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QAIPMT-2008-Ph-2269: NEET 2008 Physics - Class 12 AIPMT-2008-Ph-2269 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

Multiple Choice Options

A $\frac{1}{2}\epsilon_0 E^2$
B $\frac{E^2Ad}{\epsilon_0}$
C $\frac{1}{2}\epsilon_0 E^2Ad$
D $\epsilon_0 EAd$

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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