A 30°-60°-90° triangular loop with hypotenuse aylies in the x-y plane and carries a constant currentI that circulates in the clockwise direction. A uniform magnetic field B points in the +xdirection. See the accompanying figure. Given quantities: a-5 cm, B=0.1 T, I=2 A.

) Calculate the forces on each of the three sides of the current loop (AB, BC, and CA), and sum them to find the net force on the loop. Remember that you will be adding vectors,so express each force in terms of its components. ) Analyzing the directions of the forces you found in part (a), it should be clear that the loop's experiencing a net torque. In which direction does the torque vector point? c) Calculate the magnetic moment of the loop. Recall that is a vector, so you must also-specify its direction. ) Use the value of μ from part (c) to calculate the torque (also a vector). Note the relative simplicity of this calculation in comparison with part (a). In which direction would the B field have to point in order to exert no torque on the triangular current loop? What would be the potential energy U of the loop in this case?