Question

A cylindrical shell of radius 7.00cm and length 2.40m has its charge uniformly distributed on its curved surface. The magnitude of the electric field at a point 19.0cm radially outward from its axis (measured from the midpoint of the shell) is 36.0kN/C.

Find...
(a) the net charge on the shell, and
(b) the electric field at a point 4.00cm from the axis, measured radially outward from the midpoint of the shell.

Answer 1

From the Gauss Law derivations, we use the following equation to solve for the net charge on the shell:

E = q / 2πεrL

where E is the magnitude of the electric field, q is the charge, ε is a constant and r is the radius.

q = E2πεrL = (36.0 kN/C) 2 π (0.190 m) (2.40 m) e0= 9.13 x 10-7C