A wire has a length of 6.72 × 10-2 m and is used to make a circular coil of one turn. There is a current of 3.33 A in the wire. In the presence of a 8.42-T magnetic field, what is the maximum torque that this coil can experience?
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Verified answer
I don't recall having studied magnetic fields, but I'll give it a shot.
magnetic moment µ = I*A
where I is the current in the loop = 3.33 A
and A is the area = πr² = π(L/2π)² = L² / 4π = (6.72e-2m)² / 4π = 3.59e-4 m²
so
µ = 0.00120 A·m²
torque τ = µ x B
and the torque is at a maximum when µ and B are perpendicular, making
max τ = 0.00120A·m² * 8.42T = 0.0101 N·m
Does that look reasonable to you?