Question

A circular loop of wire with area A lies in the xy-plane. As viewed along the z-axis looking in the −z-direction toward the origin, a current I is circulating clockwise around the loop. The torque produced by an external magnetic field B⃗ is given by τ⃗=D(5i − 5j), where D is a positive constant, and for this orientation of the loop the magnetic potential energy U = −μ⃗⋅B⃗ is negative. The magnitude of the magnetic field is B₀ = 14D / IA.

A. Determine the vector magnetic moment of the current loop. (Express your answer in terms of the variables I, A, i^, j^, and k^).

B. Determine the component B_x of B⃗.

C. Determine the component By of B⃗.

D. Determine the component Bz of B⃗.

Answer 1