Question

Three concentric spherical conductive shells of radii 5 cm, 10 cm, and 15 cm are charged with 2 μC, 4 μC, and -6 μC, respectively. What is the electric field at r=2.5 cm, r=12 cm, and r=20 cm?

E1= ________________ V/m

E2= ________________ V/m

E3= ________________ V/m

What are the electric potentials at these points?

V1=___________V

V2=___________V

V3=___________V

Answer 1

Charge per Unit area is given by

Finding the Charge per Unit area for each spherical shell;

Electric Field is given by,

Finding the Electric field;

Here 2.5 cm < 5cm That is r < R . There is no electric field inside a charged electric shell.

Electric potential is given by,

Inside and at the surface of shell

Outside the shell

FInding Electric potential;