All Problems

Electromagnetic Induction. Maxwells Equations

Problem 3.362

A non-relativistic point charge \(q\) moves with a constant velocity \(\mathbf{v}\). Using the field transformation formulas, find the magnetic induction B produced by this charge at the point whose position relative to the charge is determined by the radius vector \(\mathbf{r}\).

Reveal Answer
B=μ04πq[vr]r3\mathbf{B}=\frac{\mu_{0}}{4 \pi} \frac{q[\mathbf{v r}]}{r^{3}}