Examples for Magnetic materials
Example #1
(Dipoles were not covered this semester, so this example can be ignored.)
Problem:
Imagine a cylindrical coil of 500 turns carrying a current of 12 amps. The diameter of the coil is 2.5 cm. The coil is placed inside a 2.0 T magnetic field. What is the difference in energy between the coil being aligned parallel and antiparallel to the magnetic field?
Solution:
The energy due to the alignment of one coil is U = IAB cosq. The difference is between cosq = +1 to -1. Thus DU = 2NIAB. The factor of N arises because there are N loops.
DU = 11.8 J