What will be the force on a charged particle moving in a region where uniform electric as well as magnetic field are acting?

Asked by Topperlearning User | 18th May, 2015, 11:11: AM

Expert Answer:

If a charged particle of mass m, charge q is moving with velocity begin mathsize 11px style straight v with rightwards arrow on top end style and enters a region where a magnetic field begin mathsize 11px style straight B with rightwards arrow on top end style and electric field begin mathsize 11px style straight E with rightwards arrow on top end styleare present simultaneously, and then the force acting on the charged particle is

begin mathsize 11px style straight F with rightwards arrow on top end style = Force due to magnetic field begin mathsize 11px style straight B with rightwards arrow on top end style + Force die to electric field begin mathsize 11px style straight E with rightwards arrow on top end style

begin mathsize 11px style straight F with rightwards arrow on top end style = begin mathsize 11px style straight q open parentheses straight v with rightwards arrow on top space cross times space straight B with rightwards arrow on top close parentheses space plus space straight q straight E with rightwards arrow on top end style

This force is called Lorentz force acting on a charged particle.

Answered by  | 18th May, 2015, 01:11: PM