Find the magnitude of the force, Electrical Engineering

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Q. A solenoid of cylindrical geometry is shown in Figure.

(a) If the exciting coil carries a steady direct current I, derive an expression for the force on the plunger.

(b) For the numerical values I = 10A,N = 500 turns, g = 5 mm, a = 20 mm, b = 2 mm, and l = 40 mm, find the magnitude of the force. Assume infinite permeability of the core and neglect leakage.

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