MHT CET20242 May 2024Morning ShiftPhysicsMagnetic Effects of CurrentActual
The magnetic field at the centre of a current carrying circular coil of area ' A ' is ' B '. The magnetic moment of the coil is ( ₀= permeability of free space)
Options
- A2 ₀ ^ 1 / 2 BA ^ 3 / 2
- BBA ^ 3 / 2 ₀
- C2 B ~A ^ 3 / 2 ₀ ^ 1 / 2
- DBA ^2 ₀
Correct answer
C. 2 B ~A ^ 3 / 2 ₀ ^ 1 / 2
Step-by-step solution
array ll & A= r^2 r= A & B= ₀ I 2 r = ₀ I 2 A & I= 2 B ₀ A array Magnetic moment m = IA IA = 2 ~B ₀ ~A A = 2 BA ^ 3 / 2 ₀ ^ 1 / 2