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Electromagnetic Induction. Maxwells Equations

Problem 3.352

A point charge qq moves with a non-relativistic velocity v=\mathbf{v}= const. Find the displacement current density jd\mathbf{j}_{d} at a point located at a distance rr from the charge on a straight line (a) coinciding with the charge path; (b) perpendicular to the path and passing through the charge.

Reveal Answer
(a) jd=2qv4πr3\mathbf{j}_{d}=\frac{2 q \mathbf{v}}{4 \pi r^{3}} (b) jd=−qv4πr3\mathbf{j}_{d}=-\frac{q \mathbf{v}}{4 \pi r^{\mathbf{3}}}.
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