In spherical conductor- a spherical cavity is present- a point charge -q is placed at some distance from the center of cavity- then charge induced at surface and surface 2 -A- at surface 1 - charge induced is - q but uniformly distributed-B- At surface 2- charge is - q and non uniformly distributed-C- at surface 2- charge induced is - q but charge is non uniformly distributed-D- At surface 1- charge is - q but non uniformly distributed-

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Standard XII

Physics

Charging by Induction

In spherical ...

Question

In spherical conductor, a spherical cavity is present, a point charge $+ q$ is placed at some distance from the center of cavity, then charge induced at surface 1 and surface 2.

at surface 1, charge induced is

- q

but uniformly distributed.

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at surface 2, charge induced is

+ q

but charge is non uniformly distributed.

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At surface 1, charge is

- q

but non uniformly distributed.

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At surface 2, charge is

- q

and non uniformly distributed.

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Solution

The correct option is C At surface 1, charge is $- q$ but non uniformly distributed.

On surface 1, $- q$ charge is induced on the inner surface of the cavity non uniformly.

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Similar questions

Q. In spherical conductor, a spherical cavity is present, a point charge

+ q

is placed at some distance from the center of cavity, then charge induced at surface 1 and surface 2.

Q. Assertion :Statement-1 When a point charge q is placed inside the cavity of a neutral conductor, equal and opposite charges are induced on inner and outer surfaces of the conductor. At a point P, electric field due to charges induced on cavity surface must be non-zero. Reason: Statement-2 Electric field at point P is zero.

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. Figure shows a conductor with cavity inside it. Charge Q is kept inside cavity. a, b and c are 3 points as shown in figure. Choose the correct option(s).

Q. In each situation of column-

I

, some charge distributions are given with all details explained. The electrostatic potential energy and its nature is given situation in column -

I I

. Match the proper entries
from column-

I I

to column-

I

using the codes given below the columns,

	Column- $I$		Column- $I I$
p.	A thin shell of radius a and having a charge – Q uniformly distributed over its surface as shown	1.	$\frac{1}{8 {πε}_{o}} \times \frac{Q^{2}}{a}$ in magnitude
q.	A thin shell of radius $\frac{5 a}{2}$ having a charge $- Q$ uniformly distributed over its surface and a point charge $- Q$ placed at its centre as shown	2.	$\frac{3}{20 {πε}_{o}} \times \frac{Q^{2}}{a}$ in magnitude
r.	A solid sphere of radius $a$ and having a charge $- Q$ uniformly distributed throughout its volume as shown	3.	$\frac{27 Q}{80 π ε_{o}} \times \frac{Q^{2}}{a}$ in magnitute
s.	A solid sphere of radius a and having a charge – Q uniformly distributed throughout its volume. The solid sphere is surrounded by a concentric thin uniformly charged spherical shell of radius $2 a$ and carrying charge $- Q$ as shown	4.	$\frac{27 Q}{60 π ε_{o}} \times \frac{Q^{2}}{a}$ in magnitude

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In spherical conductor, a spherical cavity is present, a point charge +q is placed at some distance from the center of cavity, then charge induced at surface 1 and surface 2.

The correct option is C At surface 1, charge is −q but non uniformly distributed. On surface 1, −q charge is induced on the inner surface of the cavity non uniformly.

In spherical conductor, a spherical cavity is present, a point charge $+ q$ is placed at some distance from the center of cavity, then charge induced at surface 1 and surface 2.

The correct option is C At surface 1, charge is $- q$ but non uniformly distributed.

On surface 1, $- q$ charge is induced on the inner surface of the cavity non uniformly.