MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Charge vs Potential in Spherical Conductor

A non conduct...

Question

A non conducting hollow sphere having inner and outer radii a and b respectively is made of a material having di-electric cons†an t K and has uniformly distributed charge over its entire solid volume. Volume density of charge is †extparagraph. Calculate potential at a dis†an ce r from its centre when: r>b, r

Open in App

Solution

Suggest Corrections

thumbs-up

4

Similar questions

Q. A solid insulating sphere of radius a carries a net positive charge

3 Q

, uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius

n

and outer radius

c

and having a net charge

- Q

, as shown in figure. The electric field in the region

b > r > a

Q. A non-conducting sphere has a total charge Q uniformly distributed throughout its volume. the centre of the sphere is at origin and its radius is R. let

U_{1}

be the electrostatic potential energy in the region inside the sphere and

U_{2}

be the electrostatic potential energy in another imaginary spherical shell, having inner radius R and outer radius infinity, centred at origin. select the correct alternative(s)

Q. A non conducting sphere of radius

^{'} a^{'}

has a type charge

^{'} + q^{'}

uniformly distributed throughout in volume. A hollow spherical conductor having inner and outer, radii

^{'} b^{'}

^{'} c^{'}

^{'} - q^{'}

is concentric with the sphere (see the figure)
Read the following statements
(i) The electric field at a distance

r

from the center of the sphere

= \frac{1}{4 π ε_{0}} \frac{q r}{a^{3}}

r < a

.
(ii) The electric field at distance

r

from the center of the sphere for

a < r < b = 0

(iii) The electric field at distance

r

from the center of the sphere for

b < r < c <= 0

(iv) The charge on the inner surface of the hollow sphere

= - q

(v) The charge on the outer surface of the hollow sphere

= + q

.

Q. A sphere of radius

R

has electric charge uniformly distributed in its entire volume. At a distance

x

from its centre for

x < R

, the electric field is directly proportional to

Q. A sphere of radius

r

has electric charge uniformly distributed in its entire volume. At a distance

d

from the centre inside the sphere

(d < r)

the electric field intensity is directly proportional to

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

The Idea of Capacitance

PHYSICS

Watch in App

explore_more_icon

Explore more

Charge vs Potential in Spherical Conductor

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon