Biot-Savart law indicates that the moving ele | vedclass

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Question

(A) According to the Biot-Savart law for a moving point charge $q$ with velocity $\vec{v}$,the magnetic field $\vec{B}$ at a position vector $\vec{r}$

Vedclass · Accepted Answer

$\vec{B} \perp \vec{v}$

Vedclass · Answer

(A) According to the Biot-Savart law for a moving point charge $q$ with velocity $\vec{v}$,the magnetic field $\vec{B}$ at a position vector $\vec{r}$ is given by:$\vec{B} = \frac{\mu_0}{4\pi} \frac{q(\vec{v} 	imes \vec{r})}{r^3}$Since the magnetic field $\vec{B}$ is proportional to the cross product of the velocity vector $\vec{v}$ and the position vector $\vec{r}$,the resulting vector $\vec{B}$ must be perpendicular to both $\vec{v}$ and $\vec{r}$.Therefore,$\vec{B} \perp \vec{v}$.

Biot-Savart law indicates that the moving electrons (velocity $\vec{v}$) produce a magnetic field $\vec{B}$ such that

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