A rectangular, 50-turn coil has sides 6.0 and 8.0 cm long and carries a current of 1.75

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A rectangular, 50-turn coil has sides 6.0 and 8.0 cm long and carries a current of 1.75 A. It is oriented as shown in Figure and pivoted about the z axis.

(a) If the wire in the xy plane makes an angle ? = 37o with the y axis as shown, what angle does the unit normal n make with the x axis?

(b) Write an expression for n in terms of the unit vectors i and j.

(c) What is the magnetic moment of the coil?

(d) Find the torque on the coil when there is a uniform magnetic field B = 1.5 T j.

(e) Find the potential energy of the coil in this field.

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