All Problems

Electromagnetic Induction. Maxwells Equations

Problem 3.353

A thin wire ring of radius aa carrying a charge qq approaches the observation point PP so that its centre moves rectilinearly with a constant velocity vv. The plane of the ring remains perpendicular to the motion direction. At what distance xmx_{m} from the point PP will the ring be located at the moment when the displacement current density at the point PP becomes maximum? What is the magnitude of this maximum density?

Reveal Answer
xm=0,jdmax=qv4πa3x_{m}=0, \quad j_{d \max }=\frac{q v}{4 \pi a^{3}}