Question

An electron moves with velocity $\overrightarrow{v}=a\hat{k}$ in a magnetic field, $\overrightarrow{B}=b\hat{i}+c\hat{j}$. Find the magnetic force on the electron.

Answer 1

Magnetic force on the electron $\overrightarrow{F}=q(\overrightarrow{v}\times \overrightarrow{B})$

Or $\overrightarrow{F}=-e[a\hat{k}\times (b\hat{i}+c\hat{j}\left)\right]$

$⟹\overrightarrow{F}=-ea(-b\hat{j}-c\hat{i})=ea(b\hat{j}+c\hat{i})$