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 0.740 m is measured to be equal to 910 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 an linear distribution. The charge is positive and has a spherically symmetric distribution.     The charge is negative and has a spherically symmetric distribution. The charge is negative and has an linear distribution.

Explanation / Answer

Electric field on a surface of spherical shell is given by:

E = k|Q|/r^2

|Q| = E*r^2/k

|Q| = 910*0.74^2/(9*10^9)

|Q| = 55.368*10^-9 C = 55.368 nC

Since electric field is pointed radially towards the centre it means charge is negative and has aspherical symmetrical distribution.

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