Question

A Charge Q is uniformly distributed
through out a sphere of radius 2cm
a) What is the charge density p in
colombs percubc meter in the sphere
r ?​

Answer 1

Answer:

If ρ be volume charge density, Q=ρ.

3

4

πR

3

...(1)

Consider a Gaussian surface of radius r. Using Gauss's law the field at r is

E.4πr

2

=

ϵ

0

ρ.

3

4

πr

3

E=

4πϵ

0

R

3

Qr

using (1)

∴E∝r

Answer 2

Explanation:

density=charge/volume

=

volume=4/3 pi*r^3