A condenser of capacity C is charged to a potential difference of V₁. The plates to the condenser are then connected to an ideal inductor of inductance L. The current through the inductor when the potential difference across the condenser reduces to V₂ is

$open parentheses fraction numerator straight C left parenthesis straight V subscript 1 minus straight V subscript 2 right parenthesis squared over denominator straight L end fraction close parentheses to the power of 1 divided by 2 end exponent$
$fraction numerator straight C left parenthesis straight V subscript 1 superscript 2 minus straight V subscript 2 superscript 2 right parenthesis over denominator straight L end fraction$
$fraction numerator straight C space left parenthesis straight V subscript 1 superscript 2 space plus straight V subscript 2 superscript 2 right parenthesis over denominator straight L end fraction$
$open parentheses fraction numerator straight C space left parenthesis straight V subscript 1 superscript 2 minus straight V subscript 2 superscript 2 right parenthesis over denominator straight L end fraction close parentheses to the power of 1 divided by 2 end exponent$

Solution

open parentheses fraction numerator straight C space left parenthesis straight V subscript 1 superscript 2 minus straight V subscript 2 superscript 2 right parenthesis over denominator straight L end fraction close parentheses to the power of 1 divided by 2 end exponent

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