The energy stored in a capacitor of capacitance C having a charge Q under a potential V iscfrac-1-2-Q-2Vcfrac-1-2-C-2Vcfrac-1-2-cfrac-Q-2-V-cfrac-1-2-QVcfrac-1-2-CV

E-12CV2-xD7-CCQ-CV-x21D2-E-12Q2C-x21D2-E-12QV

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The energy stored in a capacitor of capacitance $C$ having a charge $Q$ under a potential $V$ is
$\frac{1}{2} Q^{2} V$
$\frac{1}{2} C^{2} V$
$\frac{1}{2} \frac{Q^{2}}{V}$
$\frac{1}{2} Q V$
$\frac{1}{2} C V$

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

\frac{1}{2} Q V

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

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

\frac{1}{2} C V

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Solution

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

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The energy stored in a capacitor of capacitance C having a charge Q under a potential V is12Q2V12C2V12Q2V12QV12CV

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The energy stored in a capacitor of capacitance $C$ having a charge $Q$ under a potential $V$ is
$\frac{1}{2} Q^{2} V$
$\frac{1}{2} C^{2} V$
$\frac{1}{2} \frac{Q^{2}}{V}$
$\frac{1}{2} Q V$
$\frac{1}{2} C V$

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