The magnetic moment of the coil is μ = NIA, perpendicular to the plane of the coil, making an angle φ = 60° with the x axis as shown in the diagram. The direction of the vector B is along the x axis.
(a) The torque on the dipole is given by the cross product τ = μ × B, pointing down in the diagram and having a magnitude τ = NBAI sin φ, where A is the area of the rectangle, N is the number of coils in the rectangular loop, B is the magnitude of the magnetic field, I is the current, and φ is the angle between the magnetic moment and the magnetic field B. Substituting the given values, we have