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Discharging of Capacitors

The capacitan...

Question

The capacitance of a charged condenser is C and energy stored on account of charge on it is U, then the quantity of charge on the condenser will be :

A

\sqrt{2 U C}

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B

\sqrt{\frac{U C}{2}}

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C

2 U C

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D

zero

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Solution

The correct option is A $\sqrt{2 U C}$
The energy stored in the condenser is
$U = \frac{q^{2}}{2 C}$
so the charge on the condenser is
$q = \sqrt{2 U C}$

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