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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 :
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1 ε0E² 2 - E²Ad/ε0
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1 ε0E²Ad 2 - ε0EAd
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Correct Option: C
The energy stored by a capacitor ...(i)
U = | CV²...........(i) | |
2 |
V is the p.d. between two plates of the capacitor. The capacitance of the parallel plate capacitor V = E.d.
C = | ||
d |
Substituting the value of C in equation (i)
U = | (Ed)² = | Aε0E²d | |||
2 | d | 2 |