A long vertical wire carries a steady 10 A current. A pair of rails are horizont

Question

A long vertical wire carries a steady 10 A current. A pair of rails are horizontal and are 0.1 m apart. A 10.4 ? 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 0.14 m from the wire, as shown. In Figure, at time t1, the induced current in

A long vertical wire carries a steady 10 A current. A pair of rails are horizontal and are 0.1 m apart. A 10.4 ? 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 0.14 m from the wire, as shown. In Figure, at time t1, the induced current in µA is: Express the answer with three decimal places.

Explanation / Answer

magntic filed at the place of bar,

B = mue*I/(2*pi*d)

= 4*pi*10^-7*10/(2*pi*0.14)

= 1.43*10^-5 T

now Apply

induced emf = B*v*L

= 1.43*10^-5*0.7*0.1

= 1*10^-6 A

indued current, I = induce emf/R

= 1*10^-6/(10.4)

= 0.06 micro A

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