Question

A charge q moves with velocity v through electric field E as well as magnetic field (B). Then, the force acting on it is ____________.

Options

• q(E × v)

• q(B × v)

• qE +q(v × B)

• q(v × B)

Answer 1

A charge q moves with velocity v through electric field E as well as magnetic field (B). Then, the force acting on it is qE +q(v × B).

Explanation:

The force exerted by an electric field on a charge q is

F_E = qE .........(i)

and as a result of the magnetic field is

F_B = q(v × B)

When a charge particle moves in a combined field, the force that results is called the resultant force.

F = F_E + F_B

= qE +q(v × B)