Two circular loops are centered on the x-axis parallel to the yz-plane. The smal

Question

Two circular loops are centered on the x-axis parallel to the yz-plane. The smaller loop is stationary with radius r = 0.014 m, and resistance R = 0.003 Ohms. The larger loop has radius, s = 0.14 m, carries current I = 1.5 A, and moves towards the smaller loop with speed v = 200 m/s. a) Find the current induced in the smaller loop when the larger loop is x = 0.9 m away. b) What is the direction of current through the smaller loop compared to the direction of current in the larger loop? c) Is it in the same or the opposite direction?

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Explanation / Answer

magnetic field due to the large loop = (muzero * I*x^2) / (r^2+x^2)^(3/2).......here r = 0.14......at x = 0.9 ....

........the value becomes 0.0000020022 T. now, emf in the smaller loop = 0.0000020022*pi*(0.014^2) = 0.23*10^-9.

.......and current = emf / resistance = 0.23*10^-9 / 0.003 = 7.666*10^-8 A....................

by lenz's law, the current flows in the direction opposite to that in the larger loop.

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