Electrostatic Potential and Capacitance · Question 10

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

Two hollow conducting spheres of radii R1 and R2 (R1 >> R2) have equal charges. The potential would be

1. More on bigger sphere
2. More on smaller sphere
3. Equal on both the spheres
4. Dependent on the material property of the sphere

A capacitor of capacitance C = 900 pF is charged fully by 100 V battery B as shown in figure (a). Then it is disconnected from the battery and connected to another uncharged capacitor of capacitance C = 900 pF as shown in figure (b). The electrostatic energy stored by the system (b) is [figure]

1. 4.5 10-6 J
2. 3.25 10-6 J
3. 2.25 10-6 J
4. 1.5 10-6 J