The diagrams below show regions of equipotential. A positive charge is moved from A to B in each diagram.

In all the four cases the work done is the same.

Maximum work is required to move q in figure (c).

Minimum work is required to move q in figure (a).

Maximum work is required to move q in figure (b).

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Two different equipotential surfaces $S_{1}$ and $S_{2}$ at electric potential $V_{1}$ and $V_{2}$ respectively are as shown in figure. The work done in moving a charge $q$ from $P$ to $Q$ is

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Important Questions on Electrostatics

EASY

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

A metallic sphere is kept in between two oppositely charged plates. The most appropriate representation of the field lines is

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Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

Directions: Each of the following sentences in this section has a blank space and four words or group of words given after the sentence. Select the word or group of words you consider most appropriate for the blank space and indicate your response on the Answer Sheet accordingly.

Every rash driver becomes a ____ killer.

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

Consider a cube of uniform charge density,

ρ

. The ratio of the electrostatic potential at the center of the cube to that at one of the corners of the cube is,

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at

P

, in the region, is found to vary between the limits

589.0 V

589.8 V

. What is the potential at a point on the sphere whose radius vector makes an angle of

60 °

with the direction of the field?

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

A charge

Q

is distributed over three concentric spherical shells of radii

a, b, c (a < b < c)

such that their surface charge densities are equal to one another.

The total potential at a point at distance

r

from their common centre, where

r < a,

would be:

EASY

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

An electron with an initial speed of

4 .0 \times 10^{6} m s^{- 1}

is brought to rest by an electric field. The mass and charge of an electron are

9 \times 10^{- 31} kg

and

1.6 \times 10^{- 19} C

, respectively. Identify the correct statement.

EASY

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

An electric field

\vec{E} = (25 \hat{i} + 30 \hat{j}) N C^{- 1}

exists in a region of space. If the potential at the origin is taken to be zero then the potential at

x = 2 m

y = 2 m

is:

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

A certain p-n junction having a depletion region of width

20 μm,

was found to have a breakdown voltage of

100 V

. If the width of the depletion region is reduced to

1 μm

during its production, then it can be used as a zener diode for voltage regulation of:

EASY

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

Two sentences are given below and you are required to find the correct sentence which combines both the sentences.

Which is the correct combination of the given two sentences?

He is too tired. He could not stand.

EASY

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

If potential(in

volts

) in a region is expressed as

V (x, y, z) = 6 x y - y + 2 y z

, the electric field(in

N C^{- 1}

) at point

(1, 1, 0)

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Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

In the following sentence, a blank space with four options is given. Select whichever preposition or determiner you consider the most appropriate for the blank space.

These are the good rules to live _____.

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Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

When an

α

-particle of mass

m

moving with a undefined velocity bombards on a heavy nucleus of charge

Ze

, its distance of the closest approach from the nucleus depends on

m

as:

HARD

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

A point particle of mass $0.5 kg$ is moving along the $X$ -axis under a force described by the potential energy $V$ shown below. It is projected towards the right from the origin with a speed $v$ .

Question Image

What is the minimum value of $v$ for which the particle will escape infinitely far away from the origin?

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

Two equal charges of magnitude

Q

each are placed at a distance

d

apart. Their electrostatic energy is

E . A .

third charge

- \frac{Q}{2}

is brought midway between these two charges. The electrostatic energy of the system is now?

EASY

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

The diagrams below show regions of equipotential.

Question Image

A positive charge is moved from $A$ to $B$ in each diagram.

HARD

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

Some equipotential surfaces are shown. The electric field at any point is

Question Image

HARD

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

Consider a spherical shell of radius

R

with a total charge

+ Q

uniformly spread on its surface (center of the shell lies at the origin

x = 0

). Two point charge,

+ q a n d - q

are brought, one after the other, from far away and placed at

x = - \frac{a}{2} a n d x = + \frac{a}{2} (a < R),

respectively. Magnitude of the work done in this process is

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Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric potential at the point O lying at a distance L from the end A is :

Question Image

HARD

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

Four equal point charges

Q

each are placed in the

x y

plane at

(0, 2), (4, 2), (4, - 2)

and

(0, - 2)

. The work required to put a fifth charge

Q

at the origin of the coordinate system will be:

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Potential Energy of a System of Charges

Four point charges

- Q, - q, 2 q

and

2 Q

are placed, one at each corner of the square. The relation between

Q

and

q

for which the potential at the centre of the square is zero is

Two different equipotential surfaces $S_{1}$ and $S_{2}$ at electric potential $V_{1}$ and $V_{2}$ respectively are as shown in figure. The work done in moving a charge $q$ from $P$ to $Q$ is

Important Questions on Electrostatics

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