- #1

henrybrent

- 57

- 0

## Homework Statement

The Biot-Savart law for a current density j in a volume V is: [itex] d\vec{B} = \frac{\mu_0\vec{j}\times\vec{r}}{4\pi r^3} dV[/itex]

Derive the formula for the magnetic field created by a single point-like particle carrying charge [itex]q[/itex] moving with velocity [itex]\vec{v}[/itex]. Explain and justify all important steps.

## Homework Equations

[itex] d\vec{B} = \frac{\mu_0\vec{j}\times\vec{r}}{4\pi r^3} dV[/itex]

## The Attempt at a Solution

If I integrate over the whole volume, that will give me B, but it wont be correct for a moving point charge?

[itex] \vec{B} = \frac{\mu_0}{4\pi} \int \frac{\vec{j}\times\vec{r}}{ r^3} dV[/itex]