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Electricity and Magnetism

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Moderate

Potential of a Long Conducting Cylinder

EANDM-W9MEYW

Consider a long cylinder of radius $a$. There is a constant surface charge density of $\lambda$ on the cylinder.

What is the electric potential for $r > a$?

A

$V(r) = \cfrac{\lambda a}{\epsilon_o }ln (r) + C_o$

B

$V(r) = \cfrac{\lambda a}{\epsilon_o r } + C_o$

C

$V(r) = \cfrac{\lambda a}{\epsilon_o }ln (1/r) + C_o$

D

$V(r) = \cfrac{\lambda r}{\epsilon_o } + C_o$