Electrostatic Potential and Capacitance

Three capacitors each of capacity 4 are to be connected in such a way that the effective capacitance is 6 . This can be done by

1. connecting all of them in series
2. connecting them in parallel
3. connecting two in series and one in parallel
4. connecting two in parallel and one in series

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

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.

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

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

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