Problem

A charged particle carrying charge

q = 1 \mu\text{C}

moves in uniform magnetic field with velocity

v_1 = 10^6 \text{ m/s}

at angle

45^\circ

with

x

-axis in the

xy

-plane and experiences a force

F_1 = 5\sqrt{2} \text{ mN}

along the negative

z

-axis. When the same particle moves with velocity

v_2 = 10^6 \text{ m/s}

along the

z

-axis, it experiences a force

F_2

y

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

F_2