Question

Force experienced by a charged particle in an electromagnetic field is zero. If the charge on the particle is q, velocity of the particle is and the electric and magnetic fields are E and B respectively, then which of the following is possible?​

Answer 1

Given:

Force experienced by a charged particle in an electromagnetic field is zero. The charge on the particle is q, velocity of the particle is and the electric and magnetic fields are E and B respectively.

To find:

• All possibilities in this case?

Calculation:

• Since the net force experienced by the charge is zero, the charge is in equilibrium.

• This means that the magnetic force and the electrical force add equal and opposite to one another.

$\therefore F_{B}=F_{E}$

$\implies qvB= qE$

$\implies vB= E$

So, a possibility is :

$\boxed{ vB= E}$