------------- A wire is formed into a circle having a diameter of 10.0 cm. It is
ID: 2101579 • Letter: #
Question
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A wire is formed into a circle having a diameter of 10.0 cm. It is placed in a uniform magnetic field of 3.00 mT. The wire carries a current of 5.00 amps. Determine the magnetic dipole moment. Determine the maximum torque on the wire. Find the minimum and maximum potential energies of the wire-field system, and indicate the orientation of the dipole moment with regard to the magnetic field for each. Use the values found in (c) to determine the work done on the loop when it rotates from maximum to minimum potential energy.Explanation / Answer
a. dipole moment = i XA = 5 * 3.14 * 0.05 *0.05 = 0.039 Am^2
b. T = NiAB = 0.039 * 0.003 = 1.17 *10^-4 N-m
c. PEmax = UB = uB sin 90 = 1.17 *10^-4 J
PE min = uB sin 0 = zero
d. work done W = U1-u2 = 1.17 *10^-4 J
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