A wire is formed into a circle having a diameter of 14.0 cm and placed in a unif

Question

A wire is formed into a circle having a diameter of 14.0 cm and placed in a uniform magnetic field of 2.70 mT. The wire carries a current of 5.00 A (a) Find the maximum torque on the wire. 0.071 What is the magnetic moment of this current loop? HN m (b) Find the range of potential energies of the wire-field system for different orientations of the circle. The zero value of potential energy for a magnetic moment in a magnetic field is taken to occur when the plane of the loop is parallel to the field. Mu J. What orientation of the loop will correspond to the largest potential energy? Mu J

Explanation / Answer

(A) u = I A = (5 A) (pi x 0.07^2 m^2)

= 0.077 A m^2

torque = u X B

torque_max = u B = (0.077) (2.7 x 10^-3)

= 207.8 x 10^-6 N m

= 207.8 uN.m

(B) U = u.B

minimum = - 207.8 uJ

max = 207.8 uJ

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