MEDIUM

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An electric dipole is fixed at the origin of coordinates. Its moment is directed in the positive $x$ -direction. A positive charge is moved from the point $(r, 0)$ to the point $(- r, 0)$ by an external agent. In this process, the work done by the agent is -

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Important Questions on Electrostatics

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as shown in the figure:

Question Image

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

A

system has two charges

q_{A} = 2.5 \times 10^{- 7} C

and

q_{B} = - 2.5 \times 10^{- 7} C

located at points

A : (0, 0, - 15 cm)

and

B : (0, 0, + 15 cm),

respectively. What is the magnitude and direction of electric dipole moment of the system?

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

Two charges $10 μC$ and $- 10 μC$ are placed at points A and B separated by a distance of $10 cm$ . Find the electric field at a point P on the perpendicular bisector of AB, at a distance of $12 cm$ from its mid-point.

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MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

Charges

- q

and

+ q

, located at

A

and

B

, respectively, constitute an electric dipole. Distance

A B = 2 a

O

is the mid point of the dipole and

O P

is perpendicular to

A B

. A charge

Q

is placed at

P

where

O P = y

and

y ≫ 2 a

. The charge

Q

experiences an electrostatic force

F

. If

Q

is now moved along the equatorial line to

P'

such that

O P' = (\frac{y}{3})

the force on

Q

will be close to

(\frac{y}{3} ≪ 2 a)

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

Two identical electric point dipoles have dipole have dipole moments

{\vec{p}}_{1} = p \hat{i}

and

{\vec{p}}_{2} = - p \hat{i}

and are held on the

x

-axis at distance '

a

' from each other. When released, they move along the

x

-axis with the direction of their dipole moments remaining unchanged. If the mass of each dipole is '

m

', their speed when they are infinitely far apart is :

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

An electric dipole is placed at an angle of

30 °

with an electric field intensity

2 \times 10^{5} {N C}^{- 1}

. It experiences a torque equal to

4 N m

. The charge on the dipole, if the dipole length is

2 cm

, is

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

A dipole is placed in an electric field as shown. In which direction will it move?

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EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

The work done in moving a point charge of

10 μC

through a distance of

3 cm

along the equatorial axis of an electric dipole is

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

The electric field at a point on the equatorial plane at a distance r from the centre of a dipole having dipole moment

\vec{p}

is given by (

r > >

separation of two charges forming the dipole,

ϵ_{0}

- permittivity of free space)

HARD

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

Two ideal electric dipoles $A$ and $B$ , having their dipole moment $p_{1}$ and $p_{2}$ respectively are placed on a plane with their centres at $O$ as shown in the figure. At point $C$ on the axis of dipole $A$ , the resultant electric field is making an angle of $37 °$ with the axis. The ratio of the dipole moment of $A$ and $B, \frac{p_{1}}{p_{2}}$ is $: ($ take $\sin 37 ° = \frac{3}{5})$

Question Image

HARD

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

An electric dipole has fixed dipole moment

\vec{p}

, which makes angle

θ

with respect to

x -

axis. When subjected to an electric field

{\vec{E}}_{1} = E \hat{i},

it experiences a torque

{\vec{T}}_{1} = τ \hat{k}

. When subjected to another electric field

{\vec{E}}_{2} = \sqrt{3} E_{1} \hat{j}

it experiences a torque

{\vec{T}}_{2} = - {\vec{T}}_{1}

. The angle

θ

is:

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

Which of the following molecules is a polar molecule?

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

An electric dipole is formed by two equal and opposite charges

q

with separation

d

. The charges have same mass m. It is kept in a uniform electric field

E .

If it is slightly rotated from its equilibrium orientation, then its angular frequency

ω

is:

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

Two electric dipoles,

A,

B

with respective dipole moments

\vec{d_{A}} = - 4 q a \hat{i}

and

\vec{d_{B}} = - 2 q a \hat{i}

are placed on the

x

-axis with a separation

R,

as shown in the figure

Question Image

The distance from

A

at which both of them produce the same potential is:

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

An electric dipole is kept in non-uniform electric field. It generally experiences

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

An electric dipole is kept in a uniform electric field with its axis inclined at some angle to the electric field. It experiences

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

A short electric dipole has a dipole moment of

16 \times 10^{- 9} C m

. The electric potential due to the dipole at a point at a distance of

0.6 m

from the centre of the dipole, situated on a line making an angle of

60 °

with the dipole axis is:

(\frac{1}{4 π ε_{0}} = 9 \times 10^{9} N m^{2} C^{- 2})

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

The net electric charge enclosed by a Gaussian surface of dipole is

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

An electric dipole of moment

\vec{p} = (- \hat{i} - 3 \hat{j} + 2 \hat{k}) \times 10^{- 29} C m

at the origin

(0, 0, 0)

. The electric field due to this dipole at

\vec{r} = + \hat{i} + 3 \hat{j} + 5 \hat{k}

(note that

\vec{r} \cdot \vec{p} = 0

) is parallel to:

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Dipole

A Point dipole

\vec{p} = - p_{0} \hat{x}

is kept at the origin. The potential and electric field due to this dipole on the

y - a x i s

at a distance

d

are, respectively: (Taken

V = 0

at infinity)

An electric dipole is fixed at the origin of coordinates. Its moment is directed in the positive x-direction. A positive charge is moved from the point (r, 0) to the point (–r, 0) by an external agent. In this process, the work done by the agent is -

Important Questions on Electrostatics

Learn and Prepare for any exam you want !

An electric dipole is fixed at the origin of coordinates. Its moment is directed in the positive $x$ -direction. A positive charge is moved from the point $(r, 0)$ to the point $(- r, 0)$ by an external agent. In this process, the work done by the agent is -