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

Question

The electric field everywhere on the surface of a thin, spherical shell of radius 0.780 m is measured to be 880 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 positive charge has a spherically symmetric charge distribution the negative charge has an asymmetric charge distribution the negative charge has a spherically symmetric charge distribution the positive charge has an asymmetric charge distribution

Explanation / Answer

E = k Q / R^2       since the field is radially symmetric
Q = E * R^2 / k = 880 * .78^2 / 9 * 10E9 = 5.98 * 10E-8 C = 59.8 nC
The charge at the center (or be symmetric) must be negative since the electric field must
start on positive charge and end on negative charge.

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