STANDARDPhysics-Magnetism and Matter

STANDARD Physics Magnetic Moment MCQ Question

Type: MCQ-conceptual-Medium-Class 12

Magnetic field at the centre of a circular loop of area A is B. The magnetic moment of the loop is

A

BA²/μ₀π

B

BA/√A

C

BA√A/μ₀

D

2BA√A/μ₀π

Correct Answer

Option D

Detailed Explanation

Let r be the radius of the circular loop. Therefore, A = πr² or r = √(A/π). The magnetic field at the centre of the loop is given by B = (μ₀I)/(2r). Solving for the magnetic moment, we find it to be 2BA√A/μ₀π.

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