A long vertical wire carries a steady 9 A current A pair of rails are horizontal

Question

A long vertical wire carries a steady 9 A current A pair of rails are horizontal and are 0.3 m apart A 17.1 Ohm resistor connects points a and b, at the end of the rails. A bar is in contact with the rails, and is moved by an external force with a constant velocity of 0.7 m/s as shown. The bar and the rails have negligible resistance. At a given instant t1, the bar is 0.17 m from the wire, as shown. In Figure, at time t1, the induced current in mu A is: Express the answer in three decimal places.

Explanation / Answer

induced emf E = Blv

B = [4*pi*10^(-7) * (I)] / [2*pi*d] = 2*10^(-7) / 0.17 = 11.76 * 10^(-7) T

E = 11.76 * 10^(-7) * 0.3 * 0.7 = 2.47 * 10^(-7) V

i = V/R = 2.47 * 10^(-7) / 17 = 1.453 * 10^(-8) = 145.3 uA (answer)

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