An electron moves through a uniform magnetic field given by

PHYSICS · Subjective · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism

Problem

\mathbf{B}=B_x\hat{\mathbf{i}}+(3B_x)\hat{\mathbf{j}}

. At a particular instant, the electron has velocity

\mathbf{v}=(2.0\hat{\mathbf{i}}+4.0\hat{\mathbf{j}})\text{ m/s}

and the magnetic force acting on it is

(6.4\times10^{-19}\text{ N})\hat{\mathbf{k}}

. Find

B_x