JEE Main2015PhysicsMagnetic Effects of CurrentActual
Two coaxial solenoids of different radii carry current I in the same direction. Let F 1 → be the magnetic force on the inner solenoid due to the outer one and F 2 → be the magnetic force on the outer solenoid due to the inner one. Then:
Options
- AF 1 → is radially outwards and F 2 → = 0
- BF 1 → = F 2 → = 0
- CF 1 → is radially inwards and F 2 → is radially outwards
- DF 1 → is radially inwards and F 2 → = 0
Correct answer
B. F 1 → = F 2 → = 0
Step-by-step solution
S 2 is a solenoid with more radius than S 1 , the magnetic field of the solenoid S 2 will be along the axis and constant, so the magnetic force on an element of solenoid S 1 will be, d F → 1 = i l → × B → d F → 1 = i l B j ^ × - i ^ = i B l k ^ Similarly, for just next coil the magnetic field is in same direction, but the current element is in opposite direction, so, d F → 1 = i l B - j ^ × - i ^ = - i B l k ^ . From Symmetry, we can say that the overall force will be ca