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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