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Q.

In a parallel plate capacitor, the distance between the plates is d and potential difference across the plates is V. Energy stored per unit voume between the plates of capacitor is

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a

$\frac{1}{2} \frac{V^{2}}{ε_{0} d^{2}}$

b

$\frac{1}{2} ε_{0} \frac{V^{2}}{d}$

c

$\frac{1}{2} ε_{0} \frac{V^{2}}{d^{2}}$

d

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

answer is B.

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Detailed Solution

Energy stored per unit of volume

$\frac{1}{2} ε_{0} E^{2} = \frac{1}{2} ε_{0} {(\frac{V}{d})}^{2} = \frac{1}{2} ε_{0} \frac{V^{2}}{d^{2}} (∵ E = \frac{V}{d})$

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