An alternating current I (t) = I0 cos(?t) (amplitude 0.5
Chapter 7, Problem 26P(choose chapter or problem)
Problem 26P
An alternating current I (t) = I0 cos(ωt) (amplitude 0.5 A, frequency 60 Hz) flows down a straight wire, which runs along the axis of a toroidal coil with rectangular cross section (inner radius 1 cm, outer radius 2 cm, height 1 cm, 1000 turns). The coil is connected to a 500 Ωresistor.
(a) In the quasistatic approximation, what emf is induced in the toroid? Find the current, IR(t), in the resistor.
(b) Calculate the back emf in the coil, due to the current IR(t). What is the ratio of the amplitudes of this back emf and the “direct” emf in (a)?
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