MHT CET202411 May 2024Evening 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
Options
- ABA ^2 ₀
- B2 BA ^ 3 / 2 ₀
- CBA ^ 1 / 2 ₀ ^ 1 / 2
- D2 BA ^ 3 / 2 ₀ ^ 1 / 2
Correct answer
D. 2 BA ^ 3 / 2 ₀ ^ 1 / 2
Step-by-step solution
Magnetic field at centre of circular loop is given by, B= ₀ I 2 r I= 2 B r ₀ ...(i) For circular loop, A = r ^2 r = A ...(ii) Magnetic moment of the loop will be, aligned & M = IA & M = 2 Br ₀ A ...[From(i)] & M = 2 BA ₀ A ...[From(ii)] & M = 2 BA ^ 3 2 ₀( )^ 1 2 aligned