Question

A charge of uniform linear density 2.89 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell with an inner radius of 6.23 cm and an outer radius of 15.5 cm.

If the net charge on the shell is zero, what is the surface charge density on the inner surface of the shell?

What is the surface charge density on the outer surface of the shell?

Answer 1

total charge in rod:
2.89 nC/m
total charge on inner shell: same
charge density=charge/area
consider one meter of length
= 2.89nC/m*1m / (Pi*.0623^2*1m)
=237nC/m^2
outer surface
has to be same charge
consider one meter of length
= 2.89nC/m*1m / (Pi*.15^2*1m)
= 39.6nC/m^2 check the math with a calculator.