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

Energy Density of Electric field

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IMPORTANT

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Point charges $+ 4 q$ , $- q$ and $+ 4 q$ are kept on the $x$ -axis at points $X = 0$ , $X = a$ and $X = 2 a$ , respectively, then

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Important Questions on Electrostatics

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JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 3>Q 2

Five-point charges each of value

+ q

are placed on five vertices of a regular hexagon of side

L

. What is the magnitude of the force on a point charge of value

- q

placed at the center of the hexagon?

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IMPORTANT

Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 3>Q 3

A rod of length

L

has a total charge

Q

distributed uniformly along its length. It is bent in the shape of a semicircle. Find the magnitude of the electric field at the centre of curvature of the semicircle.

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 3>Q 4

As shown in the figure, a point charge

q_{1} = + 1 \times 10^{- 6} C

is placed at the origin in

x y

-plane and another point charge

q_{2} = + 3 \times 10^{- 6} C

is placed at the coordinate

(10, 0) .

In that case, which of the following graph

(s)

shows most correctly the electric field vector in

E_{x}

x

-direction ?

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 3>Q 5

A particle of mass

10^{- 3} kg

and charge

1.0 C

is initially at rest. At time

t = 0,

the particle comes under the influence of an electric field

\vec{E} (t) = E_{0} \sin (ω t) \hat{i}

, where

E_{0} = 1.0 N C^{- 1}

and

ω = 10^{3} rad s^{- 1} .

Consider the effect of only the electrical force on the particle. Then the maximum speed in

m s^{- 1}

attained by the particle at subsequent times is:

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IMPORTANT

Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 3>Q 6

In the figure shown, find the ratio of the linear charge densities $λ_{1}$ (on semi – infinite straight wire) and $λ_{2}$ (on semi – circular part) that is $λ_{1} / λ_{2}$ so that the field at $O$ is along $y$ direction.
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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 3>Q 8

The linear charge density on a dielectric ring of radius

R

varies with

θ

λ = λ_{0} cosθ / 2,

where

λ_{0}

is constant. Find the potential at the center

O

of the ring (in volt).

MEDIUM

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IMPORTANT

Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 3>Q 9

The electric field in a region is given by

\vec{E} = ((2 x) \hat{i} + (4 y) \hat{j}) \times 10^{6} N C^{- 1}

, where

x

and

y

are in

meters

. A

1 μC

charged particle is moved from the origin to the co-ordinates

(2 m, 4 m)

, first along the

y

-axis and then along the

x

-axis. The work done by the electric field is,

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 3>Q 10

An electric dipole having dipole moment $4 \times 10^{- 9} C m$ is placed at origin along $x$ -axis. If the electric field that should be applied along $x$ -axis so that we get an equipotential spherical surface of radius $3 m$ centred at origin is $E V m^{- 1}$ , what is the value of $3 E$ ?

(Take $k = 9 \times 10^{9} N m^{2} C^{- 2}$ )

Point charges +4q, -q and +4q are kept on the x-axis at points X=0, X=a and X=2a, respectively, then

Important Questions on Electrostatics

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Point charges $+ 4 q$ , $- q$ and $+ 4 q$ are kept on the $x$ -axis at points $X = 0$ , $X = a$ and $X = 2 a$ , respectively, then