Asked by JASKAMAL KAUR | 3rd Jun, 2015, 01:27: PM

Expert Answer:

begin mathsize 12px style Consider space straight C space be space the space capacitance space of space capacitor. For space parallel space combination comma space straight C subscript straight p equals straight C plus straight C equals 2 straight C For space series space combination comma space straight C subscript straight s equals fraction numerator straight C cross times straight C over denominator straight C plus straight C end fraction equals straight C over 2 Consider space straight V subscript straight p space and space straight V subscript straight s space be space potential space difference space applied comma space when space capacitors space are space in space parellel space and space series space combination space respectively. So space that space energy space stored space in space both space the space cases space becomes space equal. straight U subscript straight p equals 1 half straight C subscript straight p straight V subscript straight p superscript 2 equals 1 half cross times 2 straight C cross times straight V subscript straight p superscript 2 equals CV subscript straight p superscript 2 straight U subscript straight s equals 1 half straight C subscript straight s straight V subscript straight s superscript 2 equals 1 half cross times straight C over 2 cross times straight V subscript straight s superscript 2 equals straight C over 4 straight V subscript straight s superscript 2 because straight U subscript straight p equals straight U subscript straight s rightwards double arrow CV subscript straight p superscript 2 equals straight C over 4 straight V subscript straight s superscript 2 fraction numerator straight V subscript straight p superscript 2 over denominator straight V subscript straight s superscript 2 end fraction equals 1 fourth straight V subscript straight p over straight V subscript straight s equals 1 half The space ratio space is space 1 colon 2 end style

Answered by Priyanka Kumbhar | 4th Jun, 2015, 08:57: AM

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