Physics-
General
Easy
Question
In the given network, the value of
, so that an equivalent capacitance between
and
is
![](data:image/png;base64,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)
The correct answer is: ![48 mu F](data:image/png;base64,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)
![3 equals fraction numerator fraction numerator 16 over denominator 5 end fraction C over denominator fraction numerator 16 over denominator 5 end fraction plus C end fraction](data:image/png;base64,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)
Or ![C equals 48 mu F](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/901493/1/938716/Picture36.png)
Related Questions to study
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
physics-
The equivalent capacitance of the combination shown in figure below is
![](data:image/png;base64,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)
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,iVBORw0KGgoAAAANSUhEUgAAAOAAAACwCAYAAAAWo2IWAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABfjSURBVHhe7Z0JsJVjGMff7DuRbFmuvaxJWQrNRKmpCGVLmdJMMsgwTJaxZp0mikJqkJRuy9BC3CRLloQIhdSNyE6RJRzn97jv8XU6595zzr33vNfX/zfzzel833e+O73P93/f53mX562XSOKEEEHYoOJTCBEACVCIgEiAQgREAhQiIBKgEAGRAAPy66+/uh49etjx999/V5wV6xMSYGB+++03t3LlyopvYn1DAhQiIBKgEAGRAIUIiAQoREAkQCECIgEKERAJUIiASIBCBEQCFCIgEqAQAZEAhQiIBChEQCRAIQIiAQoREAlQiIBIgEIERAIUIiASoBABkQCFCIgEKERAJEAhAiIBChEQCVCIgEiAQgREAhQiIBKgEAGRAIUIiAQoREAkQCECIgEKERAJUIiASIBCBEQCFCIgEqAQAamXSFLx75zwt+f5M1FBvXr1Up/sEX/++ee7P/74w02cONFtsMEGKt88oRw5/vrrL9tn35ebP+/hvN+Hn3JOvxYtb65vtNFGFd9ql7wEyH/g999/d3/++adekALB8Bh30003NeH17dvXynTMmDF2XeWbHxtvvLHbfPPN3Q8//OCWL19ue+7DNttss47IPv74Y7dmzRrXuHFjE5mHMue3lPuGG27oGjVq5A466KC1fl9b5CXAn376yc2aNcstW7YsVZuI/MDw++67rzvhhBPcJpts4iZPnmxCPPfcc92qVatcWVmZ+/zzz1W+OYBA9t9/f3fiiSe6RYsWuccee8x9/fXXVsaHHXZYxV3/im/16tVu5MiR7ueff3a9evVyDRs2XEuEvrypGFu0aOGOOOII+17b5CXAb775xl6YxYsX6wUpEGpYatfOnTu7bbfdNtXS8TJRvpMmTXJLliwxl0pUjhdaly5d3GabbVZxdl0oy3fffdeddtpp7vvvv3fDhg1zXbt2tQowE8Vo+Tx5CZD/CE044svjZyICxuXFwXVCjFFwgShjDpVvblCOHJWJBhdz1KhR7oYbbrAWEPHdd999bosttiiq2DKRdyeMEP83EN3FF1/sJkyYYO7+wQcf7B5//HFzX0MLUMMQIvbQZ/HJJ5+Y+PAuvvzyS/fyyy9XXA2LBChiz8KFC91XX31loRMHPaavvPJKnXD1JUARaxDYggULrHfU910QE9Ii0nOKCEMiAYrYguDo9fzoo4/cypUr7TsgQoZ63nzzTQlQiNoCcSG+8vLydVzNb7/91r3zzjvWQRMSCVDEFgSIq/nZZ59VnPkP3FBiQ1rCkEiAIrb88ssvJjLcUIYbGHflYCogLeIHH3xg09NCIgGK2MLMIlxQ2GqrrdzOO+9ss1+aNWvmttxyS3NDESFTANNd1GIhAYrYgpvJHNDjjjvO5omefPLJNmVt6NCh7pFHHnEnnXSS23HHHYMOxmsmjIgtxIAIEIEx/e/qq6+2VSfTp0+32TCcxx3FLQ0lQrWAIrYgrK233trcTz9nFCEyHIErSmuIAEO2gBKgWC9AZNttt11KbHXF8ZMACwT3hpUhxBksAuXgO7CqwZ/nk/M1OeBLDc4z+Tsid1j+lU9rh0hZqDtlyhRXWlrq5s2bl7IjZc+yMa5jD28TbM6cU677gf/KkAALhJkVTz31lHvooYfciBEjbLEni2kxGl3bY8eOtXMsg2GNXy7GyAWew8JoXoaZM2fWmZr8/4AXX66VIWWLmBhHvOWWW+zT2xGBYX8/xY33Yfbs2WZvbD937lxLOVKVfSTAAiGeqF+/vnv44YetVw3oUfM1H8YhzwsG3HXXXddafV0oGJPnnnfeea5fv372tyXA/KC8fvzxx5zKDcHusssuFkcymfvII49MreFkAJ9nbL/99ia0Bx980ES4xx57uE8//dRdd911bsiQIXauMsFLgAVCHpLmzZtb4ZMSgUWe++23n3v99dfd6NGjbcU7rWOPHj0sxUEmAWJAxIqBqjr8C8MK8EGDBtnLwThWLi+S+Be/ADeb605Zci16wLRp01z79u1TQxbY7NVXXzWxIUCWNrEqn/eAgzw/vAu0hkz4rsxGEmCBYAQGcRFHu3bt3HfffWerrGmhyDlCjhcMRHIgety8+xMFwxAj4lIyWyPTwdIZrnMfz+CZtKgMKmd6pshOVWN+CG7FihXuySefdNdcc4279957TWgM5nfr1i3Vg0pryBzS3XbbzXLI0DLuvffe1tvKd2JNxhzxkCpLlQEaBywQDDBw4EAb0MXdwFDHH3+8O/XUU80AuKjpUNS+uHkR+Pf777/vxo8fb0LOBPchYmrgQw891M7R6vJC4N4ypuXdIpEdxEWMhkcyfPhwE4jPCYMdsOfbb79tcTvC6tSpk7VeiJEFvc8995zZAQHS4iHUtm3bmsgQZlTYuJ133HGHdchce+219rusNkr+cVEA7733XqJly5aJJk2aJJKCS9x6662JZCuYSAopkTRSxV3/wbmkcBJLly5NJFu11H2rVq1KLFmyJJGMG7Ie5eXldp9n9erViY4dOyaSL0Ai+WJVnBWVsWbNmkRZWVki6T0kSktLE0mPouJKwsqQcyUlJYlk3GZljX2wcZs2bRKDBw8223Eu6fYnHnjggcTUqVMz2pl75syZk7jooovs93yvDLmgeZIsM6sFn3/+eXM7r7zySmuN6HAZN26c9YolC73i7v9gXiK9Y/Sm0epxD8/CvWTBKFm7Mh1JI9qEYu4T1cO3eLRQlD1gB5YrEa/jvfTs2dPcSFpM1gsSBhx11FGpRL20fEzyxhtJd2f5DUMTrMDo3r27pZ+sqvNNAswTDIeY6GYmvSBBNy4oeT6Z5pSsHVPd1d7IwBgRbg7xBDGEFyDuJJ0pPBPxph+cR+i4Mx5+Fz1E1XhXnk9s4UE0L7zwggmnT58+1rlGmX744YeWgpOYG5cUF5I4HLHynB122KHiCf/aA3viqlJhEhM2bdrUBF+VfSTAHKEgMRYz50lOTKuF+JhVT3BP1i16wsi2ddddd9l15iHyG37LPR06dLDeMQ+14+677+5OOeUUy1mZ6eCZxH9ka+Y5vDwcGJxnRycAiMohLqcMKTMvDARJK4e46DChdcNDIR6kjI8++mgTEv+mQwxvpFWrVqnWlIqW8kewb731lrWMCBbb8KwZM2bYb7MhAeYIBiOb1qWXXmqB9RdffGED4ST3oXbErUGYnGfgnV7QAQMGpAyNC8N4kjccYHzcHQJ5urOpVdMPzjOFivtg/vz5Lhlv2mruZHxoE4ypdUXuRAWBDRAUrVoybrOkvdiZcsftx2vx7ictHN/32WefVKcK9iUc6d27t3XU0MFz8803Ww5SXFps5N+BTKgXNEcoJlo0ZrlQuwHGYziAg8FdDETPJC0bB4Zj1j3/5ve4mhiGlpPWsKou6kzwDKY/8Xf4+zyDYQleGJEdRIf7T9lfeOGF7vLLL0+5m1zD3Se+w0PhPLbG9afy864roQMVKGXNd6AFZDiKVpBnpcd8e+65p/WKp5/3SIB5QFH5w4MhONLPg7/GgZExIAJkHVrHjh3N0PmSHlsCxuVviOxQ/giMDhWGIojbo+VPuUKmcvTnfLlH7/F2T7cJ+PuyiQ/kguYBBUph4n74w7/86eej14C4A3cEEVITE3dkMlpVZPo70RdCZIeZMJCtEvP2Sj886d+B75lswuGfWRkSYJHAZSQ+ZMYEwbmGFYqPF09d6rSSC1okiBsJ4BEiEFcUEgOKwsAFpQebmJx5u8xi8i1iSNQCFglcEoLxBg0a2OF7NUVxwSWkIqTdqQttjwRYJHz84OOC9FhC1A5eaP6gIsQLIQ70R0ghSoAitiAuXE/cfw6ERuXHOQ4G3xEjMSH3hkACFLEFUbFy4aqrrrJlYnSCITY6wJjIwDzeM844wyYyhGoF1QkjYgvzbFkuxswURMcCaiZY0/lCS8ikhsMPP9zW/bEnfKYlZLWNWkARW5iJRAYBhn6Y2cK0QT/5nfFY3NLGjRu7nXbayQQZAglQxBYEiMBYFkSnF+4nsZ/veEF0bFPNRHkJUIhagPHWJk2a2MT2qMjoDSXhEuJkSlqoXmkJUMQWP+xDnMeEeUTn4XxJSYmt9wvV+oEEKGIPHSysSogKkH8fcMABJsKQSIAi9rBomhUorMf04Jqy9IjlRiGRAEXsYXihdevWawmQnk9c02irGIKCxwH5me9V0lCiCI2P9+j5TBcV7yfDD6T4YPU672ybNm0smzUpQUKKsFoCfOaZZywPhl8hLkQoEB/jfeTXIUFuOryjd999t7v++uvtO+n9SaT8v24ByYHBlB4JUISGFpChBg/f/QG0eiyEJv0gkJqC5Lxc513mIBkTn8SM7KpLomX+XZtUayoaswuYzFqNRwhRY+Bm0iAwyZrlXmQn8wLkHeV6//79LdXjTTfd5A455BC7BgzOk9eHT35Lnh2O2l42Vi0B8lOJT9QVeBf9ygaE57OZAefIRHD66afbpGzcT1q4qED9J+dwTXFr/fXaoloCFOL/Ai4oCZNJmkuv6BVXXOEuu+yyoIPwoGEIsV5AO/Pss89aciwS7NJ5iKsauv2RAEXsQWR0FJKCHheVgwx1fo+OkEiAIvYgQDpeSDfvY0R2uGVtYOgefAlQxB5EhssZ3RUJN5Tdp0Knh5QARexBgC+99JL1gnoYPmNDFXY7CokEKGIPWchp7aJbvOGGIkD28gvZESMBitiD+8kQRLTDBQGyIQsCpGXkewgkQBFrEBZZz8gBExUZrR7HvHnzUhuqhkACFLEFUeF+sn0YnS1+hkv0YChi6dKlwXpDJUARW3A5ifPYfprZL+SGadiwoS3CbdmypSVjomXERWWeaAg2vIEN64SIKewDQSvIHv7sWswGq2yyyTbibCeNCPlEnNHdi9PBXaWVXLx4sW0/zuadrJTgN1xjVg1ippX1W2FTAXD4+aSZ5pVqLmiBUGz+AArXH7g+HNFzHNXB/530z5p6fhyhjBh4ZxCezGe4nN27d7cxwGnTptnuVAiJa5XtYgs8i15UMm2Xlpba/WxpzYJeoENn9OjR7oILLrB0F2xzTQcPwx0kfiL7Gn8/3VYSYIHMmTPHlZWVpWIL1qJ16tTJ9g+fPHmyzbJgNj61ISuxmzZtWq2Jv9S+/K3Zs2eby4TASTp77LHHWnqFymrv9Rlebw7KCzfznHPOMQFOnz49laKC67lUYjyDKWy33367a9SokW1zzeJfWrm5c+faTJuePXvalDc6fngnEP/EiRNt6RN7++MCR1dpKAYsEAxA4U+YMMFcErY+Zu9wjIQ7wsRfureZfc+6surCS/Poo4/aGsx27dqZ0HkBLrnkEqtpRWYQFRVftsrPX88kPmxJxefnjyI0BEVMeeCBB6ZW3iNgBM0iXq7Rsvbu3dudffbZth89LeXMmTNtMTDPiCIBFgg1GSLAFbnnnnsswQ+xxvDhw81IkyZNcoMGDbJWkRaqqtq1KpYtW2b7yp955pnumGOOsXhm2LBh7sUXX3RTpkypuEvUJFSgxIyIa9SoUe6NN96wTh1cTOwNCIrZNAxl8D5Q2eKZUBnj2rIPBfEn6TL8gt8oEmCB0BKRE4fgnRYPIz3xxBOW6q5v375mDFZT425UVsPSBU5XOK1opoNriI/n0er67nNcTjI7Y2w+Rc1Ba7d8+XJzHdnYBYFRiY4ZM8Y9/fTTZnNW2wMxHuf79etntqaHFdfT2wnbIzzs36FDBzsXRQIsEGpC4jwMcP/997v58+eby0GLR2xBQVfV6iFAYkm2zsp2TJ061Wpe3BxqVO9K8XcRLwlncX9FzYEHM2LECOuo6dWrl+vTp4/lj8HFRJjkGMXNxCasqkCgbH1NvJ9e2SJm7NilSxf7PfdEUSdMnlBcxAW4l8R/9IwhhsGDB1uKA+KCqAG4nxYSseDOIEyMRavFfStWrLBnpLsmHu7Hjalfv37K6Lg9PG/s2LGWXo84U50wlUP54lKmd8JkshXXECDio9XCk+E8+wlS7mx5hj2AkAP3sm3btmt1rvAsOn0QMT2t7ENIy5heKasFzBMMSU4Rkv80a9bMDRgwwOIBcozQ+4WhomLy9xOrrVq1yj6HDBliW2RhDFpRXNlsBy4P06UQOUbloMubTh4ye7Vo0ULiqyGwFT3N9G4T4xNr43VQ5mQApCOFXmfiO2xHS0nrR+r7TEImByn34hnx6a9FkQDzBJeCsSBcUARADTlw4EDb5urOO++0YB1xebHgkmBEXFPuPeuss6zX0qfAI5ZgjwJ61TIdXCP2o3blBcHgs2bNsg4ZKgBaSM7TKqYbV+QPwsHNZJAduzGQTxiAqwm0dMB78Nprr5n7T0ccAqT8sQXCRLDEjXgntKBUoHg7jA9G0UyYHPGFS2tG0M0MCjJsUcgE3giFzhJ2W0UsjPtQ8BgGY+LuYFD+TavGVCgGcfk9cdxee+2V9fC9qH7eIrEE7gzixrCLFi0yt5jeuWhNLP4D+yEaOlZw+elF9vbxcA/lSOXqp6cxnoeXQaXHLBjCDAbWESYhQPv27a21xBb8HoHhoiJYxExly1xUNgfFQ2K/QmznUQyYI7zoDLBTuLzwFCKFyZQmPxTBOA9GRoAIkrGgzp07pwJzihpjUHNyvkGDBhVPrxxeCtwZZlrgbnJ4g1OrMsjPeKCvicW6UHnmEgNy4OJjI8qTsiUGJ+Tgd7igxPnEdQw94Pn45L0IDvFy4JHwbP98PqloEXM0VpQAcwQR8LIz1ofIEAAFybADnwzAYmBf8LiGtJLsS8d3XgC6o3FfCdpxL/mdN1BlRP92FP/C0ELydyCX562P5CJAD/diR19xeihrvnOee/gevYfvPhTgiOJ/5z89EmAepBesL3g+068B5/01xOenJ9E6kp8E19XfUxXR5/v7o99zecb6TD4CBMq20DL1dkkn0/PUCZMHFCC1lz/47gs1/Zq/juGJ24gbcWNwQZklQ0zAtVyJPt//3eh3UbNUp0y9fdKPTEiAtQwiI17A3SR2YCiC1pDAPVtNKdYf5ILWMgiQaWvEcRQ1B7Uhgb2fOSFqn3xd0GIh69cyCIyWj3iP2RMMyPJJF7jEJ/QGCBEQCVDEFtxOBt2JwRk4JwzgHGEA/8Yl5RohAudDIAGK2MKYHLOHmJ3EDBhmsnAO8TGIzjpKtq32c21DoE4YEVuYMMFSIPaFZxIDc2cXLlxoLV6rVq0shQQtI6kiunXrZh1jxUYtoIgt9HAy64iZQszRZFI1czOZzzt+/Hj7t89sEJ0eVkwkQBFb6GVGXBwM+aQPOeD8sTbTZxoIgQQoYgsCZKyPCdXMy40O+yBGWj1WrTCPNtSQkAQoYg1Ca968ua27jIqMFo+Wj3ydZBoINSAvAYrYg8hKSkrWysfi3VOWCIUSH0iAIvbQwrGQ1q/bA8TIkjAEGBIJsAgQ7NPzxlpA5iGK4kKsx0JaBOhbO5aFsScEMWJIChYgL5WO3A4GfxnsHTp0qKU2V/nV/FEZCJA1mAxJ4HoiQrLS0TkTavjBU9BAPEvvWc9GvkoGNcW6YGTGmLp27Wq5WkhhSP7Q2267zfLBIEiynvlVEqIwEBTjfORmIX9ONhiUJ3XkjTfeaGVOSpCRI0faRPlQPaBQkAARHfsUzJgxQwLMAkZlBQSC4wVhRx0EyMYezMIYN26cJfXhxZAAC4dyZoiBzNTkW6EsM5UnXgi5Wlq3bm3xX//+/S3PJxVl+lFMChIgE1d5cThCTWKt62BIuroxNmVE2novQLKaMffQi68AE4gKvGhwJfEoSF6Fh5YONuA8cTjTz5iWRlY6/3taUFI9ehe1WGguaC1D8SI0WjwvQHrkRM1CC0fiKnJy4mJmgnsInYjDyc9K7yggOsIF4kIJMGZIgMXBv8Z8VvZKR695oflWsJjC82gYQsQCLyBaMFz/bAeuqj/8uWK3elEkQCECIgEKERAJUIiASIBCBEQCFCIgEqAQAZEAhQiIBChEQCRAIQIiAQoREAlQiIBIgEIERAIUIiASoBABkQCFCIgEKERAJEAhAiIBChEQCVCIgEiAQgREAhQiIBKgEAGRAIUIiAQoREAkQCECIgEKERAJUIiASIBCBEQCFCIgEmCRCLX7jqjbSIBFAPGxHVbIbbBE3UQbdBYBiri8vNwtWLDANW/e3PaMFwIkwCLBHuVsnexbQiFAAhQiIKqKhQiIBChEMJz7B6Z+AXCCriL+AAAAAElFTkSuQmCC)
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
Maths-
Integrating factor of the differential equation
is
Integrating factor of the differential equation
is
Maths-General
physics-
The equivalent capacitance of the combination of the capacitors is
![](data:image/png;base64,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)
The equivalent capacitance of the combination of the capacitors is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWMAAAE2CAYAAAC0gfOlAAAgAElEQVR4nO3d6XMbV3ou8Kf3xr6vJLhJ1GLL40WTud7qJlWpqancfEzlW/7NfEhSNZPNmdgeWTNjSdZiyRIXmASJfWv0ej9Q3QYoUqJGINUmn18Vy5YIAU0QeHD6Pe85LXie54GIiN4q8W0fABERMYyJiEKBYUxEFAIMYyKiEGAYExGFAMOYiCgEGMZERCHAMCYiCgGGMRFRCDCMiYhCgGFMRBQCDGMiohCQT+NO/b2HPM+DIAgQBOE0HoaI6Nw4tTCeTCYYjUaQZRmapkFRFEiSdBoPR0T0s3cqYew4DprNJp48eYJoNIpKpYJMJoNoNHoaD0dE9LM39zB2XRe2baNer+N//ud/kEwm8c4772B9fR2SJEGSJJYt6MI4XKo7/N/Dt/W/LgJBECCKnLbyzT2MHcfBeDzG06dP8dvf/hbJZBKj0QiSJMFxHMiyDEEQLswLjkgQBEiSBFVVg5LddAgJggDXdWFZFkajESaTybl+f/gfRLquI5lMsnz53FzD2PM8jEYjbG5u4uHDh7h//z48z0Or1cK9e/eQzWaDkfF5frER+TzPgyRJiMViWFlZwUcffYRqtYpoNArTNOF5HnRdx2g0wvb2Nr788ks8evQIjuO87UM/FZ7nQRRFKIqC9957D7/5zW+QSqXe9mGFwlzD2HEcjEYj1Ot1bG5uotFoYDKZoNVq4cmTJ0gmkxBFkWUKujAcx4GiKEilUvjoo4+wtLSEVCoF27axv78Pz/NQq9VgGAYajQa++eYb/P73v4fjOEGJ47zwPA+2bcO2bYzHY/zd3/0dPv/8c4bxc6fWTTE98s3n8/jHf/xH/PKXv4SmaRBFEa7rnsZDE4WKPxLUNA35fB5LS0swDAP379/HrVu3oCgK/v7v/x75fB5Xr17FP/3TP+HXv/71uXx/+IO1H374Af/8z/8M27bf9iGFytzLFKZpotvtYjAYBJ/qmqYFpySJRII1IrrQnj59it3dXdy/fx+RSASj0QiapqFSqaBSqbztwzs1juOg2+3im2++wZdffsmz5EPmOpVp2zZ6vR4eP36Mzc3NoO7VbrfRbDbR6XRgmuY8H5LoZ8kf+V6kMLpo3SKva65h7I+Kt7a20Gg0ghfceDzG7u4udnd3YRgGfxlEz12k94Lf4neRPoBex1zDeDKZoNvtYnd3F+12O3ih2baN7e1tPHv2DP1+n7UioucuUjBxZPxycwtjz/NgGAZ6vR6azSZ6vV7wpLuuix9//BEbGxsYDAbntm2HiOgvNbcwtm0bg8EArVYL7XZ7pnHd8zzs7e2hXq+j3+/Dsqx5PSwR0bkwtzA2TRPtdhuNRgP9fn/me57nzXyPYUxENGsuYew4DobDIXZ3d1Gv1zEej2e+77ouOp0O9vf30e/32VFBRHTIXMLYsiz0ej3U63VsbW29ELae56Hf76PVaqHX67GjgojokLmFcafTwe7uLvb29o4d+Xa73WByj6UKIqKfzCWMJ5MJ9vf3sbOzg/39/SBoD/cUDofD4Dbj8ZijYyKi5+YSxqPRCD/++CO2t7fRaDSCMNY0DZFIBKqqAgD6/T6ePn2Kra0tjo6JiKbMZW8K13XhOA50XUe1WkU8HofjOOj3+0gkEkgkEmg2m4hEIpBlGbZtn8uNUIiI/lJzCWNFUZDNZvHuu++iUqng+vXraDab+I//+A8sLy/jxo0b6PV6mEwmiEQiyOVy0HX9Qq0+IiJ6mbmEcTQaxaVLlxCLxTCZTFCpVHD//n3cvn0b+Xwely9fhqqqwRUPKpUKdF3nJVeIiJ6bSxjHYjGsrq6iVqsF+05sb29DURTIsoxEIoHFxUWk02koigJVVYPLLxER0RzLFP7llPxr4B2+vFIsFkMqlYIsyxBF8dxdxYCI6E3MJYz98gMAiKIY7EsxvUOTf0HGl10dl4joopp70faoLfL8v2MHBRHR0U4ljImI6PWwnYGIKAQYxkREIcAwJiIKAYYxEVEIMIyJiEKAYUxEFAIMYyKiEGAYExGFAMOYiCgEGMZERCHAMCYiCgGGMRFRCDCMiYhCgGFMRBQCDGMiohBgGBMRhQDDmIgoBBjGREQhwDAmIgoBhjERUQgwjImIQoBhTEQUAgxjIqIQYBgTEYUAw5iIKAQYxkREIcAwJiIKAYYxEVEIyG/7AIjoYpBlGbIsQ5IkiKIIURQhy/OJINu2Yds2XNeFJElQVRWCIMzlvs8Kw5jOLc/zjv17QRB+dm/WnwvP8+C67szzLwgCbNuGYRgwTROO48BxHBiGEdze/7fT/N+TKL54Eu+6LmzbxmQygWEYsCwLoihC13UoivLK36//uH6IK4oCSZJgmiY8zws+OGbvx4PnenA91/8jjnqV+cf9Oq8zhjGdS47jBG9Ux3GCN7PnebBtG7IsI5FIQJKkt3yk54vjOOh0Otjf34dhGHAcJwgj27YxHA7xww8/oNvtQtM03L9/H+12G47jvHBfkiRBURQkk0kUi0UoihJ8zzRN7O3tYWdnB7u7uxAEAYlEAoVCYeZ2LztOwzDQ6/XQbDbR7XaxvLyMQqGAx48fwzRNVCoVpFIp6LoOAPA8B7Y1Qa/dRKe5D8sV4UCC7ThwXQ+AB8/zIIoiVFVFPB5HMplENBqFqqqvPCaGMZ0af+RhWRYsy4LneZAkCbquvxCC/m39EZP/5pQkCZqmHTkyepnRaIR2u41OpwMASKVScF0Xk8kEpmkiGo0iGo1OHYcH13VgTkzYjgPP+2kELYpiECj+iE/TNMiy/NrHdZzzMkr3PA+tVguPHj1Cv9+HZVkzz914PMbm5iYmkwkGgwEePnyIvb29F8JYEATIsoxYLIZqtYpcLheE7GQyQaPRwHfffYft7W2MRiOk02lEIhGIoniiD1jLstDpdPDkyRNsbW1hOBwikUggnU7jyZMnGAwGUFUVuq4HYQy4cBwT3eYunty/ix+bQwwszLwW/DDWdR35fB5LS0uQZZlhTG+PPwI1DAONRgO7u7uwbRuJRAKXLl1CMpmcue1kMsF4PMZwOMRgMMB4PIbjOIjH41hYWEA0Gp0JxVc99v7+Pr7//nvU63VEIhFcvXoVpmmi2WxiMpkgn89jYWFh6l+5MI0hftyuo9XpwjBteB6CQFAUBZ7nBcdVrVaRz+ehKMobBfJxpZSfK8/z0Ov1sLGxgW63G4SxIAjwPC8IwUgkAkmSUK/X0el0Zp4H/0NQVVWkUilEIpGZsN7b28O9e/fwv//7vzAMA6urq1hYWMDq6ipSqRSi0egrXyf+yPr27duo1+uIx+OYTCawbRsbGxvodDqo1WooFAoz/06Ag/Gwg+0fHuM/b91FvTXEysoKsrkcdE0LHleSJPT7fcTjcaRSKcTj8Vc+dwxjOjXTL/g//elPME0Tq6uryGazSCQSwQvXcRz0+31sbGzgyZMn0HUd0WgUW1tbwaikXC4jFotBluUT1QI3Nzfxxz/+EaZpolqtwnEcmKYZBH0kEgnqlAf/yIVtTtDrdvHk8RM83dyGrusolUpYWFhAMpmE67rY29tDt9uFLMuIRCJIJpPHhrE/0vcfx/8w8Wum08+TYRjBz3ZcQE9PfIWVKIooFAp49913XyhT+B/QnU4HuVwOuq7jnXfeQSQSOfJnliQJ0Wg0+NADAMMwcOvWLXz55ZewLAuLi4u4evUqlpeXkc/noarqiV4jpmmi2+1ia2sLtm1jeXkZ6XQ6KF30+31MJpOZ14ggiJDkCPLlJaxefx//9afHGAx2kc/nceXKVaTTKSiKEpwN6roOQRCOLMEchWFMp8KfsOl2u3jy5Am+/vprdLtdNJtNfPrpp8HoBzh4Y+zv7+PBgwe4desWrl27hvX1dTQaDYzHY2iaBtd1sbS0dMSEyoscx0G9XseDBw9QqVSg6zpUVQ1GPv7XTAB4BxMzjudhv9nEt99+i0wmA03TsLS0hHg8Dtu2ARyUQIbD4Qtv1mme58FxHIzHYxiGAeCnMDYMA4IgIB6PQ9O0IAD8n+2oYBJFEZqmQdO0E01OvS2SJGFpaQlLS0tHft913eA1oWkarly5cqJTeOCg5ry/v4+vvvoKX331Ff7mb/4GN27cwNWrV5FOp4+ZcDv6GAzDwGAwwGAwQLFYxM2bN5FKpbCzsxOUVzzPO/S7kCArUZRqVxDLLuB3X32LZm+I999/Hx9//DFKpRJUVYXruhiNRuj3+xgOhyeel2AY06mJRCJYWFjAZ599hlgsht/+9rdBgE2PlgaDAZ49e4b9/X0kEolgtKOqKr777jv84Q9/wHA4RCqVOlH92J/4iUajqFarqNVqyOVycBzn+DeGqEKNxJHJFVEqV4KReCqVQqlUQrVahWVZiEQiWFpaQiqVOnYCcLpW3uv10Ol0gtAWBAHj8RjZbBa//OUvIYoiHMdBo9E4NkQEQYCiKEgkEkgkEieaoAorURSRTqdx5cqVYKLrpHZ2dvDNN9+g0+kgmUwimUzC8zw0Gg24rhvUjV/FsiyMRiOMx2MIgoB0Oo1SqYSNjQ387ne/w71795BKpWbq3YfJsgJZPui+mP7yf8Z4PA5VVV/r98UwplOjqioKhUJQdrh//z663e7MC3wymaDT6WBzcxO9Xg/5fB7VahWVSgXJZBLdbhf/8i//AkmScPPmTWQymZe+uE3TxO7uLtrtNgAgkUggGo1iNBqh0WigXq/D8zxkMpkXTh9lLYJ4IoVsLo9isQhN05BMJpHNZoNRqV+PnB7ZH8UfUfmjq+lRViQSQTweR61WA3AQDv7E4PT9+ref7gQ5DzVmv/Phde3t7eHOnTuwbRuLi4vIZrNwXRdbW1toNBpIJpNYWFhALpeDNlW/nWbbNnq9Hra3t4O69mAwQLvdxp07d/DFF1/g4cOHWFpaQqvVwmAwQC6Xe6Ef2rEtAF4waed37/j/709Wn6RW7GMY06nyR4imac6MiP3/DodD7O/vo9FoYDQaYWFhIRgtaZoWTIR0u10Mh8OgVHCcnZ0d/Ou//it+//vfo9Vq4fLly6jX63j48CFu3bqFu3fvYmlpCel0GuPxGKlU6qcA9Dx4nhsEoyAIMyOewWAAAEE/6nGnxP6/0zQNxWIR2Wx2Jkin+09fFrDTt/e7BE5yGn5e9Xo91Ot1yLKMxcXF4ANzb28P9+/fR6/Xw8cff4ybN29ibW3tyAUlhmFgZ2cHt27dwn/9138FnRPpdBrfffcdnjx5gp2dHciyjIcPH6JSqSCdTiOVSh27QMVfvCJJUhDsrusiHo+jWCyyz5jCwT9lP7wIwDeZTNDr9TAYDOA4zkxPpizLUBQlmHw7PPF1lNFohGfPnuHp06fodrt49uxZUGu8c+cOvv/+e0iShHa7jclkcuQxOY4TtMb5CwlisRiazSaq1SouXbr0yhn76SDXNO01nzU6imEY6Pf7qFarWF1dRaVSgSzLmEwmePLkCfr9Pp48eTLTUnaYX8cfDAawbRulUgmZTAamaSKRSODKlSsoFArI5XLB5Oxx8wKCIMCyLDQaDTx9+hT9fh+9Xg+9Xg/xeByyLAcrAk+CYUxvlW3bME0TlmUFwTX9Jpru5T0u0KdNr8ryT0dt2w4mU4CDsoC/GORwucGf/e73+9jc3MSjR4/w9OlTyLKMXq+Hzz//HIuLi4hGo6fwbNDL+GcR2WwWS0tLKJVKiEQiSCQSsCwLiqKg0+lge3v72AD1X0OxWAwrKyuoVquoVqsolUq4fPkyPvjgA9i2DU3TkM1mUS6Xg66IwwRBwGQywebmJmRZDroxPM9DrVZ77ZISw5jequl6qj+anJ6gO3x6/yqWZQUjnnK5jPX1dZTLZXieh2q1imaziVqthhs3bsy0103zFxz4q69WVlYgiiJ2d3eDCaLzULs9DY7joNlsYnd3N+jJBjBTnpquiR9+Hqd/1/6HcyaTCcpXfukKQLCACACKxSIKhQLa7TbG4/Gxvx+/jdBvPbt8+TLW1taQyWSCyVTgoPSgKEowEXfU68RfMp3L5VCtVpHNZmFZFhzHQSaTOTbEj8MwprfK73zw67B+SQP4qS/Vf2Met+Jtei+EbreLfr+PYrGI1dVVrK+vB+1t/X4f/X4f+Xwe5XIZyWTyhVYyfwVVJBJBuVxGuVzGjRs3oKoqNjc3sbCwcKI+1ovKdV00m008ePAA3W4XpmnOPFeHP3z93+fhSUt/0UcikUCtVkOxWEQymUS5XIbrumg0GigWi1BVNZhH8MPzuBKSvwLTn3vQdR3lchnLy8tIJpNBWWH6ePx2xMP3579uFEVBqVTC6uoq8vl8sLDFfw0xjCmUjnphapqGeDyOWCwWTPT5s9J++UJRFGiaBlVVj6y/+Qspms0mvv/+ezx69AhXrlzB+vo6rl+/jmKxCEmSghlvf5mr35Vx+Lj8nl7/jbaysoJUKoV8Po9IJAJd10O98OJtOipU/bqrZVkYj8fBZK6maUF74FFhN83zPJTLZfziF7/AgwcP8Mc//hHRaBSTyQSWZQWtkYuLi1hfXz+yXuz3//or/uLxeBDeqqoGnREnCVDx+RmcLMvQdR2xWCyoE093UzCMKZSmR70+XdeRSqWQyWTQ6XTQ7/cxHo+DlVqDwSBYUhqJRI6d0fbrvL1eD6ZpIhKJoFAooFAoIJvNnuj4PMyeOvunwYlEIuhxBnDsCP2on9f/cDny8V6j/OKXTvxZ+7ASBAGpVApLS0szK/Bs28ZoNML29jaazSZEUUQqlcLy8vLU3g+z/Oc/l8tBkiRks1m888472Nvbw+bmJur1ejCp2+l0oKoqVldXsby8fOxzpChKcHyRSATpdHpmSfurV3e6EACM+l2Mn/cqDwYDjEYjOI7zwpzH62AY06nyw216A6Dp01Rd15HJZFAsFjGZTNBut9Hv92EYBra3t9Fut1EoFFAqlRCLxV4ZRLFYLGh7mt0I6EQHO7Pbmz/i9sNU1/UTj5z8IG632+h2uy88H4dHjq+6T3+XuXg8/tqnv2dJkiSUy2UUi8WZn9Hfk+IPf/gDDMOAoihYWVnBxx9/jEQi8dKOBb9MpSgK1tbW0Gg0ABx0zmxubgb13VKphLW1NZRKpRc+LP1jyWazuH79OlZWVqAoShD0J+F5Lhx7gtGghx83fkBrfxeddhsbGxuoVhcQi8WC1/RfcubEMKZT49dy/aWn4/E46GTwyw/+FomLi4tBK9re3h729vbw7bffYnd3F++88w6uXbv20jD231gffvghMpkMSqVSUCs+8fG6DgxjHKya0zQtGGn7XicEp9v6gIPRu7/6yzTNmV3B/FPko/iBPb3PRZgdtX+GLMvBijfbtoMPZn8Hv5MGor/pk9+54LpusEuaX0o6amTqP4exWCxYsiwIwsyE4Ks5sK0hNh59iy///bfYfPwAzVYTX3/9NQABsizhypUrKBaLDGMKH3+EaJpmsBeD4ziYTCbBmzAWi2FhYQGtVgu7u7uYTCZotVrY29uDKIp4//33sbKyEmyReBRVVZHP55HNZvHee+8FgfA6bwrXsWFNDLiOFZQi/B7nv4Rfe47FYgAQ1MD9sM/lckEN2t9g5rj78XuuwzoifpXp+QDTNIPWw8lk8lofmACCdjR/5aK/IOZVv2t/+fXrLMGe5cLzbHSbu9h++giaKqFYLGE0GmFvr4F2ux20tv0lGMZ0avyRnCzLyOfz+PWvfw1BEBCNRjEcDoMJOVmWUSqVoCgKqtVq8Ab7+OOPEYvFsLS0hEQi8dIuhukrQvxFNTtnAtc2oKsSVpaXEIsnIAgHdU0AwXaIJw1Dfz+JZDKJWCwGURSDs4Nms4mNjY3g5y0UCohEIsfWlqd/tp/zCrzp1kX/A/pNWgTPeo8OQVCgamlc++j/IldZx/+b2DCfr0GKx+PI5/MvXan3KgxjOhXTrUvRaBSVSgWLi4vBzLp/ajh9mlmtVlEsFtFsNjEYDLCysnJmG+MctLQJiMcTqKkRVBeXAfw0Kn3d8oAfoNOjMP/nHo/H6HQ6wdmBvzXoXz5iCz//+fAnIP2R8s+rX1uEJOvIlWrIlWpzv3eGMZ0KP4j92WV/M/np/s2jRnmiKCKTySCVSr1WLfGNSSoUXUZSjSPuvriPxDxGpP7EnV8+mb4CxkUwPTL+eYbx6WIY06mZPr0+6ej2dbdVnBdBECFIIsRTzP7DF+g8/Hfnnf86UBQl2FOafsLOdaK35CIFsf+h7E+g+Z0lF+k5eBWGMRGduukzJFmWYds2LMt624cVKgxjIjoT02UKjoxfxDAmolM3XaZgGB+NYUxEZ8LvvfYn8BjGsxjGRHQmpjc7YmvbixjGRHTqDvdrz2MF3nnDMCaiMzG9h4RlWSxTHMIwJqIz4U/gaZoWXKuQfsIwJqIz4W9Z6YcxR8azGMZEdCamW9vYTfEihjERnQm/19jfJ9q/EjMdYBgT0ZmZ3qnuouxWd1IMYyI6M/42ogzjFzGMiejMHb4wKzGMiegM+WWKi7if86swjInoTPnLov2JPDrAMCaiM+VvpSlJEmzbhuM4HCGDYUxEZ2z62ogM458wjInoTPmLP/yrRHPxxwGGMRGdmemrhouiiMlkwjB+jmFMRGfKrxlPhzExjInojPndFAAwmUxg2zZHxmAYE9EZ8zeZF0VxZgLvogcyw5iIzpR/LbzDYXzRMYyJ6Ewdbm3jJvMH5Ld9AER0cfjdFKqqBhvMc2R8gCNjIjpT033Gpmmyte05hjERnSk/jP0Lk7Kb4gDDmIjO1PQEnt9n7LruhQ9khjERnZnpmrEfxqZpXvggBk4xjP1LcbOHkIim+Ys+BEEIJvDolMLYD1+/bYWXVyGiaaJ4ED2O47BE8dzcW9v8etDy8jJ+85vfoFAoYHFxEdFoNNjdn4guLr9MMb2FJp1SGGuahmvXrmF5eRmSJEHX9eC0hIguNlEUoes6FEXhoo8pp7LoQxRFRKNRRKPR07h7IvoZO2oLTZYy5xTGnufBcZzglMOvAfklC0VRACBYceN/XxRFyLIMVVU5aia6AKa7KSRJwmg0ChZ9XPS68VzC2DRNtNtt7O3todVqYTgcwjRNSJKEWq2GWq0GURQxGAyws7ODTqcDy7KQTCZRKpWwvLwMVVXncShEFHKHr/TBRR8H5hLGjuNgOBxie3sbDx8+xA8//IDJZIJ8Pg8AyOVy0DQN7XYb3377LTY2NmCaJi5dugRVVbG4uDiPwyCinwFJkqBpGsP4kLmEsV9iGA6H2NjYwBdffAHLsvDhhx/i+vXr8DwPkiRhPB7j8ePHePjwIQAgm81ykxCiC0QQBAiCwJHxEeYSxpqmIZ/PY2VlBY1GA99++y1UVcUnn3yC69evI51OQ1VVxONx5HI5vPvuuygWi3jvvfewtrbGEgXRBeHPJR21ufxFN5cwFkURqVQKtVoN+/v7qFQqSKfT+PTTT3H58mWoqorBYABBELCysoJ4PI7Lly+jWq1C1/V5HAIR/UxMr8BzHIdh/NxcW9scxwkuvS0IAqLRKDRNg23buHv3Lvb29lCpVIIvTdPm+fBEFHJ+N4WiKJBleWb13UUP5LmGsWVZGI/HGI1GcBwHkUgElmVhZ2cHzWYTjuMgn8+jUCgwiIkuqMNX+uDI+MCphHG/34dt24hEItjf38f9+/chyzKKxSIymQxrxEQXmL8CT5Zlbi4/Za4bBfkLPjRNg67rEAQBrVYL9Xod0WgU5XIZsVgsuEw3EV08/sjY76ZgGB+YWxj79WLP85BIJKBpGrrdLnq9HlzXRTqdRj6f52o7oucu4vtgegWeLMtBaxuXQ88xjE3ThGEYsG0biUQChmHg9u3bsCwLN27cQKlUCnb3J7rI/ECSJAmqql64sp2u64jH49A0LeimADiBN5d6gb/nxGg0wnA4DPYybrfbqFarWF1dRTwehyRJF3I0QOTz3xvj8RjdbheNRgOxWAzRaPTMdi+bHp36AyRBEOC6brAoAzg42x2Px3NflOFnRbvdDvam4Mh4jmE8mUwwGAzQ6XTQ6/UQjUZRrVaDnmNJkubxUEQ/a57nwTAM7O/v49GjRzAMA8+ePQsuXX8Wjy/LMmKxGMrlMsrlMnRdh+d5mEwmkGU5mO9pt9t4+PAh2u32XDeAd10Xpmni3r17aLVamEwmF35UDMwxjA3DQLfbxXA4DIJ4eXkZ+XyeQUyEnyau/ODd3t5Gq9VCNBqFJElnEkiu60JRFKRSKfziF79ANBrFZDJBv9/H5uYmMpkMVlZWIMsy9vb2cPv2bWxtbc01jD3Pg+u6qNfriEQiPGt+bm4bBU0mExiGAUEQsLy8jKtXr2JpaYn9xETPSZKEWCyGYrGISqWC3d1d9Pt9DIfDMwkif5tKWZZhGAb6/X7QzfDs2TN8/fXXWFlZQT6fRzQaDUbwOzs7ABCUMeZ1LIqi4Pr166jVasFo/CKbWxhbloVIJIKlpSWsr69jfX2dQUw0RZZl5HI5/OpXv8LKygrG4zEsyzrz4/A36qlUKkgmk6jX62i1WtjZ2UEymQzey5cvX8Y//MM/YDAYAJjfBJsfuv5+5wsLC0gkEhd+cn9ue1NEIhEsLCygWCzi2rVrKBaLF/6Tjmia/z7x9/gOA8/zUK/Xg5WzhmEEawUymQwKhcLbPsQLYy5hrOs6qtUqCoUCPM+DruusExP9DPiThn6HxXQ3BZ2tuY2ML2K/JNHPnV96mC4d0NtxsYs0REQhwTAmIgqBue/Y4zgOTNMM2mCmrw5NRERHm2sY+0ug79+/j06ng0gkgrW1NayurrIWRUT0EnO/0ke/38fjx49Rr9eRSCSQSCSwsrLCMCYieom5h7FhGOh0Otjb28N4PMZwOJznQxARnUtzn8Dzd6Xyl1lyNyYiolebexhP79XKzT+IiE6GrW1ERCHAMCYiCgGGMRFRCDCMiYhCgGFMRBQCDGMiohBgGBMRhQDDmIgoBBjGREQhwDAmIgoBhjERUQgwjImIQoBhTEQUAgxjImHo4KgAAA8MSURBVKIQYBgTEYUAw5iIKAQYxkREIcAwJiIKAYYxEVEIMIyJiEKAYUxEFAIMYyKiEGAYExGFAMOYiCgEGMZERCHAMCYiCgGGMRFRCDCMiYhCgGFMRBQCDGMiohBgGBMRhQDDmIgoBBjGREQhwDAmIgoBhjERUQgwjImIQoBhTEQUAgxjIqIQYBgTEYUAw5joApNlGbquQ1EUSJIERVGg6zoikcjbPrQLR37bB0BEp8txHAwGA4zHYwCAIAgADoLYMAxsb2+j2WxiOByi3W5je3sbgiAgHo/Ddd3gfjzPgyiKUFUVuq5D07Tgvo5imiZs24bneZBlGaqqvvT201zXhW3bwTEnEglYloXhcAhN06BpGiRJmro/D5538HVACI75MEEQgq8wYRgTnWOe52EwGODf//3fcevWLUiSBEmSAACiKMK2bTSbTdTrdWxsbKDf72M4HCKVSkFRlJkws20b0WgUly5dwvXr13H16tXgvo6ytbWFnZ0d2LaNYrGI1dVVaJp2ouMej8doNpt48OABAODTTz9Fs9nE7du3sbi4iLW1NcTjCSiKDMCD6zqwLQuWOYHrehAkGY7jwnGcmZ9BkiSoqgpZliHLMkQxPMUBhjHROeZ5HlzXhWVZMAxjJowFQYDneVBVFcViEdFoNChZWJb1QpDZtg1RFIPvvcxwOMSjR4/w4MEDyLKM69evo1arvTKMPc/DZDLB7u4uHj9+jLt37yIej+NXv/oVOp0O7t27B1EUUalUEI1GEUSY58I2x9hv7KGx10Sr04MeiSCTyQQjaH/kLIoiUqkUUqkUotFoaAKZYUx0zimKgtXVVUiSBFEUjwyf6dA97vTdcZwguHO53LG3s20brVYL3333Hf785z8jl8uhXC7PlDyO45dUnj17hjt37mBnZwe1Wg2e52E0GgV/tixr5v5EwYNjT7C/t4c//vHP+MPtP2FxcRE3b95ELBaDJElwHAfj8RimaaJSqUAURWiaxjAmotMnCAI0TcPKygoKhcJMrdTzvOD/BUGAKIrBSPrw9/0/i6IYTPAdF8b9fh/1eh2NRgOdTgfRaBSWZZ3oeB3HwXA4RKvVQrfbRTabxfLyMjRNg+M4sG37iFG5AIgKFD2ObKEEWdXw9OlTpFIpFAoF5PN5KIoC13XR6/XQ7XYhSRJM0zyypvy2MIyJzjFBEKAoCnK5HHK53Kk+lud5sCwL3W4X+/v7GI/HQfifdPRpWVYQmJPJBGtra1haWoLruhiNRnAcB67rwnXdQ0EqQtXiyBcrSKUzMAwDoiiiXC6jXC5DURQABx8UnU4HlmVBlsMVf+E6GiL62bJtG91uF/1+P5jsS6VS0HX9xGFsGAaazSa63S5s20YsFoOu62g2m9jZ2UG73cZoNApGyLOje0AUhaA9T1VVAD+VYDzPg67ryOfzABC08oUFw5iI5sIwDPz4448wTRO5XA7ZbBb9fh+yLJ+ojcxxHHS7XTx9+hRPnz4NgrfdbuPOnTv45ptvsLm5iWfPnmFjYwPRaBSapgWh6xNFcaZTQhCEoBYNIGiNY2sbEYXSSSbxjvt3giBgOBxic3MTxWIR6+vrePbsGXZ3d4NOhlfdh23baLfbePjwIe7du4d+v49r167B8zx88cUX+Prrr7G1tYVsNotarYZCoRC04B2ubfv3Nx6PMR6P4TgO6vU6BEFAJpNBOp0O3cIWhjERAcDMxN5J+XXiXq+HTqeDZDKJUqmEXC6HWCwGVVWD3t5XtbX5j++PYn/88Uf86U9/wmAwgKZpSCQSAA4WgBSLRcRisWPLDLZt4/bt23AcB9FoNBgpr66u4v333w/uK0wYxkTnnB+Ytm0f+X1BEIJe5OFwCNM0kUwmEYvFDq1qO7it36vs9ytPJpOgrBCJRIKFJL1eD8PhELIsYzAYoN/vI5PJHFs/tm0brutCVdWg57nb7cIwDLz77rtQVRWe5+G9997D9evXkcvlXhgV+xzHwebmJhqNBgAgGo2iWq1C13Vcv379TZ/SU8EwJjrn+v0+/u3f/g1fffXVTIj6/JqqaZoYjUYwTROpVAqxWGyml9eflLt8+TJu3LiBd955B5IkYTQa4e7du7hz5w4MwwhWuD18+BA7OzuQZRntdhumaeKzzz7D5cuXXzhG13XRarWwv78Py7Kwvr6Omzdv4t1338WlS5eQyWRw48YNfPLJJ1heXsbCwsJL2+tkWcYHH3yAzz//HMlkEpIkwXVdlMtlJBKJ0PQWT2MYE51jfu201Wphc3MTsiy/EMb+qrp+v4/t7W20Wi1cuXIFCwsLM6vwLMtCPB5HJpPBaDSa6VLw73M8HmMwGMBxHLRaLfT7fUiShE6ng06ng8lkcuRxuq6Lvb09bG9vo9/vI5vN4oMPPsDNmzdRq9UAHIx2LcuCoihQFAWiKL4QxoIgAM9H72tra/jbv/1blEolAECn04EoikgkEqFrawMYxkTnnq7r+Pjjj7G4uPhCgPllh+FwiHq9jv/8z//E3bt38dlnn+Gv//qvMZlMgkUWfgnBX1HnB3AikcBf/dVfYW1tDYZhQBAEjMdjfPHFF3jw4AEkScL777+PTz75BNVq9chjdF0Xu7u72NzcxN7eHmKxGOLxOOLx+EyLmt8F8bIJRgGAIIhQFAWRSASRSCTYnc7/4HjZnhpvC8OY6JxTVRVLS0soFosAXuyUkGUZ/X4fsVgM9+7dg67rWF1dxYcffgjDMIIwPrxrm38/mqZhcXERxWIRjuNAluUg3P3VbgsLC1haWjp24kwQBMRiMRSLRViWhVqthnw+P9Px8KoQdmwb5sTAeDTEYNBH//lOdbZtB7u8+T9H2NraAIYx0bkmCAJkWQ42xjmOrutot9uIx+OIPN9gJxaLIRaLvfIx/B3Qpm/rB6s/gi4UCkgmk8eWByRJQrVahSAIWFtbQyqVQqlUOuGiDA+e58I0x+j3Ouh1f+pP3tnZQTKZfGlpIywYxkQUhNT0XhVvQpZlLC4uwnGcIGhfVhrwly6n02nYtv3CKrqXEwDXxGTUwcaTR9jZ3kYkomM8HuPx48dIp9OIxWKhrBNPC/fREdGZOLzfw0l2WHsZz/NQqVQQi8UgiiKSyeRLOxj8MsVJRuLH3gc8ePCQzeXwq1/9H8Tj8VCutDsOw5iI5k4URRQKBWSzWQA49UkzQdSQyFTw4V9lcP29m5iYVrBFpj/CDmM72zSGMRGdCr+WfCYEEZKsIhZXEYufzUPOW7g/KoiILgiGMRFRCDCMiYhCgGFMRBQCDGMiohBgGBMRhQDDmIgoBBjGREQhwDAmIgoBhjERUQgwjImIQoBhTEQUAgxjIqIQYBgTEYUAw5iIKAQYxkREIcAwJiIKAYYxEVEIMIyJiEKAYUxEFAIMYyKiEGAYExGFAMOYiCgEGMZERCHAMCYiCgGGMRFRCDCMiYhCgGFMRBQCDGMiohBgGBMRhQDDmIgoBBjGREQhwDAmIgoBhjERUQgwjImIQoBhTEQUAgxjIqIQYBgTEYUAw5iIKAQYxkREIcAwJiIKAYYxEVEIzDWMBUF4rb8nIqIDbxzGnufN/P/0n4+7DRERzZLf9A5s24YoinBdF5ZlwXEcAAejYUEQ4HnezG1EUQy+iIjowBuH8WAwwGQywWg0giAIME0TrusG37dtG4PBAJ1OB47joFAoIBaLMYyJiKa8cRjv7+9jf38f29vb0HUdtm2j1+thMplAFEU0Gg08fPgQz549gyRJ+Oijj6CqKhRFmcfxExGdC28cxk+fPsX9+/fx3//93zAMA6IoYjwew3VdSJKE77//HrIswzAMrK+vo1QqIZ1OIxqNzuP4iYjOhTcOY8Mw0Gg08Oc//xnb29twXRfpdBq6rsPzPOzv76Pf7yOfzyMajWI4HM6UMYiIaA5hXKvVsL29jVKphL29PbRaLTiOA1mW4XkehsMhJElCsVjEwsIC0uk0NE2bx7ETEZ0bbxzGhUIBxWIRhUIhGA0bhhF0UgCAKIool8uo1WpIJpOsFxMRHfLGLQ2pVAq5XA6FQmGmDjzdTyxJEhYWFrCysoJEIgFZfuPPACKic+WNwzgajSKVSqFQKCCRSBx5G0mSUK1WUavV2NZGRHSEN05FURQRj8dRLBaRyWQQiUReWP4cjUZRKpVQKpUQiUQYxkREh8wlFaPRKAqFAnK5HOLx+EzYiqKITCaDbDbLejER0THmEsa6riOfzyOfzyOZTAY1YUEQkEwmUSqVkEwmoWkaJEmax0MSEZ0rcwljVVWRzWaRz+eRTqeDwBUEAel0GouLi4jH49y9jYjoGHMJY0VRkEwmUS6XUS6Xoapq8L1MJoPFxUUkEgnWiomIjjGXdJQkCfF4HKVSCdVqNQhjQRCCMD5cSyYiop/MJR1lWUY8Hke5XEalUplZYZfJZLC0tMSRMRHRS8wtHXVdRzabRbFYDPqNRVFENpvF0tISkskkRFFk3ZiI6AhzWwoniiKi0Wgwked3TmSzWdRqNZYpiIheYq7rknVdRzqdRqFQQKlUgiiKyOfzSKVSXAJNFGL+1Xd45vr2zDUhNU1DKpVCpVLBysoKFEVBLpebGRHzGnhE4eGHr+M4cByH29u+RXMNY0VRkE6ncenSJXieB1mWkU6n0ev1AACWZR170VIiejtkWUa/30er1cJwOIRt23yPvgVzDWM/fK9du4ZMJgMAiMfj2NrawnA4DK4AQkThIUkSRqMRtre30el0eMHgt2SuYSxJElKpFN577z1cunQJpmlif38fd+/exdbWFrrdbjAyZm2KKBz8Cwl3Oh3s7+8jFovNLNyiszHXMBZFEbquo1gswnVdmKYJx3Gwt7cHXddnyhQMY6Lw8C8SHI/HEYvFkM/n3/YhXThzDWNBECBJUrA3haIoKJVK8DwP1WoVlmWxTEEUQv4gyfM86LqOarX6tg/pwjnVfjNRFJFKpaCqajBTy4kBovDyB1THXSiCTo/gMR2JiN46TpkSEYUAw5iIKAQYxkREIcAwJiIKAYYxEVEIMIyJiEKAYUxEFAIMYyKiEGAYExGFAMOYiCgEGMZERCHAMCYiCgGGMRFRCDCMiYhCgGFMRBQCDGMiohBgGBMRhQDDmIgoBBjGREQhwDAmIgoBhjERUQgwjImIQoBhTEQUAv8fAFhElBiNBdsAAAAASUVORK5CYII=)
physics-General
physics-
Four plates of equal area
are separated by equal distance
and are arranged as shown in the figure. The equivalent capacity is
![](data:image/png;base64,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)
Four plates of equal area
are separated by equal distance
and are arranged as shown in the figure. The equivalent capacity is
![](data:image/png;base64,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)
physics-General
Maths-
Solution of differential equation
is
Solution of differential equation
is
Maths-General
physics-
In given circuit when switch
has been closed then charge on capacitor
and
respectively are
![](data:image/png;base64,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)
In given circuit when switch
has been closed then charge on capacitor
and
respectively are
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXsAAAEJCAYAAAB11IfBAAAgAElEQVR4nO3dWXMbZ3o+/Ku7ATTQ2DcSADdxFbVLI9kej+3JxJVxkpMklZyk8l3yYXIylapUKlVJpSqVKU/8lxdJtmVLpChxkbgLJEDsO9Dd6PfAb7ephRIp0SIbuH5VqqmRSbApSheefvp+7lswDMMAERH1NPGkL4CIiH55DHsioj7AsCci6gMMeyKiPsCwJyLqAwx7IqI+wLAnIuoDDHsioj7AsCci6gMMeyKiPsCwJyLqAwx7IqI+wLAnIuoDDHsioj7AsCci6gMMeyKiPsCwJyLqAwx7IqI+wLAnIuoDDHsioj7AsCci6gMMeyKiPuA46QsgetdarRay2SyePHmCWq0GWZYxOjqKoaEheL1eiCLXQNR7GPbUV1qtFjY3N/HNN9/g3/7t37C5uYlYLIa///u/x1//9V9jZGQEsiyf9GUSHTuGPfUFTdOws7ODpaUlfPfdd/j2228xNzeHWq0GQRBQKpVQrVbR7XZP+lKJfhEMe+pphmGg0Whgb28P9+7dw1dffYVbt25heXkZ1WoVsixDEAR0Oh00m02GPfUshj31tFarhfX1ddy6dQvffPMN7t69i+3tbZTLZei6DlEU0Wq1UK/X0Wg0GPbUsxj21LNarRZ2d3exsLCAmzdv4rvvvsP6+jparZb1MZqmod1uo9FocGVPPY1hTz2p2Wwik8lgcXER9+7dw/3797G1tfVM0AM/bfOoqopms8mwp57GsKeeYxgGlpeXcevWLczPz2N9fR2yLENRFNTr9Wc+ttvtWvv1rVaLYU89i2FPtmcYBnRdR6fTQaPRQD6fx+3bt/Hll19iZ2cHLpcLly9fRiAQwI8//ohqtQpVVQH8HPaNRoN79tTTGPZke4IgQFVVbG5u4uuvv8Z///d/o1KpIBqN4i/+4i9w9uxZxONxrKysIJVK4auvvsLa2pr1+e12G/V6HfV6nWFPPYthT7bW6XSQy+WwsbGB+fl53LlzB6urq0gmk7hw4QI++eQTnDt3Dl6vF4lEAqIoYn19HRsbG1awa5qGVqvFbRzqaQx7si1N05DJZHD79m188803ePDgAWRZxt/+7d/i8uXLOHv2LAYGBuD1euFwOJBMJnH58mWMjo5ibm4OjUYDqqpa20C6rsMwjJP+toh+EQx7sp1Wq4VisYjNzU0sLi5iYWEBu7u7iEajmJ6exieffIKpqSnE43HIsgxJkgAAPp8PQ0NDuHHjBnZ2djA/P4+9vT2rIqfT6TDsqWcx7Mk2dF1Hq9VCJpPBwsIC5ufnsby8jE6ng3g8jkuXLuHixYuYmZmB3++Hw+F4oalZIBDAhx9+iGaziWKxiHK5DE3ToGmatcon6kUMezr1ut0uNE1DrVbDxsYG5ubm8M033yCTycDtduP8+fO4du0aZmdnkUgkoCiKtZp/nizLuHjxIlqtFubm5pDNZpHL5WAYBrrdLsOeehbDnk61brdrtSReX1/HvXv38OjRI6TTaXi9XszOzuKDDz7A1atXMTg4+NrXkyQJXq8X09PTuHjxIjY3N63ae03TGPbUsxj2dCoZhmE1KCsUCrh79y7+9Kc/4YcffgAAfPrpp3jvvfdw7tw5JBIJ+Hy+I72+1+vFpUuXsLa2hnQ6bZVvMuypVzHs6VQyDAO7u7t4/Pgx5ubmsLCwgKdPn2JkZASTk5P47W9/i/PnzyOVSh24ZfMqiqLg0qVLePr0Kba2tlAqlVh6ST2NYU+njmEYKBaLmJubw82bN3Hz5k10u13Mzs7ib/7mb/DrX/8afr8fsiy/8VQpp9OJ8fFx3LhxA+l0Gg8fPoTT6YQgCMf83RCdDoLB+1Y6RQqFAh48eIAffvgBCwsLKBaL8Hq9mJiYwJUrV3Dt2jWMjo4eWyhns1k8evQIOzs7UBQFn3zyCcLh8LG8NtFpwrCnE2f2p8nlcnj8+DG+/PJLfPfdd6jVahgaGsLvfvc7XLt2DZOTk9YBqeNidrxUVRWiKFolm0S9hmFPJ8owDJRKJSwvL2Nubg7379/H3t4eJEnCzMwMLly4gHPnzmFoaAjBYPDYh4EbhmH9AgBRFLmVQz2JYU/vnFnT3ul0kM/nsbq6itu3b2NpaQmFQgEDAwM4d+4cLl++jImJCcRiMXi9XoYw0Vvg/Sq9U4ZhoNPpoF6vI5/P4+HDh7h37x7u3r2LTqeD6elp/OY3v8H777+PeDxuHZBi0BO9HYY9vVOGYaBWq2FxcRHffvut1Z8mHo9jenoaV69exdmzZzE0NARZlk/6col6hu3CXtM05PN51Ot1HoKxGUmS0G63kc1m8eOPP+Krr75CNptFLBbDBx98gN/85jeYnp6G2+0+0es0u2ASmc9weuHO0nZ79sViEf/+7/+O77//Hjs7O2i32z3zw+h1giBA13U0Gg2IoohQKIQbN27g/fffx/T0NAYGBqAoyon/LM2pVzxg1d9EUYTL5XqjQ3unke1W9u12G48ePcKPP/6IWq0GRVEQCASOvUqDfhmGYcDhcGBgYAAXLlzA7373O1y/fh0ej+ekL81a0e/s7GBlZQXNZvPE33joZJhv9LFYDIlEwnp+ZOe/D7YLe9PQ0BDGxsZw5coVnD17tmfefXuZeRNpGAZkWUYgEEAoFILD4bB64ZykbreLZrOJ+fl5/Ou//ivy+by1iDjpa6N3yzx7YTba+/jjjzE2NmbrU9a2DHszLAYGBjA1NYVLly7xIIxN7K9nlyTpVO2JCoIASZLg9/sxPDwMn8/HO8Y+sv/vYCaTwfb2NsrlMkqlEprNJnRdh9PpPMErfDu2TEhBECCKIpxOJ2RZhtvtZtjTWzP3aCcmJvBXf/VX1vMg6h/mwmNxcRF37tyBz+eDy+WCIAi2LwaxbULu/0fIf5B0XCRJQiwWg6IofEDbZ8wcMe/mNjc3IQgCnE5nT9zh2Tbs9x9z73a73LOnYyEIAmRZZo1/n4vFYvD7/VBVFQ6H49RsNb4N24a9qRd+CPRq3W7X+mV6/s7O3Nrj3wU6DrquW2Mq7b59Y7Jt2AuCYA2U5j/w3tXtdtFut5FOp7G1tYVOp2P97CVJgiRJcDgcCAQCGBsbg6IoJ33J1AN6JeD3s2XYG4ZhPaA1A596U7fbRbVaxcLCAr7++mtomga32w1ZluFwOKxb7GQyiUgkwrAnOoAtwx74uSKHQd/bVFVFLpfD9vY2crkcrly5gtnZWbhcLjSbTRQKBWxtbSGfz0PTtJO+XKJTy/Zhzz373qaqKgqFAjKZDCqVCkZGRvDRRx/B4XCgVCphbW3N6pPEvwdEB7Nt2FN/6Ha7qNfr2NvbQzqdRrvdtrZwvF4vIpEIxsbGoOv6iTdQIzrNbBv2vfgAhV4kiiI8Hg8kSUK9Xsfm5ibW1taQSqUgSRICgQBGRkZgGAbDnugVbLfhvb8UioHf+1wuFxKJBFKpFLxeLxYXF3Hz5k2sra2h0WjA7XYjkUhgaGgILpfrpC+X6NSy5cq+l2pf6dWcTiei0Sg++OADqKqKH374Af/1X/+FRqOB9957D7Ozs/D7/XxYT/Qatgz7brcLXdcZ+H1AFEUEAgFcvXoVgUAA29vbuHv3Lm7dumX1xB8dHWXJJdFr2G4pZBgG2u22NVyCgd/bzN4kwWAQU1NT+Md//Ef83d/9Hfb29vCnP/0Jn3/+Oba2tk76MolOPVuGva7rXNn3AVVVoaoqgJ8alIVCIbz//vv4+OOPEQgEkMlkMD8/j2w2e8JXSnT62XIbh7X1vc8wDBSLRXS7XcTjcUiSBMMw4PP5MDIygnPnzkHTNBSLRTQajZO+XKJTz5ZhT73NMAxUq1UsLy+j1Wrh7NmzGBgYsDpRejyeZ3rj8I2f6PUY9nTqqKqKUqmEJ0+eoFwuW6PgEokEHA4Hms0mWq0WZFlGIpGAz+c76UsmOvUY9nTqtNttVKtVdDodVCoVLC0tQVVVNBoNiKKItbU1NJtNJBIJXL9+Hclk8qQvmejUs23YsxFa79J1HQAQj8etubCVSsWquqlUKhgeHkY8HsfVq1cRi8VO8nKJbMHWYc/2xr1JkiQEg0FcuXIFmqZB0zTkcjnkcjkAQCAQwGeffYZ4PI5IJMKTs0SHYMuwNwzjmQEW1FtkWUYwGLR61WuaBp/PB7/fD0EQ4PP5MDg4yL16oiOwZdgD3MbpZS6X64XVullySURvhklJRNQHGPZERH3AtmHPgzRERIdn27BnXxwiosOzZdh3u112vCQiOgLbhb1hGFY3RA4xISI6HNuGvaZp6Ha7J305RES2YLuwBziWkIjoqGwZ9kREdDQMeyKiPmDrsOdWDhHR4dg67HmwiojocGwZ9mYDNM6iJSI6HNuFvTnMgvNHiYgOz3ZhD/w03MLsZc+wJyJ6PVuG/f5e9gx7IqLXs2XYExHR0TDsiYj6AMOeiKgPMOyJiPqALcNe13X2syciOgLbhb1hGNA0DZqmsfslEdEh2S7sATwT9kRE9Hq2C3vDMDiWkIjoiGwX9kREdHQMeyKiPsCwJyLqA7YMe7O1MfviEBEdju3C3myCJkkSG6ERER2S7cIeYItjIqKjsl3Ym8NL2OKYiOjwbBf2wM9bOQx6IqLDsWXYExHR0TDsiYj6gO3CniWXRERHZ7uwZ08cIqKjs03YmwHf6XSg6zoDn4joCGwT9iZVVZ8Jem7pEBG9nm3C3gx4ruqJiI7OcdIXcFTcsyei08acs2FOzzMMw2rrclp2H2wX9gA4jpCITg3DMNBut9FoNFCr1aCqKhwOB3w+H0KhECRJOulLBGDTsCciOk0qlQrW1tawuLiIcrmMSCSCs2fP4tKlSwz748AVPhGdFMMwUKlUsLGxga2tLezu7qLZbMLtdsPn88Hj8ZyaLRzA5mEPsBqHiN49XdfR6XSwurqK//3f/0U6nYbX68WHH36IS5cuIRwOQ1EUOBynJ2JPz5UcgcPhgGEYcDgcDHsieuc6nQ7u3buH+fl5lEolDAwM4OzZs5iZmUEikYDb7T7pS3yB7cJeEATr3dLhcEAUbVM9SkQ2ZxgGBEFApVLBnTt3sLS0hMHBQZw7dw7Xr19HOByGJEnWxx32NXVdt351u10AP7eGEUXxWOZ32C7sAVgBz6AnondBEAQYhgFN09BqtbC1tYWFhQVks1lr26bVaqFerwMAvF7voR/Mtlot5PN5ZLNZFItFuFwuiKIIVVWhKAqi0Sii0Sj8fv9bPey1XdizERoRnRRN05DNZrG6uopcLod2uw0AKJfLqNVqEEURoVAIU1NTCIfDr9x90HUd7XYb6XQajx49QqlUgmEY8Pl8aLfbWFtbQzwex9WrV+Hz+eDz+Y50x/A824U9gLf6homI3oS53bKzs4MnT55AFEUoioJ8Po9arYZ6vY5cLodwOIzPPvsMs7OzCIfDB4a9qqrY3d3F/Pw8bt68iVAohNnZWfh8PpRKJdy+fRsTExO4cOGCdWfxNmwZ9gx6InqXzMzRdR2lUgnFYhGxWAzxeBznz5+Hx+NBsVhEp9NBPp/Hl19+iVarhY8++ghOp/Olr1mr1fD//t//w8OHD+FyuTA2Nobp6Wm4XC5kMhnkcjmkUilEIhF4vd63ns5nu7A3a+sZ+ET0Lpkr+1arBVVVkUqlcP78eXzwwQcIh8Mol8twu924ffs2bt26BVEU8d5778Hr9T7zOmZbhVwuhy+++ALZbBb/8A//gPfeew9nzpxBvV6Hx+OxTuEODg6+8BpvwlZPOPf3xeFhKiI6CWa1TDgcRiwWg9vthsfjQTgcxtmzZzExMYFyuYy9vT3rY02GYUBVVaTTaayurqLVaiEQCGBkZASxWAyiKKJWq6HT6SAWiyESiRzbCVxbhb2u69A07YU/QCKid0EURbjdbni9Xui6jmazCU3TYBgGXC4XBgYGMDAwAFEUX9qh1wz7TCaDzc1NiKKIeDyOWCwGWZZRq9WwsbGBTCbzzGsdy7Ufy6u8A91uF6qqot1uQ9d16/e5nUNEvzRz69jhcCAWi2FgYAC7u7tYXl5GrVZ7puOlw+GA3++HoigvzSdd11EoFJDJZCBJEoLBIDweDzRNQy6Xww8//IDFxUXEYjEkk8ljC3tb7dmbhw7YE4eI3jVBEOB0OpFMJjExMYHt7W1kMhk8ffoULpcLTqcTW1tbKBaLmJycxMTExEsfzprl4/tr95vNprX1s7e3h06ng1Qqdawre1uFPcDmZ0R0chwOBxKJBFRVxcOHD5HL5bC5uQld1yHLMh4/foxisYhf/epXmJ2dhcvleubzBUGwVvOxWAyrq6toNpsoFotQVRXFYhGapsHv92NkZATxeLw/w55BT0Tvipk15laMGdROpxODg4O4fv06Njc30W63sbq6CqfTCYfDgZmZGZw5cwaJROKlK3uHw4GhoSE0m03s7u5CVVXU63Vrn1/XdetNJRqNHtsDWluFPcATtET0y9vfg2v/tou5yvb7/bh48SIikQg2NzdRqVQgiiKGh4cxOjqKZDJ5YDM0h8NhrdhzuRwqlQoCgQAEQUC320W324XH47FaJBzXAtd2YW9i6BP1tudD7l3+e3c4HHC73Wi3288cZjIf1EqSZIXxmTNnrKIRWZYhy/KBB6nMNwxRFBGLxfDpp5/CMAzIsoy1tTU8ffoUAKyKH/NzjuV7OpZXecf2v9MSUW8xDAPVahWlUska87c/JDVNgyzLiEaj8Pl8kGX52LMgEongwoUL0DQNoVAIoVAILpfrma/jcDjgcDigKMqRXtt8DafTiXA4DOCnasNGo4G9vT2IoohAIHDgG8absmXYm4N83/b4MBGdPubp0qWlJaytraFcLkOSJHg8HrjdbjSbTXi9Xpw7dw5jY2OIx+MvPAh9W4ODgwgGgwB+CnWn0/mLddltNpvI5XLY2NhAOp223gSO+/mk7cLevIVi2BP1JkEQoCgKAoEAdF23KlSmpqYwPj6Oer2OQqGAO3fuYHt7G1euXMHQ0BB8Pp/VzqBWq1mHnd72WoBXn9g3a+tlWYbL5bLKMF+XTWb7hWKxiJWVFezu7qLb7VrDmZrN5rG2hrFd2ANc2RP1MkEQEAwGMTAwAI/HAwCQJAmJRAJXr15Fo9HA/fv38e233+Lp06eQZdlqAWweTNrY2ECz2TyW0/avC3zDMODxeBAMBhGPx63WxocN+1arZd29JJNJAICiKNZB0sO8cRyGLcN+fykUEfUec3++0+lYLQWSySTC4TACgQB2d3chyzJKpRJWVlYwNTWFoaEhtNttbG5u4uuvv0alUnmra3g+X14V9oqiIJlMWtOqjvJ9hkIhnD9/HmNjY9A0DZIkwe/3IxgMHuvWkS3DHmDgE/UyVVXRaDTQaDQgSRJSqZRVcy6KIlwul7Xd8Xy/LEmS4HK5IMvyG3/9/bnyuq0gs5rGHB14lK8hSZL1kNnsDiBJkvXwl2GPn38APGRF1Huq1Sqy2SwqlQokSbLa/LZaLTSbTVQqFei6jkAggOHhYfh8PgA/lSxOTEzA6/Wi3W6/s3xwuVxQFAWhUOjQAW1WFDqdTqvyZv8e/XEvZG0b9lzRE/WucrmMdDqNcrmMQCAAn8+HbreL7e1tPHr0CI8fP4aiKEilUpicnEQgEADwU+VMKBSy9rzfVdjvHwp+1MHg+z/2l8w1W4W9ebqMq3mi3lYqlbC9vY1KpWJ1hMzn89je3sYXX3yBfD6Pq1ev4vz585iYmLDC3mxBvP/06rvKi/1f5zQuRm0T9t1uF51OB61W65k+0afxD5WI3k6lUkE2m0Wj0UC5XMby8jIajQZWV1ext7eHaDSKyclJnDlzBqFQ6KUHkLrdrrWf/yYljOZBLrM75asWmvvzSBTFY6ugOU62CXvgp8nuqqpydU/Uw1RVRbVaRa1Ws/bBzVJGc4tkf/i+LFTNU7jlchnNZhO6rh8pfM3XN98szO2Z/V//ZURRhNfrxeDg4LGfgH1btgr7/V0vT9u7JhG9PcMw0Gg0UK/XYRgGJiYmcOnSJVy6dAkejwdPnz7FH/7wBzx58gTBYBBut9tqZ/D8g9G9vT08efIEuVzO6nFzWGaP+Ww2i3q9jmAwiFAohEAgAFEUXzqBylzVJ5PJA+82TpKtwp6IepumaahWq2i323C73RgeHsb4+DhSqZTVLkGSJBQKBatj5EHj/2RZht/vh67r6HQ6r10g7v/v7XYb3W4X+XwemUwGU1NTGBwctA5M7Z+Wt//zzV71x9WW+DjZLuy5fUPUuxqNBrLZLNrtNnw+H2KxmBWwwM/P7lRVterRzdr750UiEXg8HnQ6HXS73SPtBjSbTWQyGWxsbCCXyyGVSuH8+fM4c+YMXC7XC2G/vxum2+0+9l49x8F2YQ9wiAlRLzH3xwEgm83iwYMHKBQKUBQFbrcbgiCgVqtB13Wsrq6iWCxa4wEHBgZe2vVSEAQrdI/aMkEQBNTrdbRaLXg8HsiyDEVRrOlSsixD07QDP/egN5+TZsuwZ3tjot5hGAY6nQ7K5TKePHmCBw8eoNFoIBaLoVarYWdnB6IoolqtYmtrC7IsY3p6GjMzM0gmky9dRe9vmPgmzDGDZlMzp9MJl8sFj8djvbbd2Crsny9vYuAT9YZ6vY6FhQXcvXsXKysr1kPQhw8fYmNjA51OB/V6Hbqu48qVKxgfH8fs7CwGBgasLZ7j9LLdA/MOxI5BD9gs7IGfx4WZe3UMfCJ7M/9N+/1+jI+PW3NeQ6EQvF4vRFGEqqrodDpwOByYnp7G6OgoQqGQtc3zS9gf+L2wbWzbsDeH+57GvTEiOjxBEBAIBHDt2jVcvnwZmqa99O7dDNz99e5c7B2e7cJ+v9f9oDudDmq1GiqVilVnG4vFrOG+/MtCdDqYLY1PW216L7F12AMHB745xGBnZ8dqqAQAY2NjGBkZQTQahaIott1/I6KTY+7f67pulWHuH6r0pjsO5taROdhk/3PK/b8Mwzjy17F92L9sL01VVeTzeTx48ADLy8vY3d1FLpdDs9mE3+/H7OwsPvvsM5w5c4YPeono0My8UVUVe3t7yGQyyGQyAIBAIIBkMol4PG49azjqa7fbbbTbbVSrVeRyOTQaDRiGAafTCa/Xa+1KaJqGSCRiNYA7DNuH/cu0223UajVrhqM5z1JVVTx69AiFQgGXL19GKpU61PgwIqL9arUaFhcXsbS0hEwmA1VV4ff7MTU1hbNnz2J6etoaqXgYuq5bs3V3d3dRKBSsU7z77xbMZ5aKosDlcvVu2B/2MJWqqtB1HalUCrFYDJIkQVVV7Ozs4F/+5V+wubmJYrGIdrt94A/EvE172SABvjkQ9Rfz37w5F7ZQKODBgweYn59Hq9VCtVqFYRjY3t5GvV632jscptumpmmoVCrWid2HDx+iVqs9s93cbreRy+WwuroKl8uFmZkZDA0NHel7sE3Ym3tYz/fBeNkfpNvtRjQaRSgUsg5AGIaBaDSK6elppNNp+P3+V1bzmKVe5ruq+UMz31lZBUTUX8wFoLnVMjIyYh2y2t3dxdbWFtLpNObn5/Hb3/4WsVjsUK9bqVQwNzdnNW2TZRlTU1OYmppCJBKBw+Gw7hxyuZxVrXRUtgl74KdbHbPF8at4PB5rxW7OqOx0OvB6vZidncXg4CAGBwefqdE1f5CtVgu1Wg2NRgOapsHlckEQBKiqak2xf5P9OCLqDZqmwel04le/+hXcbjecTifW19fxww8/4I9//CPy+Tza7fZrX8fMsZ2dHdy5cwcbGxuQZRmffPIJbty4geHh4WdyJhqNolKpoFwuIxgMHrn/jm3C3gzto/azb7fbKJVK2NzcxNbWFkKhECYnJxGLxZ4p8zKfcK+srOCPf/wjdF1HOByG2+2Gqqool8sYGxvDlStXnpkZSUS9b3+js2AwaA0YN/vy6LpuPVQ1RyMCr97yNadvraysYGFhAW63G1euXMHs7CxSqdQLC0pFUTA8PGw9mFUU5Ujfg23CHoBV6nTYoNd1HZVKBaurq5ifn8fq6ir8fj8EQbBW7mZom3037t+/j+XlZYTDYfh8PtTrdauE0+Fw4MKFC7/kt0hEp5hZXmkOODd3DcrlMjqdDkZGRhAKheD3+1/7Wu12G0tLS9Ye/dDQkBX0L2sB4XA4MDg4iE6n88LoxcOwVdgfhbktUy6Xsbi4iIcPH+Lx48fY2NjA8PCwVcZkVumsr6/jP//zP5HNZjEzM4OrV69iZGQEjx8/tsqsFEVBNBo98h8yEfUWs0yyUChga2sLjx49wtbWFkZHR5FIJA51599qtXDnzh08ePAAAwMDmJmZwcjIyIH5IkkSIpGIVdffs9s4R2Vuy8iyjFQqhXa7DZfLhe3tbaTTaWxtbWFqagqyLKNcLmN9fR1zc3NwuVz47LPPcOHCBXi9Xqyvr0PTNEiSBI/HA6/Xy4NYRH3OXEw2Gg2k02msra1hY2MDjUbDypxEIgEABz7fazQaWFxcxObmJv78z/8cQ0NDCIfDB75RCIIAWZatqsSjPqTt2bA3hcNhXL9+HTMzM9jc3MTe3h5WV1dRKpWQz+cRi8Wwt7eH7e1t5PN5nDlzxmqdWq1WUSqVUK1W4Xa74fV6IcvySX9LRHQKmHXvmqZB13U0m03cv38ftVoNY2Nj8Pl8UBTlhbA3g7rZbCKdTqNUKiESiSAajUKW5dcWf7xpmxdbhv1hvlnDMKzOmOahKkmSMDU1BVVV4XK5oGka2u028vk8isUiAoEAUqkU4vG4ta+fyWRQLpcxMDCAYDD4i7RTJSJ7EUURDocDkUgEFy9ehCzL8Hq9+Pbbb5HJZPD06VMkEokDt2Q0TUOr1UKj0UC320UgEIDf74fT6TxwgDrwdmd8bJVcz/ezP+gdUNd160CU2R1PkiQEAgFEo1HE43HrsIKu66jVami1WojFYtZhCF3Xkc1mrbrWeDyOcDj8Lr9dIjrFzExRFMU60ZpOp1EoFFCtVlGr1Q4sEzcXrGYHz9e1bel2u3MTUPgAABE4SURBVNZrmQ+Jj8pWYQ8crsWxuWLf3/teFEXr90VRxNjYGJLJpFXSKQgCotGoFeiZTAZra2toNBrw+XwYGhqyyqmIqD+ZC879i0lJkhCNRnHmzBmcP38emUzmta0SJEmyikQqlQqq1Sqq1SpUVX2hhUu327XKznVdh9PpPHLZJWDDsAd+bod60PCSSqWCzc1N7O7uQlVVhMNhq4dEKBSCx+OxHoa0Wi34/X4oioJ8Po90Oo3NzU1UKhWUSiXr3XtwcPBIfSiIqHeYBR/mwPN6vQ6XywW32w1Jkp4ZX6goCgYHBxEOh1+6Ajczy+v1WqXca2triMViCIVCGB4etiptzJ455huBoihvvJVsy7A3t3EOUi6XsbS0hFu3bqFUKmFsbAxDQ0NIJpMYGxtDLBbD4OAgFEWB0+lEKpXC9vY25ubmsLKygpWVFRiGYf3hxmIxxGKxN3o3JaLe0e12UalUrLYGgUAA4XAY9Xod5XIZtVrN2jlIpVKv3JpRFAUff/wxJEnC4uIiXC4XIpEI/H4/4vE4gJ8qdvL5PPL5PABgaGjojasBbRn2poMe1AaDQczMzECWZTSbTYRCIQSDQet//X6/1dPC4XAgkUjg2rVr8Hq9cLvdmJycxNramlWFE4lE4PP5jlzXSkS9pdvtolQqYXFxETs7OwCARCJhlUROTk4iEokgFou9tqrG4/Hg4sWLcDgc8Hq9qFar+P7775HJZBCLxawTumbJdyAQgNfr7a+VvemgLpjm7MrZ2Vnr4/Y/CDEfhpglUKFQCD6fD5OTk9at2Pr6OvL5PMLhsDXrkvX1RP3NbMhYr9exvr6OWq1mlXAnEglcuHABo6OjhyrRdjqdGB4ehtvths/nw8LCAtbW1rCysoKnT5/C4/EgkUhgbGwM4XDYegN4075ctgr7/VNcXtUy4flh5M8fQHj+bsD8eJfLZQ03LhQKSKfTiEajVkkUEfU3SZKQSCRw/fp1JBIJ65mf3+9HKBRCNBo9sHzyeeYD3lAohImJCQSDQZw7dw6dTgeiKMLj8VjbRIFAwAr6Ny2/tFXYS5JkBfP+lfrznt/eOewfvCAIaLVa2Nvbw+7uLkqlElRV5axaIgLwU3GI2XEyHo9D0zQ4HI5nHtYeVDhyEJfLhWg0ikAggJGREbTbbRiGAZfLZT34PUx55uvYJuzNYcSKosDv98Pn8x3qtNlR6LqOQqGA5eVl7O3tWafjOp3Oa9sqE1Hv2t/1UhRFKIryTHnly4YcHZYgCM900n3ZAarjWGy+ddgfx8muwxAEAT6fD8PDw7hx4wZ8Ph/8fv+x7aPvHyBsGAbGx8cRi8UwOjpq1d6/ST8KIuo9x323/y4m4b1V2O8/1fW6WxczTM03h8O2KTbpug63241EImG1PlAUxToUddjX2/+A9vnrM2+dotEogsGgdSfh8/kgSZI1D5KIyG7eemXfarWsod6vCkLzndBsGnTUsDdX1R6PxxoYIEmS1RrhMERRfGY61fPXZw4dMPtZmLds5rMCTqciIrt6o7A3p7JUq1W0Wi243W7Isnxg2Ou6jp2dHezu7qJSqVhT04/iZbc5R71LMI8oR6NRDA8PW4NMzNc0W4iysyUR9Zojh705Cf3x48fY2tqCw+FAKpVCJBI58NBRq9XCrVu38Pnnn+Pp06fWJPajru4P2iY67Os4nU54vV5cvHgR//RP/4TZ2Vl2sSSivnDkpKvX69jc3MT9+/exsbGB8fFxq0n/QQRBgNfrRTweh67rCAQC1v79u3zg6XA44Ha7rQEBR32zISKyqyOFvXlU+MmTJ1hYWEA6ncbw8DAURXllaDscDpw7dw7BYBD1eh2dTueNp628CfPrmOWb5qAAVtYQUb84dNgbhoFms4lisYhsNmsdOHI6ndYD0wO/yP8/KDcUCj3zQPVdhz3wc72+x+NhZQ0R9Y1Dh32n00E6ncbOzo7VE97lckFRFLjd7ldWqpiHENg1kojoZLw27M1Vca1Ww/3797GzswNFURAOhyGKojWXlVsiRESn16FW9nt7e1bIJxIJGIYBt9uNWq1mlSqyBp2I6PR6bdirqorHjx9je3sb586dgyAIWFlZgaZpzzQB4sqeiOj0OjDsdV1Hq9VCJpPBw4cPsbi4iHQ6DU3TsL6+jqdPn1ojsl63jdNoNHD79m08ePAAqqqeWFMxWZYxPDyM8fFxnDlzBsFgkHckRNQXDgz7druNYrGI7e1t69Tr9vY2SqUSNjY2UKvVMDIyYrXffFXNuqqqWF5exhdffIFms/lOw35/ozbzQJUkSRgYGOBMWSLqG68M+3K5jHw+j5mZGVy/fh2yLGNrawu3bt3C0tISAFhtOV+1snc6nZidnYWu62+1st/f2uBNGqq53W6kUimMjo6+9mwAEVEvOTDsFxcXUa/XIUkSxsbGMDIyYjUDe/DgAQRBQKfTgaqqr/0iTqcTU1NTiEQib9QEzbS/xcJR+0ebjdPMWY7mDFoion5wYNj/3//9HwYHBzE7O4t4PA5FUdBqtayZi5VKBYqioFwuo91uW50hX8bpdCKVSiGZTD7z+4c9VGWGfKfTsbpmmnX+5uSqV30u8OKbA6dPEVE/OTDsv/32W1y4cAFTU1OQZRmqquLu3bv4+uuv8eTJExQKBaiqirm5OcTjcZw7d+6VTcWO40FotVpFNptFPp9HIBDAxMTEgc3XiIjoZ68svTR7uUuSBFVVsbGxgXQ6DZfLhUQiAZ/Ph0qlgt3dXczMzPyiF9put7Gzs4OlpSU8efIEQ0NDiEaj1oxGIiI62IFh/8///M/w+/2Ix+PweDwwDAOffvoprl+/bvWjN/fAQ6HQL94KQdM05PN5bG1tYXt7G06nE/V63epgSUREBzsw7K9fv/7C742MjGBkZOQXvaCDdLtdNJtNVKtV1Go1NJtNDgInIjok25woMlsUm9tK5hxZPmQlIno924T9cXiT6VhERL3AtjP5XreqNwzDmoa1f6vH4XAc+W7AfA2zF7+u6xAEAU6n85kqI/Pug4jotLFl2L9uC6fdbqNaraJSqaBer0PTNPj9fkSjUfh8vkMHsq7r6HQ6qNfrKBaLaDabUFXVOqDldDrhdrvhdrvhcrngcrng9Xo5FIWITh3bhb0ZtPv37U3mqntnZwebm5vWWQC3241EIgG/33/oB7qapqFWqyGdTmNvbw/VahW6rkOSJKu2v91uW+2eBwcHkUgkOAGLiE4l24U9AOu0rhn4AKwTtuVyGffu3cN3330HXdcRj8dx9uzZIw1Y6Xa7aDQa2N7exs2bN5FOpxEOh5FIJDA4OAifz4dGo4G1tTVsb2+j3W7jww8/RCwW+yW/bSKiN2a7sN9flfP8yn5raws3b97E+vo6NE3D0NAQzpw5gzNnziAWi0FRlNe2VjAMA61WC/Pz8/j++++RzWahKArGx8cxNDSESCQCj8djlX/WajVks1nrjoPVQUR0Gtku7E379+y73S7a7TYePXqEP/zhDxgYGMDvf/97vP/++xgfH4fH4zn0Pn2z2UQmk8GXX36Jr776Cu+99x4++OADXL9+HeFw2Po4TdMQiUQQDAaxtraGRCIBt9vNsCeiU8m2YW8y99afPHmC1dVVKIqCqakpXLp0CSMjI/B6vYd+rW63i7W1NXz++edYXV3FwMAAZmZmMDk5+ULve4fDAa/Xi2QyCYfDgcHBQc7iJaJTy7Zhb4aqqqooFAr48ccfsb6+jmQyidHRUfj9fpTLZTSbTati5lVhbBgGNE3D2toa/ud//gc+nw8ffvghZmdnMTg4+MLnme0iwuEwFEWxpnYx7InoNLJt2AM/Bb6qqigWi1hYWMDm5iZGR0dRrVbx3XffoVAoAABSqRRmZmYwPT0Nt9v90i0dXdfRbreRzWaxtLSEGzdu4OzZs4jH4y+dsSsIAhwOB3w+n/UsgHv2RHRa2Tbs96/sq9Uqdnd30Wg0kEwmEYvFIIoims0misUiMpkMNE1DOBzGwMAA3G73C6+nqirK5TJyuRyKxSI8Hg9GRkYQCARe2rp5fwmoeS08nUtEp5Vtw96kqiparRba7TY8Hg9mZmYwMTEBURQRi8WwuLiI+/fvQ5Zlaw//+bDvdrtotVrY29tDsViEKIrw+/0IhUIvfWMwvWy1T0R0Gtkq7F/W28ZsZdDtduHz+TAyMoLR0VEAgKIo6HQ62NnZQavVwuPHj5FMJhGNRl94DXM7qNVqwe/3w+/3w+Vy8YAUEfUE24S9GfRmvxvT/rp7WZYRCAQQDAYhCAJkWbYOR+3s7CCTyaBerx/4+sBPrRhkWYYoii98rec/3mydIIriCzX/RESnia26dmmaBk3Tnglhs32BGc7tdhuqqsIwDKtXTSAQgNfrtQamP88cwjI6OopAIICnT58im82i0+kcGPbdbhelUgnlchmapnG/nohONVut7HVdt4LcDFdZlhEKhTA+Po5ms4nl5WXIsoxkMglN01CpVNBoNKAoijVK8WXcbjfi8TiGhoYQi8VQKBRw7949aJqGRCJhvaFomoZ2u41ms4lmswmPx/Mu/xiIiN6IbcJeEATouv7Myt5sQpZKpfBnf/ZnePjwIW7duoVOp4Nf//rXqFQqWF1dxfb2NsbGxnDt2jUMDAy89PVFUYTH48H09DR+//vfY2dnB//xH/+BarVqfZ7D4UC9Xkc6nUan00EymYQsy8/06CEiOo1sE/b79+v3lzw6HA4Eg0GcP38eoihibm4O1WoVS0tL1rbP+Pg4JicnDyy7BH6umx8bG8Nf/uVfYmlpCaVSCaVSCSsrKygUClb7YkEQ4Pf74fP5DqzbJyI6TWwV9gCsoSHmaVVBEOB2uzE0NGT1mM/lcshkMpBlGZFIBOfPn8fg4OAre9eYrzU4OIiPPvoI4+PjSKfTKBQKyOfzaDabCAaDiEajiMfjCIVC8Hq9Lz1wRUR02tgm7IGfAv/5w0zm/xdFEfF4HA6HA6VSCY1GA7Isw+/3Wy0NnE7nK4NZFEW43W44nU54PB7EYjGUy2W0Wi0IggCPx2PV35unZrmqJyI7sFXYm8xSR+Dng0yCIEBRFMiyjHA4jE6nA4fDAafTaT1cPcprh0Ih+Hw+xGIxqKr6zOASc5+eiMgubBn2wM/bOs/X3JvlleaWzetm1b6KJEnweDzweDzWXQUAruaJyHZsG/avclxh/DZvFEREpwmXqEREfYBhT0TUBxj2RER9gGFPRNQHbBv2b1tpQ0T0Kr2WL7YNeyIiOjzblV6ag8FVVYWqquh0OhAEgS2GiejYdDodqKoKTdOg6/pJX86xsFXYC4KAbreLZrOJQqGAdDqNdrsNl8sFgDNgiejtCYKARqOBTCaDSqVitVW3O1uFvWEYaLVa2NnZQblcRq1Wg8/ng9PptP47EdHbEAQBrVYL5XLZ6p7bC4Fvm7AXRRFerxfBYBCKokBVVWQyGZRKJfapIaJjpaoqWq0WJElCKBRCKBSy/aAi24S90+lEIpHA7OwsFEVBs9m0ZsWyVw0RHadut2v9ikQimJycRCQSsXXW2CbsHQ4HBgcHIQgCkskkOp3OC50viYiOw/4Z1z6fD6lU6sDBR3YhGDbZiOp2u1YFjq7r6Ha7J31JRNSjzC63oihCkiQ4HA7rl13ZJuwBPDNo3EaXTUQ29fzBKjvvItgq7ImI6M3Y92kDEREdGsOeiKgPMOyJiPoAw56IqA8w7ImI+gDDnoioDzDsiYj6AMOeiKgPMOyJiPoAw56IqA8w7ImI+gDDnoioDzDsiYj6AMOeiKgPMOyJiPoAw56IqA8w7ImI+gDDnoioDzDsiYj6AMOeiKgPMOyJiPoAw56IqA8w7ImI+gDDnoioDzDsiYj6AMOeiKgPMOyJiPoAw56IqA8w7ImI+sD/BwjJ9yiOxH8WAAAAAElFTkSuQmCC)
physics-General
Maths-
Solution of differential equation
is
Solution of differential equation
is
Maths-General
physics-
In the given figure, a hollow spherical capacitor is shown. The electric field will not be zero at
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)
In the given figure, a hollow spherical capacitor is shown. The electric field will not be zero at
![](data:image/png;base64,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)
physics-General