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A circular loop of wire with area A lies in the xy-plane. As viewed along the...

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(3i^−3j^), 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=15D/IA.

Determine the component Bx of B⃗ .

Determine the component By of B⃗ .

Determine the component Bz of B⃗ .

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