A parallel plate capacitor with air between the plates has a capacitance of 8 pF ( 1 pF = 10 - 12 F ) . What will be the capacitance of the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6 ?

C = ε ο A d C = 8 p F = 8 × 10 - 12 F ε ο A d = 8 × 10 - 12 L e t t h e n e w c a p a c i tan c e b e C ' C ' = ε o k A d ' , n o w , k = 6 , d ' = d / 2 ∴ C ' = ε o × 6 × A d / 2 = 12 × ε o A d = 12 × 8 × 10 - 12 = 96 × 10 - 12 F = 96 p F .

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>EXERCISE>Q 1

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Figure shows four points $A, B, C$ and $D$ in uniform electric field $\vec{E}$ . The lines $A B$ and $C D$ are perpendicular and $B C$ and $A D$ are parallel to the field lines. If $V_{A}, V_{B}, V_{C}$ and $V_{D}$ are electric potential at $A, B, C$ and $D$ , choose the correct option.

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Important Questions on Electrostatic Potential and Capacitance

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>EXERCISE>Q 2

Electric potential at a point

P, r

distance away due to a point charge

q

at point

A

is

V

. If twice of this charge is distributed uniformly on the surface of a hollow sphere of radius

4 r

with centre at point

A

, the potential at point

P

now is

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>EXERCISE>Q 3

The variation of potential with distance $R$ from a fixed point is as shown below. A charge $- q$ is put at $R = 3 m$ and released. The charge will

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>EXERCISE>Q 4

An electric dipole is placed in a uniform electric field. To have maximum potential energy, angle between dipole moment and electric field is

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>EXERCISE>Q 5

The work done in slowly moving an electron of charge $e$ and mass $m$ from $A$ to $B$ along a semicircular path (as shown in the figure) in vertical plane in the field of charge $Q$ is

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>EXERCISE>Q 6

Two point charges of

+ 1.0 μ C

are kept stationary

2 m

apart. How much work is needed to be done to bring, them

1 m

apart?

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>EXERCISE>Q 7

An

α

-particle is accelerated from rest through a potential of

1 V

volts. Its final kinetic energy is

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>EXERCISE>Q 8

In an arrangement of two concentric conducting shells, with centre at origin and radii

a

and

b

(a < b)

, charges

Q_{1}

and

Q_{2}

are given to inner and outer shell, then the potential

V

at a distance

r

from the origin is

(r < a)

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>EXERCISE>Q 9

Two concentric conducting spheres of radii $R$ and $2 R$ are carrying charges $Q$ and $- 2 Q$ respectively. If the charge, on inner sphere is doubled, the potential difference between the two spheres will

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