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સ્થિતિ વિદ્યુતસ્થિતિમાન અને કૅપેસિટન્સ

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ભૌતિક વિજ્ઞાન ધોરણ 12 સેમિસ્ટર 3

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ભૌતિક વિજ્ઞાન

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R1 અને R2 ત્રિજ્યાના બે ગોળાઓને વિદ્યુતભારિત કરીને એકબીજા સાથે તારથી જોડવામાં આવે છે. આથી ગોળાઓ પરના વિદ્યુતક્ષેત્રનો ગુણોત્તર ................. છે.
  • fraction numerator bold R subscript bold 2 superscript bold 2 over denominator bold R subscript bold 1 superscript bold 1 end fraction
  • fraction numerator bold R subscript bold 1 superscript bold 2 over denominator bold R subscript bold 2 superscript bold 2 end fraction
  • bold R subscript bold 2 over bold R subscript bold 1
  • bold R subscript bold 1 over bold R subscript bold 2

એક ધાતુનો નક્કર ગોળો સમાન વિદ્યુત ક્ષેત્રમાં મૂકવામાં આવે છે તો નીચેની આકૃતિમાંથી કઈ ક્ષેત્રરેખા સાચી છે ?
  • 1

  • 2

  • 3

  • 4


20 cm અને 10 cm ત્રિજ્યાની બે ધાતુની કવચોને વાહક તાર વડે જોડતાં સામાન્ય સ્થિતિમાન કેટલું થાય ? દરેક કવચ પર bold 150 bold space bold μC ધન વિદ્યુતભાર છે.
  • bold 9 bold space bold cross times bold space bold 10 to the power of bold 6 bold space bold V
  • bold 4 bold. bold 5 bold space bold cross times bold space bold 10 to the power of bold 6 bold space bold V
  • bold 1 bold. bold 8 bold space bold cross times bold 10 to the power of bold 7 bold space bold V
  • bold 13 bold. bold 5 bold space bold cross times bold space bold 10 to the power of bold 6 bold space bold V

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1 cm અને 2 cm ત્રિજ્યાવાળા બે ગોળાઓને અનુક્રમે bold 10 to the power of bold minus bold 2 end exponent bold space bold C bold space bold અને bold space bold 5 bold space bold cross times bold space bold 10 to the power of bold minus bold 2 end exponent bold space bold C વિદ્યુતભાર વડે વિદ્યુતભારિત કરેલ છે. જો આ ગોળાઓને તાર વડે જોડવામાં આવે તો નાના ગોળા પરનો વિદ્યુતભાર ગણો.
  • bold 3 bold space bold cross times bold space bold 10 to the power of bold minus bold 2 end exponent bold space bold C
  • bold 10 to the power of bold minus bold 2 end exponent bold space bold C
  • bold 4 bold space bold cross times bold space bold 10 to the power of bold minus bold 2 end exponent bold space bold C
  • bold 2 bold space bold cross times bold space bold 10 to the power of bold minus bold 2 end exponent bold space bold C

D.

bold 2 bold space bold cross times bold space bold 10 to the power of bold minus bold 2 end exponent bold space bold C

Tips: -

વિદ્યુતભારનું વિતરણ ગોળાની ત્રિજ્યાના સમપ્રમાણમાં હોવાથી bold q bold space bold proportional to bold space bold R

bold therefore bold space bold q subscript bold 1 over bold q subscript bold 2 bold space bold equals bold space bold R subscript bold 1 over bold R subscript bold 2

bold space bold જ્યાં bold space bold q subscript bold 1 bold space bold equals bold space bold 10 to the power of bold minus bold 2 end exponent bold space bold C bold space bold અને bold space bold q subscript bold 2 bold space bold equals bold space bold 5 bold space bold cross times bold space bold 10 to the power of bold minus bold 2 end exponent bold space bold C

bold હવે bold space fraction numerator bold q subscript bold 1 over denominator bold q subscript bold 1 bold space bold plus bold space bold q subscript bold 2 end fraction bold space bold equals bold space fraction numerator bold R over denominator bold R subscript bold 1 bold space bold plus bold space bold R subscript bold 2 end fraction


તાર વડે જોડતાં નાના ગોળા પરનો વિદ્યુતભાર

bold q subscript bold 1 bold space bold equals bold space fraction numerator bold R subscript bold 1 bold space open parentheses bold q subscript bold 1 bold space bold plus bold space bold q subscript bold 2 close parentheses over denominator bold R subscript bold 1 bold space bold plus bold space bold R subscript bold 2 end fraction bold space bold equals bold space fraction numerator bold 10 to the power of bold minus bold 2 end exponent bold space open parentheses bold 10 to the power of bold minus bold 2 end exponent bold space bold plus bold space bold 5 bold space bold cross times bold space bold 10 to the power of bold minus bold 2 end exponent close parentheses over denominator open parentheses bold 10 to the power of bold minus bold 2 end exponent bold space bold plus bold space bold 2 bold space bold cross times bold space bold 10 to the power of bold minus bold 2 end exponent close parentheses end fraction

bold q subscript bold 1 bold space bold equals bold space fraction numerator bold 6 bold space bold cross times bold space bold 10 to the power of bold minus bold 2 end exponent over denominator bold 3 end fraction bold space bold equals bold space bold 2 bold space bold cross times bold space bold 10 to the power of bold minus bold 2 end exponent bold space bold C


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હવામાં એકબીજાથી 1 m અંતરે રહેલા બે બિંદુવત્ ઋણ વિદ્યુતભારોના તંત્રની સ્થિતિઊર્જા ............... દરેક વિદ્યુતભારનું મૂલ્ય bold 2 bold space bold μC છે. <pre>uncaught exception: <b>Http Error #404</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php line 61<br />#0 [internal function]: com_wiris_plugin_impl_HttpImpl_0(Object(com_wiris_plugin_impl_HttpImpl), NULL, 'http://www.wiri...', 'Http Error #404')
#1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/php/Boot.class.php(769): call_user_func_array('com_wiris_plugi...', Array)
#2 [internal function]: _hx_lambda->execute('Http Error #404')
#3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/haxe/Http.class.php(532): call_user_func_array(Array, Array)
#4 [internal function]: haxe_Http_5(true, Object(com_wiris_plugin_impl_HttpImpl), Object(com_wiris_plugin_impl_HttpImpl), Array, Object(haxe_io_BytesOutput), true, 'Http Error #404')
#5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/php/Boot.class.php(769): call_user_func_array('haxe_Http_5', Array)
#6 [internal function]: _hx_lambda->execute('Http Error #404')
#7 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php(27): call_user_func_array(Array, Array)
#8 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/haxe/Http.class.php(444): com_wiris_plugin_impl_HttpImpl->onError('Http Error #404')
#9 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/haxe/Http.class.php(458): haxe_Http->customRequest(true, Object(haxe_io_BytesOutput), NULL, NULL)
#10 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php(40): haxe_Http->request(true)
#11 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(80): com_wiris_plugin_impl_HttpImpl->request(true)
#12 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array)
#13 {main}</pre>
  • bold 3 bold. bold 6 bold space bold cross times bold space bold 10 to the power of bold minus bold 2 end exponent bold space bold J
  • bold 3 bold. bold 6 bold space bold J
  • bold 3 bold. bold 6 bold space bold cross times bold space bold 10 to the power of bold minus bold 3 end exponent bold space bold J
  • bold 36 bold space bold J

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