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Electrostatic Potential and Capacitance

  1. 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 :
    1. 1
      ε0
      2
    2. E²Ad/ε0
    3. 1
      ε0E²Ad
      2
    4. ε0EAd
Correct Option: C

​The energy stored by a capacitor ​​​​​...(i) ​

U =
1
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 =
0
d

Substituting the value of C in equation (i) ​
U =
1
0
(Ed)² =
1
0E²d
2d2



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