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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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

The distance from $A$ at which both of them produce the same potential is:

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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 - 10th January 2019 Shift 1>Q 111

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

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 10th January 2019 Shift 1>Q 112

A parallel plate capacitor is of area

6 c m^{2}

and a separation

3 m m .

The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constant

K_{1} = 10, K_{2} = 12

and

K_{3} = 14 .

The dielectric constant of a material which when fully inserted in above capacitor, gives same capacitance would be:

Question Image

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 10th January 2019 Shift 2>Q 113

A parallel plate capacitor having capacitance

12 pF

is charged by a battery to a potential difference of

10 V

between its plates. The charging battery is now disconnected and a porcelain slab of dielectric constant

6.5

is slipped between the plates. The work done by the capacitor on the slab is

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 10th January 2019 Shift 2>Q 114

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)

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 10th January 2019 Shift 2>Q 115

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

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 12th April 2019 Shift 1>Q 116

Shown in the figure is a shell made of a conductor. It has inner radius $a$ and outer radius $b$ , and carries charge $Q$ . At its centre a dipole $\vec{p}$ is placed as shown then:
Question Image

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 12th April 2019 Shift 1>Q 117

Two identical parallel plate capacitors, of capacitance

C

each, have plates of area

A,

separated by a distance

d

. The space between the plates of the two capacitors, is filled with three dielectrics, of equal thickness and dielectric constants

K_{1}, K_{2}

and

K_{3}

. The first capacitor is filled as shown in figure

I,

and the second one is filled as shown in figure

I I .

If these two modified capacitors are charged by the same potential

V

, the ratio of the energy stored in the two, would be

(E_{1}

refers to capacitor

(I)

and

E_{2}

to capacitor

(I I)

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 12th April 2019 Shift 1>Q 118

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)

Two electric dipoles, A, B with respective dipole moments dA→=-4qai^ and dB→=-2qai^ are placed on the x -axis with a separation R, as shown in the figure The distance from A at which both of them produce the same potential is:

Important Questions on Electrostatics

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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

The distance from $A$ at which both of them produce the same potential is: