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Physics-

General

Easy

Question

$n$ identical condensers are joined in parallel and are charged to potential $V$ . Now they are separated and joined in series. Then the total energy and potential difference of the combination will be

Energy and potential difference remain same
Energy remains same and potential difference is $n V$
Energy increases $n$ times and potential difference is $n V$
Energy increases $n$ times and potential difference remains same

The correct answer is: Energy remains same and potential difference is $n V$

According to energy conservation, energy remains the same
Þ $U subscript p a r a l l e l end subscript equals U subscript s e r i e s end subscript$ Þ $fraction numerator 1 over denominator 2 end fraction left parenthesis n C right parenthesis V to the power of 2 end exponent equals fraction numerator 1 over denominator 2 end fraction open parentheses fraction numerator C over denominator n end fraction close parentheses V ´ to the power of 2 end exponent$ Þ V' = nV

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