Let E 1 = x i ^ + y j ^ , and E 2 = x y 2 i ^ + x 2 y j ^ , then:

E 1 represents constant electric field.

E 2 represents constant electric field.

both represents constant electric field.

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:

Q a + b + c 4 π ϵ 0 a 2 + b 2 + c 2

Q a 2 + b 2 + c 2 4 π ϵ 0 a 3 + b 3 + c 3

Q 12 π ϵ 0 a b + b c + c a a b c

E M B I B E

Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 8

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Statement I: For practical purposes, the earth is used as a reference at zero potential in electrical circuits.

Statement II: The electrical potential of a sphere of radius $R$ with charge $Q$ uniformly distributed on the surface is given by $\frac{Q}{4 π ε_{0} R}$ .

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Important Questions on Electrostatics

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IMPORTANT

Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 9

Which of the following statement(s) is/are correct?

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 10

Let

E_{1} = x \hat{i} + y \hat{j},

and

E_{2} = x y^{2} \hat{i} + x^{2} y \hat{j},

then:

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 11

When a glass rod is rubbed with silk, the amount of positive charge acquired by glass rod in magnitude is:

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 12

A cube has point charges of magnitude

- q

at all its vertices. The electric field at the centre of the cube is:

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 13

An electric dipole is placed along the

x

axis at the origin

O

. A point

P

is at a distance of

20 cm

from this origin, such that

O P

makes an angle

\frac{π}{3}

with the

x

axis. If the electric field at

P

makes an angle

θ

with the

x

axis, then the value of

θ

would be

HARD

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 14

A charged wire is bent in the form of a semicircular arc of radius

a

. If charge per unit length is

λ {cm}^{- 1}

, the electric field at the centre

O

is

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 15

Two non-conducting spheres of radii $R_{1}$ and $R_{2}$ and carrying uniform volume charge densities $+ ρ$ and $- ρ,$ respectively, are placed such that they partially overlap, as shown in the figure. At all points in the overlapping region :

Question Image

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 16

Charges $Q, 2 Q$ and $4 Q$ are uniformly distributed in three dielectric solid spheres $1, 2$ and $3$ of radii $\frac{R}{2}, R$ and $2 R$ respectively, as shown in figure. If magnitudes of the electric fields at point $P$ at a distance $R$ from the centre of spheres $1, 2$ and $3$ are $E_{1}, E_{2}$ and $E_{3}$ respectively, then :-