A cylindrical solenoid is shown in Figure P13.36. The plunger may move freely along its axis. The air gap between the shell and the plunger is uniform and equal to 1 mm, and the diameter d is 25 mm. If the exciting coil carries a current of 7.5 A, find the force acting on the plunger when x = 2 mm. Assume N = 200 turns, and neglect the reluctance of the steel shell. Assume lg is negligible.
Figure P13.36
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