You visited us 70 times! Enjoying our articles? Unlock Full Access!

Electrification

10 C charge i...

Question

$10 C$ charge is given to a conducting spherical shell and a $- 3 C$ point charge is placed inside the shell. For this arrangement, find the correct statement(s).

The charge on the inner surface of the shell will be

+ 3 C

, and it can be distributed uniformly or nonuniformly

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

The charge on the inner surface of the shell will be

+ 3 C

, and it's distributed would be uniform

No worries! We‘ve got your back. Try BYJU‘S free classes today!

The net charge on the outer surface of the shell will be

+ 7 C

, and it's distributed can be uniformly or nonuniform

No worries! We‘ve got your back. Try BYJU‘S free classes today!

The net charge on the outer surface of the shell will be

+ 7 C

, and it's distributed would be uniformly

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct options are
B The charge on the inner surface of the shell will be $+ 3 C$ , and it can be distributed uniformly or nonuniformly
C The net charge on the outer surface of the shell will be $+ 7 C$ , and it's distributed would be uniformly
Due to induction, charges on various faces are as shown in Fig.
Charge on the inner surface of the shell $= + 3 C$
Net charge on the outer surface of the shell $= - 3 C + 10 C = + 7 C$
Distribution of charge on the inner surface would be uniform if charge is placed at the centre, otherwise non-uniform. On outer surface, charge would be always uniformly distributed as the displacement of inside charges does not effect the distribution of the outer charge.

Suggest Corrections

Similar questions

Q. A solid conducting sphere of radius

a

has a net positive charge

2 Q

. A conducting spherical shell of inner radius

b

and outer radius

c

is concentric with the solid sphere and has a net charge

- Q

. The surface charge density on the inner and outer surfaces of the spherical shell will be

Q. A spherical shell with an inner radius '

a

' and an outer radius '

b

' is made of conducting material. A point charge

+ Q

is placed at the center of the spherical shell and a total charge

- q

is placed on the shell. Charge is distributed on the surface as :

Q. A spherical conducting shell of inner radius

r_{1}

and outer radius

r_{2}

has a charge Q. A charge

- q

is placed at the center of the shell. The surface of the shell will be

Q. A spherical shell with an inner radius 'a' and an outer radius 'b' is made of conducting material. A point charge +Q is placed at the center of the spherical shell and a total charge -q is placed on the shell.
(a) Charge

- q

is distributed on the surfaces as
(A)

- Q

on the inner surface,

- Q

on outer surface
(B)

- Q

on the inner surface,

- q + Q

on outer surface
(C)

+ Q

on the inner surface,

- q - Q

on outer surface
(D) The charge

- q

is spread uniformly between the inner and outer surface.
(b) Assume that the electrostatic potential is zero at an infinite distance from the spherical shell. The electrostatic potential at a distance

R (a < R < b)

from the centre of the shell is

[w h e r e K = \frac{1}{4 π ε_{0}}]

Q. A solid spherical conducting shell has inner radius

a

and outer radius

2 a

. At the centre of the shell a point charge

+ Q

is located. What must be the charge of the shell be in order for the charge density on the inner and outer surfaces of the shell to be exactly equal?

Join BYJU'S Learning Program

10 C charge is given to a conducting spherical shell and a −3 C point charge is placed inside the shell. For this arrangement, find the correct statement(s).

$10 C$ charge is given to a conducting spherical shell and a $- 3 C$ point charge is placed inside the shell. For this arrangement, find the correct statement(s).