Verified Solution • 2025–26 Session moderate

QAIPM-2012-Ph-1656: NEET 2012 Physics - Class 12 AIPM-2012-Ph-1656 Solution: A parallel plate capacitor has a uniform electric field E in…

A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A the energy stored in the capacitor is

\frac{1}{2}\epsilon_0 E^2

\frac{\epsilon_0 E^2 Ad}{2}

\frac{1}{2}\epsilon_0 E^2 Ad

\epsilon_0 EAd

Multiple Choice Options

A ${1 \over 2}{\varepsilon _0}{E^2}$ 2 1 _ _ 0 _ E 2
B ${{{E^2}Ad} \over {{\varepsilon _0}}}$ _ 0 _ E 2 A d _
C ${1 \over 2}{\varepsilon _0}{E^2}Ad$ 2 1 _ _ 0 _ E 2 A d
D ${\varepsilon _0}EAd$ _ 0 _ E A d

Step-by-Step Verified Solution

Capacitance of a parallel plate capacitor is C = _ 0 A d ...(i) Potential difference between the plates is V = Ed ...(ii) The energy stored in the capacitor is U = 1 2 C V 2 = 1 2 ( _ 0 A d ) ( E d ) 2 (Using (i) and (ii)) = 1 2 _ 0 E 2 A d

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