A tightly wound solenoid 20 cm long has 400 turns and carries a current of 4 A such that its axial field is in the z direction. Neglecting end effects, find B and Bapp at the center when
(a) There is no core in the solenoid, and
(b) There is an iron core with a magnetization M = 1.2 × 106 A/m.
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