Question

1. A charge particle with mass 0.05 mg and charge 0.0050 C moves through a uniform magnetic field of strength 1.000 T. If the particle moves at a speed of 90 m/s, what is the maximum value of the magnetic force that can act on the particle?

Answer 1

Charge on the particle is

Magnetic field strength is B=1.000T

Speed of the particle is v=90m/s

Magnetic force on a moving charge is

$\vec F=q\vec v\times\vec B$

The magnitude of the force is

F = quB sine

where $\theta$ is the angle between velocity and the magnetic field.

The maximum value of sin(x) is 1. The force is maximum when the value of sine function is 1.

$F_{max}=qvB$

$\boxed{ F_{max}=0.45\ N}$