Answer to Question #300881 in Electricity and Magnetism for ykah

Question

A conducting cylinder of radius 3.25 cm and length 5.6 cm has a total charge of 4.5 x 10^-9 C distributed uniformly on its surface area. Find the potential at a) its surface, and b) 2.5 cm and c) 5.0 cm from the center of the cylinder.

Answer 1

a)

$d=r,$

$\varphi=2k\lambda\ln\frac dr=0,$

b)

$d<r,$

$\varphi=0,$

c)

$d>r,$

$\varphi=\frac{2kC}{\pi r^2l}\ln\frac dr=190~kV.$