For which of the following, the superposition principle does not hold?

Energy Density of Electric field

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JEE Main

IMPORTANT

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The figure shows three circular arcs, each of radius $R$ and total charge as indicated. The net electric potential at the centre of curvature is -

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Important Questions on Electrostatics

MEDIUM

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 19

Four equal charges

Q

are placed at the four corners of a square of each side

a

. Work done in removing a charge

- Q

from its centre to infinity is

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JEE Main

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 20

An electric dipole (dipole moment

= p

) is placed in a uniform electric field in a stable equilibrium position at rest. Now it is rotated by a small angle and released. The time after which it comes to the equilibrium position again (for the first time) is

t

. If the moment of inertia of the dipole about the axis of rotation is

x \frac{t^{2} p E}{π^{2}},

then find the value of

x .

EASY

JEE Main

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 21

The potential at a point due to an electric dipole will be maximum and minimum when the angles between the axis of the dipole and the line joining the point to the dipole are respectively

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JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 22

The capacitance of a parallel plate capacitor with air as the medium is

3 μF .

As a dielectric is introduced between the plates, the capacitance becomes

15 μF .

The permittivity of the medium in

C^{2} N^{- 1} m^{- 2}

is,

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IMPORTANT

Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 23

The point charges

- 2 q, - 2 q

and

+ q

are put on the vertices of an equilateral triangle of side

a .

Find the work done by some external force in increasing the separation to

2 a

(in joules).

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JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 24

A point charge is surrounded symmetrically by six identical charges at distance $r$ as shown in the figure. How much work is done by the forces of electrostatic repulsion when the point charge $q$ at the centre is removed at infinity?

Question Image

HARD

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 25

Four particles, each of mass

m

and charge

q

, are held at the vertices of a square of the side

a

as shown in the figure. They are released at

t = 0

and move under mutual repulsive forces. Speed of any particle when its distance from the centre of square doubles, is -

Question Image

HARD

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 2>Q 26

Four charge $Q_{1}, Q_{2}, Q_{3}$ and $Q_{4}$ of same magnitude are fixed along the $x -$ axis at $x = - 2 a, - a, + a$ and $+ 2 a,$ respectively. A positive charge $q$ is placed on the positive $y -$ axis at a distance $b > 0$ . Four options of the signs of these charges are given in List- $I$ . The direction of the forces on the charge $q$ is given in List- $II$ . Match List $- I$ with List $- II$ and select the correct answer using the code given below the lists.

Question Image

List-I	List-II
P. $Q_{1}, Q_{2}, Q_{3}, Q_{4}$ all positive	$1 . + x$
Q. $Q_{1}, Q_{2}$ positive $Q_{3}, Q_{4}$ negative	$2 . - x$
R. $Q_{1}, Q_{4}$ positive $Q_{2}, Q_{3}$ negative	$3 . + y$
S. $Q_{1}, Q_{3}$ positive $Q_{2}, Q_{4}$ negative	$4 . - y$

The figure shows three circular arcs, each of radius R and total charge as indicated. The net electric potential at the centre of curvature is -

Important Questions on Electrostatics

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The figure shows three circular arcs, each of radius $R$ and total charge as indicated. The net electric potential at the centre of curvature is -