AP EAMCET201923 Apr 2019Morning ShiftPhysicsMagnetic Effects of CurrentActual
Magnetic field at the centre of a circular loop of area (A ) is (B ). Then the magnetic moment of the loop is ( ( ₀ )-permeability of the free space)
Options
- A( B A^2 ₀ )
- B( B A A ₀ )
- C( B A A ₀ )
- D( 2 B A A ₀ )
Correct answer
D. ( 2 B A A ₀ )
Step-by-step solution
As we know, the magnetic field due to a current carrying circular loop at the centre, (B= ₀ i 2 R ) ...(i) So, the magnetic moment of the Loop, (M=i A ) From Eq. (i), we get ( aligned & & M & = 2 B R ₀ A & & A & = R^2 & & R & = A & Hence, & M & = 2 B A A ₀ aligned ) Hence, the correct option is (d).