Consider a solid neutral conducting sphere of radius 2 R having a concentric cavity of radius R . Points A , D , B are at distances 3 R , 3 R 2 and R 2 from centre C respectively. s 1 and s 2 are inner surface and outer surface of the hollow sphere. k = 1 4 π ε 0 Mark the CORRECT statement:

If a charge Q is placed at B , potential at point D is k Q 2 R

If charge Q is placed at A , electric field at B and D due to induced charges on the surface is same

If charge Q is placed at C and a similar charge Q is placed at A , surface density on the inner surface and outer surface is uniform

Consider a solid neutral conducting sphere of radius 2 R having a concentric cavity of radius R . Points A , D , B are at distances 3 R , 3 R 2 and R 2 from centre C respectively. s 1 and s 2 are inner surface and outer surface of the hollow sphere. k = 1 4 π ε 0 Mark the CORRECT statement:

If a charge Q is placed at B , potential at point D is k Q 2 R

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Consider a solid neutral conducting sphere of radius $2 R$ having a concentric cavity of radius $R .$ Points $A, D, B$ are at distances $3 R, \frac{3 R}{2}$ and $\frac{R}{2}$ from centre $C$ respectively. $s_{1}$ and $s_{2}$ are inner surface and outer surface of the hollow sphere. $(k = \frac{1}{4 π ε_{0}})$ Mark the CORRECT statement:

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Important Questions on Electrostatics

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

A spherical drop of mercury having a potential of

2.5 V

is obtained as a result of merging

125

droplets. The potential of constituent droplets would be

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

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:

HARD

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

A charge

+ q

is distributed over a thin ring of radius

r

with line charge density

λ = \frac{q \sin^{2} θ}{π r}

. Note that the ring is in the

X Y

-plane and

θ

is the angle made by

r

with the

X

-axis. The work done by the electric force in displacing a point charge

+ Q

from the centre of the ring to infinity is

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

A sphere has a constant electric potential

V

on its surface. If there are no charges inside the sphere, the potential at the centre of the sphere is

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

Concentric metallic hollow spheres of radii

R

and

4 R

hold charges

Q_{1}

and

Q_{2}

respectively. Given that surface charge density of the concentric spheres are equal, the potential difference

V (R) - V (4 R)

is:

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

512

identical drops of mercury are charged to a potential of

2 V

each. The drops are joined to form a single drop. The potential of this drop is

V

in Volt.

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

Two concentric spherical conducting shells of radii

R

and

\cdot 2 R

carry charges

Q

and

2 Q

respectively. Change in electric potential on the outer shell when both are connected by a conducting wire is

(K = \frac{1}{4 π ε_{0}})

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

Charge on the outer sphere is

q

and the inner sphere is grounded. The charge on the inner sphere is

q^{'}

, for

(r_{2} > r_{1})

. Then

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

A charge Q is distributed over two concentric conducting thin spherical shells radii $r$ and $R (R > r)$ . If the surface charge densities on the two shells are equal, the electric potential at the common centre is :

Question Image

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

The potential at the centre of a hollow, charged metal sphere of radius

5 cm

, so that the potential on its surface

10 V

, is

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

Four point charge (with equal magnitude of charge of $5 C;$ but with different signs) are placed at four corners of a square of side $10 m .$ Assuming that the square is centered at the origin and the configuration of the charges are as given in the figure, the potential and the magnitude of electric field at the origin, respectively are

[Note $k = \frac{1}{4 π ε_{0}}]$

Question Image

HARD

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

A uniformly charged ring of radius

3 a

and total charge

q

is placed in

x ‐ y

plane centred at origin. A point charge

q

is moving towards the ring along the

z -

axis and has speed

v

z = 4 a

. The minimum value of

v

such that it crosses the origin is:

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

What will be the potential at the centre of the sphere when a hollow metal sphere of radius

10 cm

is charged such that the potential on its surface is

80 volts ?

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

n

small metal drops of same size are charged to

V

volt each. If they coalesce to form a single large drop, then its potential will be

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

The two thin coaxial rings, each of radius

a

and having charges

+ Q

and

- Q

respectively are separated by a distance of

s

. The potential difference between the centres of the two rings is :

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

N

identical spherical drops charged to the same potential

V

are combined to form a big drop. The potential of the new drop will be

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

Two spheres of unequal radii are supplied with equal quantity of charges. The potential will _______

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

N

number of charges,

+ Q

each, are placed maintaining equal distance on the circumference of a circle of radius

R .

The net electrostatic potential at the centre of the circle is

HARD

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

Consider two charged metallic spheres

S_{1}

and

S_{2}

of radii

R_{1}

and

R_{2},

respectively. The electric fields

E_{1}

(on

S_{1}

) and

E_{2}

(on

S_{2}

) on their surfaces are such that

\frac{E_{1}}{E_{2}} = \frac{R_{1}}{R_{2}} .

Then the ratio

V_{1}

(on

S_{1}

)

/

V_{2}

(on

S_{2}

) of the electrostatic potentials on each sphere is:

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Field and Potential

A solid conducting sphere, having a charge

Q,

is surrounded by an uncharged conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be

V .

If the shell is now given a charge of

- 4 Q,

the new potential difference between the same two surfaces is:

Consider a solid neutral conducting sphere of radius 2R having a concentric cavity of radius R. Points A, D, B are at distances 3R, 3R2 and R2 from centre C respectively. s1 and s2 are inner surface and outer surface of the hollow sphere. k=14πε0 Mark the CORRECT statement:

Important Questions on Electrostatics

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