A total electric charge of 3.50 nC is distributed uniformly over the surface of a metal sphere with a radius of 24.0 cm. If the potential is zero at a point at infinity, find the value of the potential at the following distances from the center of the sphere: (a) 48.0 cm; (b) 24.0 cm; (c) 12.0 cm

a, V = 65.6V

b. V = 131.0V

C. V = 131.0V

Explanation:

Given

Total electric charge distributed  uniform at surface of metal sphere where radius is R = 24cm

R = 24cm = 0.024m

we have to find potential at different distance

a. r = 48cm = 0.048m

b. r = 24cm = 0.024m

c. r = 12cm = 0.012m

a. solution

Here the distance r is grater then R,we can get the potential outside of sphere

now we plug the value q and r in potential v

=65.6V

b.solution

Here distane r is the same from radius R, so we can get potential inside sphere

Now we plug the value of R and q

3.solution

Inside sphere electric feild is zero.so potential is the same every point inside sphere and equal potential on the surface

hey , the answer is c