MHT CET202012 Oct 2020Morning ShiftPhysicsMagnetic Effects of CurrentActual
Magnetic field at the centre of a circular loop of area 'A' is ' B^ '. The magnetic moment of the loop will be ( ₀= . permeability of free space)
Options
- AB A^ 3 2 ₀
- B2 ~B A^ 3 2 ₀ ^ 1 2
- C2 BA ² ₀
- DB A^ 3 2 ₀ ^ 1 2
Correct answer
B. 2 ~B A^ 3 2 ₀ ^ 1 2
Step-by-step solution
If r is the radius of the circular loop them the area of the loop A = r ² r = A The magnetic field at the centre is given by B = ₀ I 2 r = ₀ I 2 A I= 2 B ₀ A Magnetic moment array c M = IA = 2 ~B ₀ A A = 2 BA ^ 3 / 2 ^ 1 2 array