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Electrostatic Potential and Capacitance · Question 73

AIPMT 2001MCQEasy📈 Topic in 50% papers+4−1
1

Energy per unit volume for a capacitor having area A and separation d kept at potential difference V is given by

  1. 12 0 V2d2
  2. 12 0 V2d2
  3. 12CV2
  4. Q22C

Answer

(1) 12 0 V2d2

Solution

Energy stored: U = 12CV2, with C = 0Ad

U = 12 0AdV2

Volume between the plates = Ad

u = UAd

= 12 0 V2d2

(i.e. u = 12 0E2 with E = Vd; options (3) and (4) give total energy, not energy per unit volume.)

Answer: (1)

AIPMT 2001

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2

A capacitor is charged with a battery and energy stored is U. After disconnecting battery another capacitor of same capacity is connected in parallel to the first capacitor. Then energy stored in each capacitor is

  1. U/2
  2. U/4
  3. 4U
  4. 2U
AIPMT 2000

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