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Electrostatic Potential and Capacitance · Question 70

AIPMT 2002MCQMedium📈 Topic in 0% papers+4−1
1

Identical charges (-q) are placed at each corner of a cube of side b then electrostatic potential energy of charge (+q) which is placed at centre of cube will be

  1. -4 2q2 0 b
  2. -8 2q2 0 b
  3. -4q2 3 0 b
  4. 8 2q24 0 b

Answer

(3) -4q2 3 0 b

Solution

Distance of each corner from the centre = 3b2 (half the body diagonal)

Potential energy of +q with the 8 charges:

U = 8 14 0 (+q)(-q) 3b/2

= - 16q24 3 0 b

U = -4q2 3 0 b

Answer: (3)

AIPMT 2002

Keep practising — Electrostatic Potential and Capacitance

2

Some charge is being given to a conductor. Then its potential is

  1. maximum at surface
  2. maximum at centre
  3. remains same throughout the conductor
  4. maximum somewhere between surface and centre.
AIPMT 2002
3

A capacitor of capacity C1 charged up to V volt and then connected to an uncharged capacitor of capacity C2. The final potential difference across each will be

  1. C1VC1+C2
  2. C2VC1+C2
  3. (1- C2C1 )V
  4. (1+ C2C1 )V
AIPMT 2002
4

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
AIPMT 2001
5

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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