biot-savart law

Question

According to the Biot-Savart Law, the magnetic field due to a small current element depends on the sine of which angle?

RankGuru · Accepted Answer

The Biot-Savart Law gives the magnetic field ($d\vec{B}$) due to a steady current element $I d\vec{l}$ at a point with position vector $\vec{r}$:
$d\vec{B} = \frac{\mu_0}{4\pi} \frac{I (d\vec{l} 	imes \hat{r})}{r^2}$
- In magnitude: $dB = \frac{\mu_0}{4\pi} \frac{I dl \sin 	heta}{r^2}$
- $	heta$ is the angle between the **current element ($Idl$)** and the **position vector ($\vec{r}$)** from the element to the point of observation.

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