JEE Main202431 Jan 2024Morning ShiftPhysicsMagnetic Effects of CurrentActual
An electron moves through a uniform magnetic field B → = B 0 i ^ + 2 B 0 j ^ T . At a particular instant of time, the velocity of electron is u → = 3 i ^ + 5 j ^ m s - 1 . If the magnetic force acting on electron is F → = 5 e k ^ N , where e is the charge of electron, then the value of B 0 is ____ T .
Correct answer
0
Step-by-step solution
Force acting on a charged particle under the magnetic field is given by, F → = q v → × B → . ⇒ 5 e k ⏜ = e 3 i ⏜ + 5 j ⏜ × B 0 i ⏜ + 2 B 0 j ⏜ ⇒ 5 e k ⏜ = e 6 B 0 k ⏜ - 5 B 0 k ⏜ ⇒ B 0 = 5 T