A system of three charges are placed as shown in the figure: If D > > d , the potential energy of the system is best given by:

1 4 π ϵ 0 - q 2 d - q Q d D 2

1 4 π ϵ 0 + q 2 d + q Q d D 2

1 4 π ϵ 0 - q 2 d - q Q d 2 D 2

1 4 π ϵ 0 - q 2 d + 2 q Q d D 2

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one. Reason R : Capacitance of metallic spheres depend on the radii of spheres. In the light of the above statements, choose the correct answer from the options given below.

Both A and R are true and R is the correct explanation of A

Both A and R are true but R is not the correct explanation of A

Let σ be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric fields in three different region E I , E I I and E I I I

E → I = - σ ∈ 0 n ^ , E → I I = 0 , E → I I I = σ ∈ 0 n ^

E → I = 2 σ ∈ 0 n ^ , E → I I = 0 , E → I I I = 2 σ ∈ 0 n ^

E → I = 0 , E → I I = σ ∈ 0 n ^ , E → I I I = 0

E → I = σ 2 ∈ 0 n ^ , E → I I = 0 , E → I I I = σ 2 ∈ 0 n ^

Considering a group of positive charges, which of the following statements is correct?

Net potential of the system cannot be zero at a point but net electric field can be zero at that point

Net potential of the system at a point can be zero but net electric field can't be zero at that point

Both the net potential and the net field can be zero at a point

Both the net potential and the net electric field cannot be zero at a point

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JEE Main

IMPORTANT

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A capacitor with capacitance $5 μ F$ is charged to $5 μ C$ . If the plates are pulled apart to reduce the capacitance to $2 μ F$ , how much work is done?

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Important Questions on Electrostatics

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 9th April 2019 Shift 1>Q 90

A system of three charges are placed as shown in the figure:
Question Image

D > > d,

the potential energy of the system is best given by:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 9th April 2019 Shift 1>Q 91

Determine the charge on the capacitor in the following circuit:
Question Image

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 9th April 2019 Shift 2>Q 92

The parallel combination of two air filled parallel plate capacitors of capacitance

C

and

n C

is connected to a battery of voltage,

V .

When the capacitors are fully charged, the battery is removed and after that a dielectric material of dielectric constant

K

is placed the two plates of the first capacitor. The new potential difference of the combined system is:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 9th April 2019 Shift 2>Q 93

Four point charges

- q, + q, + q

and

- q

are placed on y-axis at

y = - 2 d, y = - d,

and

y = + 2 d,

respectively. The magnitude of the electric field

E

at a point on the x-axis at

x = D,

with

D ≫ d,

will behave as:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 9th January 2019 Shift 1>Q 94

Three charges

+ Q, q, + Q

are placed respectively, at distance,

0, d / 2

and

d

from the origin, on the

x

-axis. If the net force experienced by

+ Q,

placed at

x = 0,

is zero, then value of

q

is:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 9th January 2019 Shift 1>Q 95

For a uniformly charged ring of radius

R,

the electric field on its axis has the largest magnitude at a distance

h

from its centre. Then value of

h

is:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 9th January 2019 Shift 1>Q 96

A parallel plate capacitor is made of two square plates of side

a,

separated by a distance

d (d ≪ a) .

The lower triangular portion filled with a dielectric of dielectric constant

K,

as shown in the figure. Capacitance of this capacitor is:
Question Image

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 9th January 2019 Shift 2>Q 97

Charge is distributed within a sphere of radius

R

with a volume charge density

ρ (r) = \frac{A}{r^{2}} e^{- \frac{2 r}{a}},

where

A

and

a

are constants. If

Q

is the total charge of this charge distribution, the radius

R

is_____.

A capacitor with capacitance 5 μF is charged to 5 μC . If the plates are pulled apart to reduce the capacitance to 2 μF, how much work is done?

Important Questions on Electrostatics

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A capacitor with capacitance $5 μ F$ is charged to $5 μ C$ . If the plates are pulled apart to reduce the capacitance to $2 μ F$ , how much work is done?