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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Three charges are placed along $x$ -axis at $x = - a,$ $x = 0$ and $x = a$ as shown in the figure. The potential energy of the system is

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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>Assignment>Q 18

A positively charged ring is in

y - z

plane with its centre at origin. A positive test charge

q_{0}

, held at origin is released along

x

axis, then its speed

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 19

A point charge $q$ is held at the centre of a circle of radius $r . B, C$ are two points on the circumference of the circle and $A$ is a point outside the circle. If $W_{A B}$ represents work done by electric field in taking a charge $q_{0}$ from $A$ to $B$ and $W_{AC}$ represents the workdone from $A$ to $C,$ then

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 20

Two metal spheres

A

and

B

of radii

a & b (a < b)

respectively are at a large distance apart. Each sphere carries a charge of

100 μ C .

The spheres are connected by a conducting wire, then

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 21

Four charges

+ q, - q, + q, - q

are placed in order on the four consecutive corners of a square of side

L

. The work done in inter changing the position of any two neighbouring charges of the opposite sign is

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 22

The charge $q$ is fired towards another charged particle $Q$ which is fixed, with a speed $v$ . It approaches $Q$ up to closest distance $r$ and then returns. If $q$ were given a speed $2 v$ , the closest distance of approach would be

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 23

A pellet carrying charge of 0.5 coulombs is accelerated through a potential of 2,000 volts. It attains a kinetic energy equal to

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 25

In a region of space, suppose there exists a uniform electric field

\vec{E} = 10 \hat{i} (V m^{- 1})

. If a positive charge moves with a velocity

\vec{v} = - 2 \hat{j}

, its potential energy at this moment

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 24

There is an electric field

E

x -

direction. If the work done on moving a charge of

0.2 C

through a distance of

2 m

along a line making an angle

60 °

with

x -

axis is

4 J

then what is the value of

E

Three charges are placed along x-axis at x=-a, x=0 and x=a as shown in the figure. The potential energy of the system is

Important Questions on Electrostatic Potential and Capacitance

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Three charges are placed along $x$ -axis at $x = - a,$ $x = 0$ and $x = a$ as shown in the figure. The potential energy of the system is