO6j96p9NBrVaD7/t4+PAhdF2f2PdCdB0RaKlUCsvLy8GY9VUtO8dxsLu7i0ePHuHs7AzpdBrz8/O4c+dOEEZiaYDo3blqpqIkScFC8XK5jNPTU9TrdZycnKDX60FRFORyuaCbU9O04HuOE9HN9+TJk0hv+IMU3rfQdV0kk0ksLS1hY2MDa2traLVa+Omnn4Levl6vB9u2IzvegYWdJElIJpP4zW9+A9/38f3336NaraJarcJ1XSQSCWxubmJrawuVSgWZTKZvf/8kEBfq2dnZ2D1FEg2LCKR+pa7Ew2u4JFa44LPYu06EnfiaNxGFolVVDcb/5+bm4LpusPxHjPuJkBu3HiNxzK1WC+l0OurDGRhJkuA4Dn7++WccHx8jm83i7OwMp6en6HQ6wcxMWZZRKBQirWgzsLBLJBIwTTPopsjn83j16hXOzs7gum6wFccHH3yATCYTfM0kSyQSwTpCx3EmOryJ3la/QAkvFQj/XTgo3/T1/X6OLMswTRO6rgcT3sLfc9wCLqxYLGJjYyPo3otLD5CiKLBtG//617/w6NEj7O/vo9vtolarBeuu2+02KpUKFhcXIxuvAwbcstM0DTMzM8jn80EzVoRdIpEI+tQnvXoK8EvLznEcWJaFTqeDXq8Xi2nERIPwppv5+14n49hNeR2xtGJ9fT1o9caBqqrBjvUnJyd49OgRnj59GiytkGUZiqJgfn4eGxsbmJmZiexYB3rGxVOWqH+ZyWSC0j1iDdrlHYsnWXgha7iCANG0u7zWLq6VQ27q+PgY1WoVp6enmJ2dxebmZtSHNDCapmFrawsAMDc3h6dPn+Lw8BDn5+dIpVL47LPP8MUXX+DWrVvx6MbsJ9yKe5tq6ZMkbu+HaBDEWlTf9/tuzjotDg4O8O233+Lp06f4+OOPsb6+HpvWHQCsrKxgZmYGt2/fxo8//oiHDx8Gs+//9Kc/YWtrC7lcLtKGzlDP9rQ/zRFNM7Gu1nEcaJo21cUW2u02jo+PUavV0Gw2Y9kLJDb1TafTWF9fR7PZhCzLWF9fRzqdjrxHLz6PFkQ0VkThBVHZZFKrJQ2CKEAhxvfjSCzqT6fTWFxcDDarHZetzxh2RDQU4XG7ae/luW7H9jgQ8zJEYW8xhDUu//YMOyIaunG42UWtX4HsuBnXuRmTNX+XiGhCjWsITAuGHRENXLiUFJcf0Dhg2BHRUIiaieGlBwBbNhQNhh0RDZwIOrG1l67rFzYsJRo1hh0RDVy4Gj7wSw1FWZanuiuTIR8thh0RDUV45qHY9WBag46ix7AjIhqycPCzhRcNhh0Rjcy0tuxEly63AYsOw46IBi7cimFL5ped20XpNJ6PaDDsiGgo+k1QmUZiwk6ctjibNAw7Ihq4y0sPDMOApmlRH1akZFmGruvQNG1qQz9KDDsiGop+i8qnVbhQMo0ezzoRDVy/ncqntUUzre97nDDsiIgo9hh2RDQ0nHlI44L72RHRUFzVjZlIJNilR5Fgy46IBk5Mtb+qEDRRFBh2RDRwIuhs2wYALj2gyDHsiGgowjMyp302JkWPYUdEQ8MJKr8I18bkOYkGw46Ihka05Kb9Bt/r9dDtdoNF9tN+PqLAsCOigRM3c9GSEbMwp7EbMzxZh7seRIdhR0RD4XlecHMXBZCnMeyEaQ37ccGwI6KBu1wImksPfgk7TdNYCDoiXFRORAMX7roDAFVVp74AciKRgKZpUBTedqMw3Z8+Ihqay8WgpxkryESPYUdENAIMuWgx7IiIKPYYdkREFHsMOyIaODFWl0gkpn5iCo0HfgqJaODEpBQRdtM8XjXN732cMOyIaODCBaCnvWUXnpXKmanRme5PIRENBVszF7muC9u2WQg6Qgw7Ihoq3twRVJNhbczocCk/EQ0VW3m/tuwkSWL4R4QtOyIaOHFDZ9DRuGDYEdFQcILKRdytPVrsxiSigRPb+3Cd3S9E6CuKwkLQEeGnkIiGii2ZXyQSCaiqClmWoz6UqcSwIyIaMtF9KTaxpdFj2L0n8dTKp1ciehOO2UWLncfvIfzhjeMHOFzx4U3v8fJU6jieCyKabAy79xDulohb/T/P89DtdtHpdKAoCkzThKIor71Hz/OCBbO+7wfnQ5blWJ0PejssjUXjhmH3jsTsKk3ToOs6VFVFIpGIzQXu+z4ajQZevHiBbDaLxcVFpFKp12aSeZ6HTqeDer0OAEilUkin0zAMg2E3xcK1Mfk5oHHAsHsPsizDMAyYpgnDMGIzxdr3fXieh6OjI3zzzTdYXFxENpuFaZqvvdZ1XTSbTTx79gy+72NhYSE4LzS9wlv8sJX/6zXFFm90GHbvKPzUGrcuTMG2bbRaLViW9cYCtq7rotvtwvO8oP4fL2hiy+5Xtm2j1+tB13VeGxGJR1MkInHfukOsC7pqrC5MjF0qihIEP29wFOfJW2/Ltm10u124rhvLe8UkYNi9h/BFHKeZmW/7XsKt2zi3dInehbgW4vpQPCnYjfmOwjfzcOtOlEmSZXkiP9iSJAXv4aZjDL7vw3XdCzMzXdcNQm8SzwO9vZs+HE3DTT+8/jbu73VSMOwGwPd9OI4T9MtblhUEwKQRYec4DrrdLmzbhuu6fbtfXNcN3rPruuh0Omi329A0jZUipoho0YtZyVft2yY+V3Ef1xXnIpFIwDCMG61VpeFj2L0j0YpzHAeWZeH09BTb29tQVRWvXr2CqqoTuVGjCDvXdfH8+XO8fPkSpmmi1WrBtu0Lsyx938fh4SEePXqEBw8eoNPpYGdnB/l8Hul0OjazU+l6qqoilUphfn4eCwsLwbrLcLd2o9HA7u4uDg4OcHZ2dmF5QhyI9yLLMlKpFEqlElZXV5HJZILXsDB2dBh27yHcddlut/HkyROcnJwgl8tNbDem4LouDg8Psb29jUKhgGazCdu2L7zG933s7+/jhx9+wPfff4/T01Ok02mYpgld12NzE6PrmaaJcrmMTz75BNls9kKRAdHaOz09xaNHj/Ddd99hb29voq+Pq4iwU1UVMzMz2NzcRDKZRCqVgmmayOVyyOfzSKVSvDYiwLB7D5qmIZvNYnl5GZubm3AcB5qmTfQEDTHGEB5rkGX5ym5JSZKQyWQwOzuLxcVF5PN55PN5ZDIZJJPJoNsmbjc1ukiSpOBaqFQqMAwDlmUFnxsRdiIQ19bWkM/noz7soRAt2Vwuh/n5eZimiUQiga2tLRSLRRiGgaWlJbbuIsCwe0eSJEFRFGSzWWxsbMDzPJyfn8P3/aBVM4k3eXHcjuNAkiScnp4ik8nAMIzXqqdIkoRisYjV1VW0Wi30ej1UKhUUi0Vks1lOUJkisixD13UUi0Ukk0l0u92g8k6pVIKiKNB1HcvLy8hms7AsK+pDHhpJkqDrOrLZbHAd3LlzB7dv3waAa5fy0HAw7N5DIpGArutYWVlBsVhEr9cLZmJO6k0+HHblchndbhelUgm6rl/5NCpadrVaDZ7nYWFhAZVKBfl8nk+vUyK85ESUz8tkMlheXobv+0G3tq7rqFQqKBQKcBwn6sMemvC6U1VVg65NVVVjNUY5aRh270F8qHO5HLLZbCwWjIbDrtVqoVAoIJlM9n0a1TQNyWQS6XQanuchm80in8+jUChMdHcuvb3wdHvRZZlMJoNWX3iX7km/Tq4THg4Qfw7/TqPHsHtP4enEcWjJiIs0kUhAUZRrd3UILz4XrxEzzrj0YHqJyjtiJuLlz8403PSn4T1OEobdAMXlw/0uFVTCT7JcT0RAfK4HiofJb4rQwL1tzc/Lr5uGChlENFkYdvRGbxtcDDkiGkcMO7pSeBzuurHIcLclB+KJaBxxzI5eI8JLrI1SVbXvBpwiEMUkFvE7EdE4YdhRX6lUCrdu3cLMzEzfdXZiAe3MzAx830cqlYKqqhEcLRFRfww7upIoBbaxsYFkMgnDMPq27HRdx+zsLADAMAyGHRGNHcnnjAK6gu/76PV66HQ6UBTlynJhgtgGSGzxwvE6Iho3DDvqKzwTUwSY67qwbRvdbhfdbvfCVi66rsMwjKCSTDKZZPgR0Vhg2NGNeJ4H27bRaDSwt7eH/f191Ov1oGQa8EudzGKxiG63C1mWcefOHZTLZVZSIaLIccyObqTb7WJ3dxfPnz/H06dPYds20ul0MCHF8zzUajU8e/YMkiShUqlgaWkJnuexRiYRRY5hR9fqdDo4ODjAd999h4cPH2J/fx8rKyvY2tpCqVSCqqqwbRsPHjzAN998ExSDjkNhbCKKB4YdXevZs2f45z//iR9//BEA8Pnnn+Ojjz7C7du3g12Xe70ems0m6vU6DMMINvFki46IxgHDjq4kJp24rosnT57g66+/RrPZxMcff4wvvvgCd+7cuTA703VdLC4uotvtQlEUlEqlIAgZeEQUNYYdXcn3fbRaLdRqNTx//hz1eh2bm5v47LPPUC6Xr1yGYBgGCoUCUqkUisUiTNNkNRUiGgsMO7qS7/s4Pz/Hzs4ODg8P4boubt26hY2NDaRSqeA1lzfsnJmZCTZz7VdijIho1Bh21Fe73cbu7i7Oz8+RTqdRLpeDCSnA68WeTdMMyoqJGZgMOyIaBww7eo1YTC4mnSQSCZRKJeTz+b5dk2K9XXhNHYOOiMYFw476EqGnKErQSvM878rlBL7vw/M8eJ7HnQ+IaOzwjkR9aZqGTCaDdruNZ8+e4eDgAO12+8qKKI7joN1uo9FowLKsCI6WiKg/tuzoNaIVl06nsby8jEqlgv39fezs7ODHH3+ELMvI5/PwfR+u66LX6wUBp2laxEdPRPQ6hh1dSZIk5PN5fPTRRzg7O4Pnedjb28Pf//53nJ2dYWFhAaZpotPpwLIs+L6PSqWC9fV1GIYR9eETEV3AsKMrSZIETdNQKBTw4YcfwvM8bG9vo9Vq4fj4GK7rIp1OB7uZp1Ip5HI56LrOws9ENHa46wFdy7IsnJycoFqt4vDwEPV6Ha7rIplMolQqoVKpYGZmBplMBrqucxYmEY0dhh1dy/d9OI4Dy7JgWRY6nU4w69IwDBiGAV3XuXcdEY0thh0REcXe/wH2Nlt+pdHD9wAAAABJRU5ErkJggg==)
The equivalent capacitance of the combination shown in figure below is
![](data:image/png;base64,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)
physics-General
physics-
The equivalent capacitance between the points
in the following circuit is
![](data:image/png;base64,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)
The equivalent capacitance between the points
in the following circuit is
![](data:image/png;base64,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)
physics-General
physics-
A network of six identical capacitors, each of value
, is made as shown in the figure.
The equivalent capacitance between the points
is
![](data:image/png;base64,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)
A network of six identical capacitors, each of value
, is made as shown in the figure.
The equivalent capacitance between the points
is
![](data:image/png;base64,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)
physics-General
physics-
Two parallel plates of area
are separated by two different dielectric as shown in figure. The net capacitance is
![](data:image/png;base64,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)
Two parallel plates of area
are separated by two different dielectric as shown in figure. The net capacitance is
![](data:image/png;base64,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)
physics-General
Maths-
Solution of differential equation xdy – ydx = 0 represents
Solution of differential equation xdy – ydx = 0 represents
Maths-General
physics-
If a cooling curve is drawn taking t(s) along X-axis and temperature (q) along Y-axis, it appears as
If a cooling curve is drawn taking t(s) along X-axis and temperature (q) along Y-axis, it appears as
physics-General
physics-
A lead shot of diameter 1mm falls through a long column of glycerine The variation of the velocity ‘v’ with distance covered (s) is represented by
A lead shot of diameter 1mm falls through a long column of glycerine The variation of the velocity ‘v’ with distance covered (s) is represented by
physics-General