All Problems

Electromagnetic Induction. Maxwells Equations

Problem 3.352

A point charge \(q\) moves with a non-relativistic velocity \(\mathbf{v}=\) const. Find the displacement current density \(\mathbf{j}_{d}\) at a point located at a distance \(r\) 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) \(\mathbf{j}_{d}=\frac{2 q \mathbf{v}}{4 \pi r^{3}}\) (b) \(\mathbf{j}_{d}=-\frac{q \mathbf{v}}{4 \pi r^{\mathbf{3}}}\).