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# Example 6-1: Inductor in a ChangingMagnetic FieldAn inductor is formed by winding N turns of a thin conductingwire into a circular loop of radius a. The inductor loop is inthe x–y plane with its center at the origin, and connected to aresistor R, as shown in Fig. 6-3. In the presence of a magneticfield B = B0(yˆ2+zˆ3)sin ωt, where ω is the angular frequency,find(a) the magnetic flux linking a single turn of the inductor,(b) the transformer emf, given that N = 10, B0 = 0.2 T,a = 10 cm, and ω = 103 rad/s,(c) the polarity of V tremf at t = 0, and(d) the induced current in the circuit for R = 1 k’ (assumethe wire resistance to be much smaller than R)

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