All Problems

Electric Current

Problem 3.147

A long cylinder with uniformly charged surface and crosssectional radius \(a=1.0 \mathrm{~cm}\) moves with a constant velocity \(v\) \(=10 \mathrm{~m} / \mathrm{s}\) along its axis. An electric field strength at the surface of the cylinder is equal to \(E=0.9 \mathrm{kV} / \mathrm{cm}\). Find the resulting convec. tion current, that is, the current caused by mechanical transfer of a charge.

Reveal Answer
I=2πεnaEv=0.5μAI=2 \pi \varepsilon_{n} a E v=0.5 \mu \mathrm{A}