Question

A uniform magnetic field of magnitude 0.20 T exists in space from east to west. With what speed should a particle of mass 0.010 g and with charge 1.0 × 10−5 C be projected from south to north so that it moves with uniform velocity?

Answer 1

Explanation:

Uniform magnetic field, B = 0.20 T

Particle’s mass, m = 1 $\times$ 10−5 kg

Charge, q = 1.0 $\times$ 10−5 C

• According to the provided information, with uniform velocity if the particle has to move in the applied field region, the gravitational force practiced by the particle must be equal to the particle’s magnetic force.
• So, qvB = mg, where the uniform velocity is v and the gravity because of acceleration is g.

        ⇒ v = 4.9 $\times$ 10 = 49 m/s