Question

Determine the electric field intensities at external and
internal points due to a charged thin spherical shell
with the help of Gauss's theorem.​

Answer 1

Answer:

Let, R be the radius of the shell and Q be the charge uniformly distributed on the surface.

i) For a point outside the shell :

By Gauss's law, E.4πr

2

=

ϵ

0

Q

en

here r be the distance from centre of shell (r>R) and charge enclosed by surface Q

eq

=Q

So, E

out

=E=

4πϵ

0

r

2

Q

ii) For a point inside the shell :

By Gauss's law, E.4πr

2

=

ϵ

0

Q

en

here r be the distance from centre of shell (r<R) and charge inside the shell, Q

eq

=0

So, E

in

=E=0