Let the coil of the solenoid of Problem 12.4.6 have a resistance R and be excited by a voltage v = Vm sin ωt. Consider a plunger displacement of g = g0.
(a) Obtain the expression for the steady-state coil current.
(b) Obtain the expression for the steady-state electric force.
Consider the solenoid with a core of square cross section shown in Figure P12.4.6.
(a) For a coil current I (dc), derive an expression for the force on the plunger.
(b) Given I = 10 A, N = 500 turns, g = 5 mm, a = 20 mm, and b = 2 mm, calculate the magnitude of the force.
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