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Problem 2: Consider a 1m long solenoid with a diameter of 20mm consisting of three layers (ignore the thickness of the wire) of windings of 1000 turns each and carrying a current of 1A. Find the magnetic flux at the center of the solenoid, when (a) the solenoid is filled with air; (b) the material of the core is magnetic iron (you can find the relative permeability in textbook). Problem 3: A solenoid type actuator with 1000 turns has a current of SA. If the diameter of the air gap is 10mm, then evaluate the force on the plunger when the length of air gap is (a) 1mm, (b) 10mm, and (c) 50mm.
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