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>>Energy Stored in Capacitor
>> $The energy stored in a capacitor of capa$

Question

The energy stored in a capacitor of capacitance $C$ having a charge $Q$ under a potential $V$ is

A

$\frac{1}{2} Q^{2} V$

B

$\frac{1}{2} C^{2} V$

C

$\frac{1}{2} \frac{Q ^{2}}{V}$

D

$\frac{1}{2} Q V$

E

$\frac{1}{2} C V$

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Solution

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Correct option is D)

$E = \frac{1}{2} C V^{2} \times \frac{C}{C}$
$Q = C V$
$\Rightarrow E = \frac{1}{2} \frac{Q ^{2}}{C}$

$\Rightarrow E = \frac{1}{2} Q V$

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