Electrostatic Potential and Capacitance

A thin spherical shell is charged by some source. The potential difference between the two points C and P (in V) shown in the figure is: (Take 14 0 = 9 109 SI units) [figure]

1. 3 105
2. 1 105
3. 0.5 105
4. Zero

In the following circuit, the equivalent capacitance between terminal A and terminal B is : [figure]

1. 2
2. 1
3. 0.5
4. 4

In the light of the above statements, choose the correct answer from the options given below:

1. Both A and R are true and R is the correct explanation of A.
2. Both A and R are true and R is NOT the correct explanation of A.
3. A is true but R is false.
4. A is false but R is true.

If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then Choose the most appropriate answer from the options given below:

1. A, B and E only
2. A, C and E only
3. B, D and E only
4. A, B and C only

A 12 pF capacitor is connected to a 50 V battery, the electrostatic energy stored in the capacitor in nJ is

1. 15
2. 7.5
3. 0.3
4. 150

The capacitance of a capacitor with charge q and a potential difference V depends on

1. both q and V
2. the geometry of the capacitor
3. q only
4. V only

The value of electric potential at a distance of 9 cm from the point charge 4 10-7 C is [Given 14 0 = 9 109 N m2 C-2]:

1. 4 102 V
2. 44.4 V
3. 4.4 105 V
4. 4 104 V

The equivalent capacitance of the system shown in the following circuit is: [figure]

1. 3
2. 6
3. 9
4. 2

An electric dipole is placed as shown in the figure. [figure] The electric potential (in 102 V) at point P due to the dipole is ( 0 = permittivity of free space and 14 0 = K) :

1. ( 58 ) qK
2. ( 85 ) qK
3. ( 83 ) qK
4. ( 38 ) qK

The angle between the electric lines of force and the equipotential surface is

1. 0
2. 45
3. 90
4. 180