All Problems

Electromagnetic Induction. Maxwells Equations

Problem 3.354

A point charge qq moves with a non-relativistic velocity v=\mathrm{v}= const. Applying the theorem for the circulation of the vector H\mathbf{H} around the dotted circle shown in Fig. 3.97,3.97, find HH at the point AA as a function of a radius vector r\mathbf{r} and velocity v\mathbf{v} of the charge.

Reveal Answer
H=q[vr]4πr3\mathbf{H}=\frac{q[\mathbf{v} \mathbf{r}]}{4 \pi r^{3}}