The electric field everywhere on the surface of a thin spherical shell of radius

Question

The electric field everywhere on the surface of a thin spherical shell of radius 0.730 m is measured to be equal to 900 N/C and points radially toward the center of the sphere.
(a) What is the net charge within the sphere's surface?
______nC
(b) What can you conclude about the nature and distribution of the charge inside the spherical shell?
The charge is positive and has a spherically symmetric distribution.
The charge is positive and has an linear distribution.
The charge is negative and has a spherically symmetric distribution.
The charge is negative and has an linear distribution.

Explanation / Answer

Electric field at the surface= 900N/C
Radius=0.730m
Let charge =q nC
Electric field=KQ/R2

=9q/(.73*.73)=900

q=100*0.73*0.73

=53.29 nc

Since the electric field is uniform at the surface. The charge distribution is spherically symmetric.

Charge 'q' at the centre will induce -q at the inner surface and q at the outer surface.

Positive charge will have field radially outwards and negative radially inwards.

Since the field at the surface is radially inwards charge q is negative.

q=-53.29 nC

The charge is negative and has a spherically symmetric distribution.

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