Question

Find the electric field inside a sphere which carries a charge density proportional to the distance from the origin, p = kr, for some constant k. (note that this charge density is not uniform, and you must integrate to get the enclosed charge.)

Answer 1

Answer:

E

.

ds

=

ε

0

Q

⇒Q=∫ρ

V

ρ

V

=αr is given where r is radius

E

.4πr

2

=

ε

0

ρ

V

3

4

πr

3

E=

3ε

0

αr

2