Question

Consider a hollow spherical conductive shell of radius (R) 0.2 m with a fixed

charge of +2.0 x 10-6 C uniformly distributed on its surface.

a. What is the electric field at all points inside the sphere? Express your answer as

a function of the distance r from the center of the sphere. (2 points)

b. What is the electric field outside the sphere? Express your answer as a function

of the distance r from the center of the sphere. (2 points)

c. What if the sphere is a solid conductive sphere? What is the electric field at all

points inside the sphere? Express your answer as function of the distance r from

the center of the sphere

Answer 1

(a) Inside hollow conducting sphere the electric field is zero at all points.

(b) Outside sphere the electric field is given by

$$E=k\frac{q}{r^2}\\ =9*10^9*\frac{2.0*10^{-6}}{r^2}=\frac{18000}{r^2}\:\rm \frac{V}{m}$$

(c) Inside solid conducting sphere the electric field is zero at all points.