MHT CET20227 Aug 2022Morning ShiftPhysicsMagnetic Effects of CurrentActual
A toroid has a core of inner radius r₁ and outer radius r₂ , around which N turns of wire are wound. If the current in the wire is I then the magnetic field inside the toroid is ( ₀= permeability of free space)
Options
- A₀ N I 2 (r₁+r₂ )
- B₀ N I (r₁+r₂ )
- C₀ N I 2 (r₂-r₁ )
- D₀ N I (r₂-r₁ )
Correct answer
B. ₀ N I (r₁+r₂ )
Step-by-step solution
Considering Ampearian loop at the centre of toroid: B . d l = ₀ N I Since, B has radial symmetry & angle between B & d l is zero aligned & B d l=B 2 r₁+r₂ 2 = ₀ N I & B= [ ₀ N I (r₁+r₂ ) ] aligned