Physics-
General
Easy
Question
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
F
F
F
F
The correct answer is:
F
The arrangement shows a Wheatstone bridge.
As
therefore the bridge is balanced.
![fraction numerator 1 over denominator C subscript s subscript 1 end subscript end subscript end fraction equals fraction numerator 1 over denominator 4 end fraction plus fraction numerator 1 over denominator 4 end fraction equals fraction numerator 2 over denominator 4 end fraction equals fraction numerator 1 over denominator 2 end fraction comma C subscript s subscript 1 end subscript end subscript equals 2 mu blank F](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP8AAAAtCAYAAABh/r3uAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAA85JREFUeNrtnD9oFEEUh4cQggQRLCRFEEFCEAuxExELQSxCEBEsgoVIwErEQhALsbARsUonIhJEAkFExMImBAuRdBIkhWCRWgghSAgirG/YJ1mWvdvdXG73zc33wSNk2E1+N7Nv/u3vxrnemJR4KPHN2caSTgtazkm8ldiS+KNarlMvUIfXErckEnQGpeWzxIzEQf39pMQXLaONoBYJOoOvs2MSq9QLkPxx1tkO9QIkf3x1dlan/tQLkPwRaTkgseLSjUDqBUj+SLQclngvcYl6AZI/Hi3HNfEnqBcg+ePRckLihcQobQQkfzxaxiQWJYZpIyD549LyUUd+2gh6aqh8oNO+lqRLDFK9+D2Npy61DG9LrEs8dukmZ5s0aa/eKahX/z+H6L5gULmnM5zzmQf9qMRdiVcta2vKXj3h+K4E09LIuO/SzcyQ6Ie9+orEGx4Hkj8W/LcDfzqbm5lVpuh5HmlnVrW87jVBrNEtrU2pF7tt9Eyn9qHVQSd79aKO4FXL614DjPwDw5qzZVqqQjd79Q+J8Rrl+WvyndH4Xnux/Y62euM6Wvp9b6j1YlHLkLPxzcQ6dLNX+8+zXVA+3KE8f+/vUEdXpv1M++sy4tLXZ6HUQZm9+ozEcoclwnLJ3/b3LjERZNofE360Gw1AZxV7tX/1N19QftOVv66cce2/0iT5oVFeuvQdv2Wq2qvnJO7kyi7r7Ga2wr2zPA4k/yCyoG2R383278s3JB64XSef31Cb1o7hYu56/7t/v/7XddkQ22eq2qvfSXxS/ZM6kvvP8EFiqsK9UzwmEFPyO11Dz+sI6a/ZdKmdNp8MflPsl3YYTQ8gVfYINnRtv6M/L2TKy5Y2G9pp9IxVj3Rdpg2N3GhJ6cXnvtDj6DaiiXXV4LM6op1Wq1j2SNfB+6jXjCQcWnbZq8/9tMR317uT74aOkl8lDhl6Xqd06t4aIXqkO/FcN0AStJjVkl23l/nc/dp8bB87QD/juJYpq/I6rZ/4TmmurX8eske6aGq5lFlvocWeljxNmnWO6Ownuwm35CLe3G3SI93vtdOq293USdBiTkuepo4R39TPvd5hnyHa5A/RI13EE4nbRhoULeVwjHjLhOiRLuJUwQiSoMWUliwcI25kqrw1AJ9jpWD2kqDFlJb/cIy4IULxSJc1npUvnqClMxwjbowQPNKhNyha7B4jbv1Q2r4SgkeahAtfi+VjxKPGukeahAtfi8UzG6AGlj3SANBnrHqkAaABLHqkAaAB8EgDRAYeaQAohOQHIPkBgOQHAJIfAAYz8XFsARjjHzjyEY+BeXFeAAABw3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bW4+MTwvbW4+PG1zdWI+PG1pPkM8L21pPjxtc3ViPjxtaT5zPC9taT48bW4+MTwvbW4+PC9tc3ViPjwvbXN1Yj48L21mcmFjPjxtbz49PC9tbz48bWZyYWM+PG1uPjE8L21uPjxtbj40PC9tbj48L21mcmFjPjxtbz4rPC9tbz48bWZyYWM+PG1uPjE8L21uPjxtbj40PC9tbj48L21mcmFjPjxtbz49PC9tbz48bWZyYWM+PG1uPjI8L21uPjxtbj40PC9tbj48L21mcmFjPjxtbz49PC9tbz48bWZyYWM+PG1uPjE8L21uPjxtbj4yPC9tbj48L21mcmFjPjxtbz4sPC9tbz48bXN1Yj48bWk+QzwvbWk+PG1zdWI+PG1pPnM8L21pPjxtbj4xPC9tbj48L21zdWI+PC9tc3ViPjxtbz49PC9tbz48bW4+MjwvbW4+PG1pPiYjeDNCQzs8L21pPjxtaT4mI3hBMDs8L21pPjxtaT5GPC9taT48L21hdGg+7YbV5wAAAABJRU5ErkJggg==)
Similarly, ![C subscript s end subscript subscript 2 end subscript equals 2 mu blank F](data:image/png;base64,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)
effective capacitance
![equals C subscript p end subscript equals C subscript s end subscript subscript 1 end subscript plus C subscript s end subscript subscript 2 end subscript equals 2 plus 2 plus equals 4 mu blank F](data:image/png;base64,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)
Related Questions to study
physics-
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
physics-General
physics-
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,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)
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,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)
physics-General
physics-
The variation of electric potential with distance from a fixed point is shown in figure. What is the value of electric field at
=2 m.
![](data:image/png;base64,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)
The variation of electric potential with distance from a fixed point is shown in figure. What is the value of electric field at
=2 m.
![](data:image/png;base64,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)
physics-General
Maths-
The integrating factor of the differential equation
is given by
The integrating factor of the differential equation
is given by
Maths-General
physics-
As shown in figure, if the point
is earthed and the point
is given a potential of 2000 V, then the potential at point
will be
![](data:image/png;base64,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)
As shown in figure, if the point
is earthed and the point
is given a potential of 2000 V, then the potential at point
will be
![](data:image/png;base64,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)
physics-General
physics-
The equivalent capacitance between points
for the combination of capacitors shown in figure, where all capacitances are in microfarad is
![](data:image/png;base64,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)
The equivalent capacitance between points
for the combination of capacitors shown in figure, where all capacitances are in microfarad is
![](data:image/png;base64,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)
physics-General
physics-
The effective capacitance between points
is
![](data:image/png;base64,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)
The effective capacitance between points
is
![](data:image/png;base64,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)
physics-General
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,iVBORw0KGgoAAAANSUhEUgAAAbEAAACgCAYAAACCLVI7AAAgAElEQVR4nO3d2XNT5/0/8PdZdY723ZIsvGEcMJCQBNJ0Jlzk5ttO/4b+iZ3pVW/ai06aSUI7TSmEpbYxxsabJMvWZh2d/XeR3zmxiSEGG8ty3q8ZTQIY6wjJz/s82+cRfN/3QURENILEYV8AERHRu2KIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyGKIERHRyJJP+xv6vn/ov4IgnPZT0DkQvL8H8b0mord10nbj1ELM8zw4jgPLsrC/vw/LssI/Y+N28fi+Hz4EQTj0OCrgiGj0BW35SX/GBUGAJEmIRCKIxWKQZTlsP97WqYSY7/twXRedTge1Wg3Ly8vo9XrQNA2SJDHELhjP8+B5Hvr9PmzbhqZpiEQi4QeRIUZ0MR382X7Xdt33fYiiiEgkglwuh6mpKaRSKUiS9E7f79R6Yo7joFar4fvvv8df/vIXNJtNVKtVaJrGELtgHMfBYDDA5uYmOp0OSqUSstksdF2HKIoMMaILxvf98ObV931IkvTOoROEWDQaxZUrV5BMJhGLxSCK4vB6YsHdt2VZaLVaWF1dheu6uH37NrLZLEPsAvF9H6ZpYnd3FysrK2g2m5ienkalUkEymYSiKAwxogvE8zz0ej1sb29je3sbhmFgbm4O1WoVsixDFN9ufWAwBaFpGorFIiKRyIky4tSGEwFAkiSoqgpFUVCpVPC73/0OExMTDLELIpgD6/V6WF9fR7fbhSiK+O1vf4vPPvsMuVwOkUiEIUZ0Qfi+D8dxsLa2hn/961+o1+swTRNzc3O4e/cuYrEYVFV9qzY+CDFRFKFpGhKJxImmnU51dWJwYZIkIRqNolAooFwuQ5ZlNmwXQDCk0O12YVlWOAyQzWZRKpXCuyq+10SjTxAEuK4L0zRRr9fRarXQaDTQ6XRgGAYkSUKxWEQ8Hn+r7xuEGACIohg+zkWIAT9dlCzLiEQi0HWdPbELxPf9cDFH0OuORCLQNA3RaPSdx8mJ6PwJemL9fh9ra2vY3t6G4zjY3NxEvV7HzMwMIpHIUK/x1Dc7H7wLD+7c6eI4uLT+1d/je010sXieh8FggEajgaWlJWxtbWF/fx8LCwt48uQJBoPBsC/x/VXseLWho4vhYIgd9SCii8O2bezs7GBzcxO1Wg2DwQCDwQArKytYXFxEt9sFcPJ9YyfBslNERHRIEEqGYWB1dRUvXrzA/v4+gB+DbXt7Gy9evECz2YRlWXAcZ2hBxhAjIqIjDQYDLC0t4dmzZ2EVJtd1YRgGms0mXrx4gVqtBtd1h7b2gSFGRESHBAs6Op0OlpeX8eLFC7iuC+Cnij29Xg9LS0tYX1+H4zhDu1aGGBER/Uy328X29jbW1tZQr9fDEAN+XIXe7/exuLiI1dVVWJbF4UQiIjo/ghWJ29vb6Pf7h1YfC4IAwzCwtraGjY0N9Hq9ofXGGGJERPQz6+vr+OGHH7C3t/ez7TNB+bl6vY7t7W00m02YpjmU62SIERHRIcGG5oWFBezu7sJ13Z8NFwa1cuv1Our1+tD2jDHEiIgoFByrtbm5iZcvX4Z7wQ4KKvd0u100Gg1sbW2h1+sN4WoZYkRE9P95nodOpxOWmOp2u7Bt+2dfF6xe7PV6qNfr2NjYQLvdHsrijlOvnUhERKPJ9310u12sra2h0WjAsiyoqhpWmT94npjnebAsK1zFuLe3B9M0oSjKiQr6vi2GGBERhfr9Pra2ttBut8NK9aqqwvd9GIYBy7KQSqUgCAIajQYEQUCr1UKn08FgMDjRgZnvgiFGREQhWZaRSqUwOzsLVVWRz+ehKAo6nQ42NjbQ6XRw48YNZDIZbGxsQFEUTE5OIh6PD6VqB0OMiIgA/DicGI/HMTMzA1VVcevWLZTLZXieh5WVFTx48AD1eh1ffPEFPvjgA2xtbcG2bcRiMVQqlXAo8SwxxIiICMCPm5gTiQSmpqYwNjYGx3Gg6zqazSZqtRpkWYYsy4jH4xgfH8fY2BgAQFEUJJNJKIoCQRAOHXz5vjHEiIgIwI8hpmkaNE0LF3IEBX+DXwOAJEmIxWKIRqNQVTVcyBEE11kOKzLEiIgIAH42FBiEUfD7giCEgSWKYtgzG1YFe4D7xIiI6DUOhtarv/+6PztrDDEiInqtN21gPg+nuTPEiIhoZDHEiIhoZDHEiIhoZDHEiIhoZDHEiIhoZHGfGNGIMk0TW1tbGAwGyGQySCQSiEajw74sojPFECMaQb7vw7IsvHz5Eu12G1NTU1AUhSFGvzocTiQaYaIoQpIkyLJ85oVXic4D9sSIRpQsy8jn84jH40ilUlBVddiXRHTmGGJEI0pVVUxOTsLzPCiKcqYHERKdFwwxoiELSvf4vg/btmGaJgzDgOM4EEURqqpC13VEIpHwWPigXp3jOHAcB77vh9XEPc+DbdswDAPAjz02y7LgOA4URUEkEoGu60OveUd0GhhiREPmeR5M00S/30e73Uan00G/34dpmvA8D5qmIZVKoVwuI5FIwPd9OI6DXq+HjY0NmKaJsbExZLNZ6LqOdruNnZ0d7O3tQZZlZDIZDAYDWJaFeDyObDYbHrVBNOoYYkRD5vs+Njc38eDBAzx//hyGYWBychK+72NrawutVgu6ruPu3bu4cuUKVFXF8+fPcf/+fTx8+BCqquL//u//MD09Dd/3ce/ePTx48AD9fh/FYhHXr19HPB6HpmnwfR+xWOxcFG6l0XGwd9/v92Hb9rn5DDHEjsH3ffi+D8/zwjfu1cPfDt7VHvW1oigeOpOH6CDLstDtdtHpdOC6LiKRCARBgOM4eP78Ofb391EqlZDNZpHNZtHtdrG6uopvvvkGsizj+vXrKBQK8H0fa2trePjwIVqtFmZnZzE5OYlUKgVd16FpGhRFGfbLpRGjqiry+TwuX76MfD6PbDZ7blbDMsSOwXVdDAYDGIYBy7LCo7clSYKiKFAUJTwYzvd9DAYD7O/vw3VdCIIAWZah6zpisVjYgDDIKCAIAorFIu7cuYOrV69CEASMjY3Btm1kMhnUajU8fvwYu7u72N/fR7lcxuTkJObn5/HXv/4VrVYLtm1D0zQkk0l88MEH2N7exuPHj5HJZHDjxg1MTEwgGo0iEokgEomcmwaIzj/f95FOp/Hxxx+Hn89kMhnOwQbt4bAwxI7BMAysrKxgYWEBq6urGAwGEEURiUQCly5dwszMDMbHxyGKIjY2NrC4uIilpSU4jgNN0xCPx3H58mV88sknSKVSbEDoEEEQEI/HIYoikskkTNMEAOzv76PVamF/fx+WZcE0TTiOA1VVkc1mMTY2BlmWMRgM4LouFEUJ584qlQpWV1cRjUaRyWSQy+WgaRokSeINFL0VURTDG6BgX2IwynQeDsVkiB3DYDDAy5cv8Y9//APffPMNdnZ2oKoqJiYm8Pnnn0NVVWQyGQDAs2fP8PXXX+O7776D67pIpVLI5XKwLAvz8/NIpVJDfjV0HrmuC9M00e120e124bouarUalpeXsbu7e6ihEEUxvDkKeva+70OSJOi6jlQqhXQ6jWg0ClVVIcsyJEligNE7CaZCZFk+NFUSnO48bAyxYwh6Uh9++CHa7TYWFxeRy+Xwu9/9Djdu3ECpVMLu7i663S5UVcWtW7dQrVahqiqSySQymQwmJiaQTCbZC6NDgvJRi4uL+P7779Hr9RCPxzE7O4tCoYDBYICVlRX0ej0oihIO3wRL74EfJ91FUQyXz2uaFi7HDxofBhidhmB+f3t7G47joFQqDX2OlSF2DJqmYXx8HJVKBePj41AUBdPT0/jyyy9RKpVgWRbW19dhmiYKhQKmpqYQjUah6zqi0ShisRjDi17LdV1sbm7i3r176Ha7KJfLyOVyGB8fx9jYGHK5HF6+fIler4dms4l2uw1JkrC3txcO6+zt7aFWqyEWi6HRaGBvbw+WZcG2bXS7XRiGEfbGiN7GwX2Mg8EgvJEHgHQ6DUVRhjovxhA7Bt/3YRgGFhcX8ejRI3z88ceYn58Pw2swGCCRSGBsbAyapoWPoNFggNHrBAt/RFGEZVloNpuwbRuLi4twXReqqkIQBHieh//973+QJCmcN7t//z4sy4Ioivjvf/+LSCSCzc1NPHnyJFyduLe3h8XFRWiahkuXLiEajfLzSMcW7EkMNuGvra1haWkJa2trSKfTmJubQzweh+M4Q2vrGGLHYBgGNjY28OzZM6ytreGjjz6Coijo9/uIRqNIJpPI5XJIJBKQZTkc9iE6DkmSUK1W8cUXX2B9fR0AUCqVkMlkkEwm8dFHHyEajcJxHJTL5bBSfS6XwxdffIFWq4VisYhYLAbP85BMJnH58mVcunQJhUIBmqYN8+XRiLNtG+vr63jw4AEePXqElZUV7O7uolqtolQq4caNG8jn80Pr5TPEXuNg97jdbuPp06fY2NhAr9dDo9HA1tYWHMfB3NwcZmZmwjvm8zLZSaNDkiTMz89jdnYW9Xod3W4Xuq4jmUyGgfT5558DQDjvZRgGyuUybt++Hd4FB4/Z2Vm4rgvf98PtHdlsFoqi8LNJbyXoia2srOBPf/oTHjx4gFarBUmS0G63USqVoOs6MpnM0G7cGWJv4HkeAKDRaOD58+dQVRVTU1Not9t4+PAhcrkcfN9HPB4PhxKJ3kWwsrBcLiObzUIQhDCwFEUJy00F8xO6riORSIQrxQ4+jrqZ0jQNsswfd3o7wXB3JpPBtWvXYJom2u02bt68iZs3b2J6ehoTExNDnRfjp/oNbNtGv9/H1tYW1tfXkc1mMT09jU6ng16vh36/D1mWIcsyrl69ikqlAl3XOXlOby0IoGDzfBBWQbHfYHlzQFGUsIzUq43Hq1VlgPOxn4dGUxBic3NzEAQBtm3j97//PT755JNzMXXCEHsDy7KwtbWF1dVV7Ozs4Pr16/j8888hCALq9ToWFhawvr6Ora0tbG5u4tatW5ibm0M6nQZwdEkqolcd9Tk56jPDzxENg+/76Ha7WFlZgW3bmJiYQD6fD4tIB5WKuDrxnBEEAYPBAI8fP8by8nK4ufnDDz+EqqrY2dlBIpHA/fv3sbS0hG+//RYvX77E7du3cf36dUxOTiISiQz7ZRARnYjruuh0OlhdXUU2m8X4+PjPKg+x7NQ51W638e9//xsrKyuoVquoVqvI5/NheZ9SqYRYLAbDMPD3v/8d3377LRYWFvCHP/wBmUwG2WyWQ4tENLKCzfidTgf1eh2ZTAZjY2OIx+PDvrQQQ+wVlmVhd3cXz58/x6NHj1Cr1eA4DkzTxOrqKh4/foxr165B13W0Wi0MBgM4jhNOsvf7fTx58gSapmF+fh4TExNIpVIMMyIaObZth9Mlwfl2weO8YIi9wrKscIPoysoK8vk8crkcFEVBu93GysoKJiYmoKoq2u02LMtCKpXCnTt3wkl4QRCwuLiIRCKBbDaLeDzOECOikRHMcdm2jZ2dHXQ6nfBMOtu2D50nNuy5WobYK4ISU19++SXu3LkD4Kc3SVEURKNRJBIJiKKIcrmMWCyGmzdvhncmB1eLZTIZpFIpLm0mopEVjUZRKpVw7do1TE1NIZ1OQ5blsGbnsLF1fYUsy+Em0zcJ9oedp7FhIqLTEpyMkMvlMDU1BUmSkEgk4LoubNs+NPI0TAyxdzTsN46I6H0J2rdIJIJSqRQe+ttqtbC+vo5YLHZuTuVgiBER0ZFEUUQkEoEsy2EB4F6vh2w2i3K5fC7m+ocfo0REdG4FR7Ds7Ozg2bNnePz4MZrNZlifc9gYYkRE9FrBac7BkSyWZcGyLDiOwxAjIqLz72CB6eDX52WvGEOMiIje6GB9z/N25BRDjIiIRhZDjIiIRhZDjIiIRhZDjIiIRhZDjIiIRhZDjIiIRhZDjIiIRhZDjIiIRhZDjIiIRhZDjIiIRhZDjIiIRhZDjIiIRhZDjIiIXutNhX7PQxFghhgRER3y6pErR50bdvDPhnmumDy0ZyYionPFdd3wEYSTKIrwff9nx6/4vg/TNOG6LgRBgCzLkCTpzI9pYYgREVEYWvv7+2g2m+h0OrBtG8lkEu12G4ZhwHEcOI6Dfr+PRqMBwzDg+z5UVUWhUEAmk4GiKAwxIiI6e77vY3d3Fw8fPsTCwgLa7TYmJycRiURQr9fR7/dhGAZqtRoePXqElZUVmKaJVCqFO3fuIBqNQpIkiOLZzVQxxIiICMCPCzVs28bu7i6WlpawvLyMp0+fQtd12LaNRqOBbreLe/fu4dGjR1hdXYWqqpidncWVK1deO3/2PjHEiIgonMuSZRmKoqDX6+HZs2cwDAOCIEDTNDiOA9u2UavV4Hke2u02qtUqSqVSOH921isWGWJERBSKxWKoVCpIpVLwPA+9Xg+2bUNVVQAI582CBSCSJCGbzSKVSkHX9UMLQc4CQ4yIiAD82BtLJBKYmJhAsVhENBrF7u4uAMCyrCO/PpPJoFKphIs6AJzpkCL3iREREQBAFEXE43FUKhWUSiWkUqmwB3aQIAhQFAWpVApjY2MYHx9HMpk89Odnds1n9kxERDQSYrEYSqUSJicnD4VTQBAEqKqKZDKJYrGIUqmEWCw2hCtliBER0REqlQrm5+eRy+WgKMrPls0rioJ0Oo1isYhisQhN04ZynQwxIiI6RBAEjI+P4/r168hms0fu+9I0DaVSKRx2DObDzhpDjIiIDvF9H4VCAZcvXw6HCl+d59J1HZOTkxgfH0csFoMkSUO5VoYYERH9jKZpyOfzmJqawvj4OGT5p8XsnuchFovh6tWrmJqaOvNSUwcxxOjUnIdjGYjo5ARBgCRJiMfjuHLlCqanp8MQE0URsiwjmUxidnYW4+PjQxtKBBhidIqGeRwDEZ0+TdMwOzuL2dnZcKm9oiiIx+PI5/OoVqvI5XJDG0oEziDE2LBdHHwviX5dIpEIKpUKqtUqEokEAEBVVVSrVczMzCCTyZx5wd9XnWnFDjaCoysYKjz4Hh48DO/V/yei0SfLMjKZDEqlEsbGxtBsNhGJRDAzM4MPPvgAuq4f+vrj/Oyf9rTDqYeYIAhh3SxZlg9NBnLOZLQdfE8PHn4XjJEH4+J8n4kuBlmWw43P8/PzaLfbME0Tc3NzuHHjBuLxOICffuaH8bN/KiF28C49KArZ7Xaxvr4OSZLC8VLeoY++oCDoxsYG2u029vf3Ua/Xsba2BsMwoKoq32eiC0AQBHieB9M00ev1kEgkwgMyVVWFbdtYX19HNBo99vcURRGRSAS6riMSiUCW5RMH36n1xIIXbNs2PM9Do9HAd999h6WlpXC8lI3b6Ap62L7vYzAYoNlsYm1tDXt7e3jy5Als20YikTjU8+b7TTS6gp9513VRr9fRarUgiiIURcHW1hb+85//IBaLHRqBedPPfFBvsVgs4tKlS+Em6ZMuCjnV4cSgIOTs7Cw6nQ62t7fRbrc5vHSB+L4Px3Fgmibi8TjK5TJs28bm5uaRpWmIaHQFoWQYBmRZRqVSgWVZEAQBW1tbYU/ql9r44KwxVVVhmiYikQiSySQSicSJzyA7lRAL5sBisRiq1Sp+85vfoNFowHEceJ7HELtgZFmGruvIZDJhD5y9LqKLKxhKnJiYeKef+SDEJEkKb4RPq90Q/FP4LkGX0zAM9Ho9tNtt9Pt9OI7Dxu0CCm5Kgjuo4MPI95roYjq4iAvAO/3MBxuodV1HIpFAKpVCNBoNF4m987WdRogBRy+9ZqNGRETA0SsYjzMU+Yvf97RCjIiI6KxxFp6IiEbWe6nY8Wrnjgs7Lia+z0Q0bKceYo7joNlswvd9pNNpqKrKxu2CMk0Tg8EAjuNAUZRwuSwR0Vk59RAzTROPHz+GIAi4detWWPmYLp5+v49ms4lut4tEIoFoNMoQI6IzdeohZhgG/va3v0FRFMzNzSGTyZz2U9A50ev1sLm5ic3NTRQKBVSr1aGeK0REvz6nHmJBPS1FUWCaZrgRmi4ey7LQ6XTCytae5w37kojoV+a9jf0EG6DZsF1cnueFBZ9d1+W+QCI6c+9tdeLbbnYOSpH0+330ej3s7+9DlmWk02lEo1Goqsr5llPgOA729/fRarVgGAZisRhisdg7/xtzUzsRDdOph9jBADuqgQvu3m3bDh+macI0TRiGgd3dXezs7GBnZwfxeBxzc3PhEdgMsZMzDAMvX77E4uIi6vU6stks8vk8stksYrEYdF2HoihQVRWqqkJRFCiKcuSQMAOMiIbt1AoAAz8dx3KwsONRe4n29/dRq9Wwu7uLRqOBzc1N7OzsYG9vD+12G61WC81mE+VyGXfv3oUkSchkMmfaaL7tIW8H/w2O87XB46zmC4PyLu12Gz/88AO++uorLC4uIpVKIZ1OI5FIIJ1OI5/Po1gsolgsIp/Po1QqoVAoHLr24MiF4H1m7UQiGpYTh1gw5+X7PiRJguu6cBwn3C8mSRL6/T663W44TLi3t4dmsxn+t1arhUu1DcOAZVkwTROKooQnCTuOEz7P+xQ09geLXR43mILepKqq4YmnR31dEPRnOV8YnMrs+z5UVYVhGFhbW4PjOJAkCZqmhUEWBFgmk0GhUEA+nw+HHOPxOFKpFHRdR7fbDatRH5z/9DyPvWYiOhOnEmLBYZiqqqLb7cI0TfT7fSwsLGBhYQGrq6t49uwZXrx4gc3NTRiGAUEQwobPcZxDjaCiKIjH46hUKrhx4way2Sy63e6Z9FpEUYQsy+EwmiRJxzrvxjRN7O7uYmNjA5lMBleuXDny61zXhWmasCzrTBe+BMEsyzLm5uYwNzeHhYUFPH/+HN1uN3ydwesPfg38ePTK2NgYJiYmMDMzg8uXL6NarcK2bXS7XQwGgzDAg1NeT6OwJxHRLzlxiFmWhZ2dHSwvL6PZbGJpaQn1eh3tdht//vOf4fs+9vb2sL29jUajgU6n88bvJwgCNE1DNBpFrVbDV199hXQ6fdLLfCu6rmNubg6XL19GOp0+8uRRz/NgWRYMw0C73cbLly+xvb2NTqcTNvK6rv/s77XbbaytrWFpaQnNZhOiKJ7pEKnneej3+1heXoZlWbAsC4PB4Bf/brPZRL1ex9raGp4+fYpcLhcGcnDyq6ZpuHnzJqampk58vAIR0XGcSog1Gg08fPgQT58+DcNsb28PW1tbYQNtWRYcxwkb7dc13MGfiaKIRqOBr7/+OjxzJvjz98n3fcTjcQiCgGKxiEQiceTXeZ4XbvZ9/vw5Hj58iEajgWQyiUwmg36/H/bkDjbmvV4Pq6uruHfvHtbW1iDL8pm8LuDHEHMcB4PBAN1uF5ZlvfZ5Dx41LggCLMsKjyhfXV1FJBKBbdsAgFQqhW63C1mWkUgkUKlUjgxwIqLTdirDibIsI5VKoVgsotVqYWVlBb7vI5lMYn9/H+12G67rHvt7iqIIXddRKpUwPz+PWCx2Jo18EJ7RaBT5fP6NvSTXddHtdrG8vIx//vOfuH//PhzHwe3btyEIAvr9fliG6WCIKYqCdDqNmZmZsNbgWS+IsG0bGxsbcF0Xm5ubR37Nq+fDBXvBbNuGoijhawv+vYLwDjY9c5EHEZ2FE4dYEGAzMzNIp9OIxWJYXFyEJEn4+OOP4boums0m9vf3Dy3aGAwG6Pf74XBUsOotmGMbDAZQFAXT09MolUpQFOVMFguIoohIJIJCoQBd13/xOYOh1H6/j0KhgKmpKZRKpbCH9apoNIpyuRyu0jzY43nfRFEM5+5arRZM0wzn5A4OmYqiGAaVruvhsntN0xCPx5HL5ZDL5WDbNgzDgOu6uHTpEq5evfrG105EdNpO3Nrouo6xsTGk02mIoohqtYqvv/4aAPDHP/4RpVIJg8EAu7u7qNfr2NraCuvtra6uolarod/vw/O8cLjLdd1wxaKqqmEwnEVdvuAI7WBV5OueU5ZlxOPxcI7p2rVr+PTTT3H37l1Uq9Vwj9Wr80KxWAzVahXFYvGteqcnFSzq2N7exv3797Gzs4MXL17ANE1omgZFUcIbCVVVkc1mcenSJVSrVYyPj+PSpUsolUrIZrNIJBKQZRnr6+t48eIFarUaqtUqPvvsMxQKBciyzNWJRHQmTqUnpihKOAdSKpUQj8chyzJmZmYwMzMDAOh2u+GS+uBRq9Wws7ODVquFbreLfr+PdruNvb097OzsQFEUeJ6HSCSCfD4fBsr77LkEofNLz+F5HkzTRKfTgWEYmJ6exqefforx8XEkk8nX7gELtg0Eq/jOSnAt/X4/HAZMJBIolUpIp9NIJpOIxWLhEvpsNhsury8UCigWi4c2RAfDyEFvOpVKIZfLIRqNsl4mEb2zg3toj9OOnDjEXn2Sg72YIOAkSYKqqkilUqhWq+E+Mtd10e/3w03P9XodtVoNW1tbWF1dRTabhaZpEEXx0HDXWTSQv/QclmVhd3c3XG05Pj6O6enpMMzf9PeH2cAH840TExNwXRflchnlchn5fB5jY2MoFAooFAqIx+PhsKIsy1BV9dB2g+B9DhauHHxNDDAiehfBPlrbtiGK4rGO8novkxfBqrWDd+TBBamqeqiX47ou8vk8JicnYRhG+Oj1elBVFblcDtls9twNTxmGgc3NTViWhWKxiGQyGTb051kqlcKnn36KyclJ7O/vIxqNIhqNIhKJQNd1aJqGSCQSzmv90t3QqxudiYjeVTCltLe3B0VRkMvlfvGm+NRDTBRFpNPpsCd21LDcwYsKvi4Wi532pbwXQTD3ej1sbGzA8zyUy2WoqgrTNM/90nJN01CpVFCpVE78vYJFMLFYDJqmsQdGRCcWFIM/bsfl1EMsEongww8/hCRJ4ZDURRL8A7fbbWxvbwMAxsbG4Lou9vb2wvnAX4NYLIZisQhRFJHNZs99L5SIzlhoPIsAAADnSURBVDff98PTS45bMOHUW1tN03Dnzp1w/9BFnOT3PA+6rmNqagqmaSKXy6FUKh1rSf5FEovFUC6Xw1qKDDEiOomgZq2u68fODcE/5aV+wRxJEF4Ha/BdBEGtx2ATt2VZ4Z1DPB4/dq3FiyAo9hxsEn/dkS1ERO/LqYfYQcHer4vUsAWrZ4IKFsGCBlVVDy2G+DU4+NH5tbxmIjpf3luIvc35WjS6+D4T0TC9154YERHR+3RxJquIiOhXhyFGREQjiyFGREQjiyFGREQjiyFGREQjiyFGREQjiyFGREQjiyFGREQj6/8BXd6CrVTeQrMAAAAASUVORK5CYII=)
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,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)
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,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)
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,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)
A capacitor of capacitance
is filled with two dielectrics of dielectric constant 4 and 6. What is the new capacitance?
![](data:image/png;base64,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)
physics-General