A charged particle carrying charge moves in a uniform magnetic field with velocity at…

PHYSICS · Multi-part · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism

Problem

A charged particle carrying charge

q=1\,\mu\mathrm{C}

moves in a uniform magnetic field with velocity

\mathbf{v}_1=10^6\,\mathrm{m/s}

at an angle of

45^\circ

with the

x

-axis in the

xy

-plane and experiences a force

\mathbf{F}_1=5\sqrt{2}\,\mathrm{mN}

along the negative

z

-axis. When the same particle moves with velocity

\mathbf{v}_2=10^6\,\mathrm{m/s}

along the

z

-axis, it experiences a force

\mathbf{F}_2

in the

y

-direction. Find (a) The magnitude and direction of the magnetic field. (b) The magnitude of the force

F_2