JEE Main20206 Sep 2020Evening ShiftPhysicsMagnetic Effects of CurrentActual
A charged particle going around in a circle can be considered to be a current loop. A particle of a mass m carrying charge q is moving in a plane with speed v under the influence of magnetic field B → . The magnetic moment of this moving particle is :
Options
- Am v 2 B → 2 B 2
- B- m v 2 B → 2 πB 2
- C− m v 2 B → B 2
- D− m v 2 B → 2 B 2
Correct answer
D. − m v 2 B → 2 B 2
Step-by-step solution
i = q T = q v 2 π r M = i × π r 2 = 2 v 2 π r × π r 2 = 1 2 q v × m v q B Direction of M → is opposite of B → therefore M → = - mv 2 B → 2 B 2