First slide
Motional EMF
Question

A square metallic wire loop of side 0.1 m and resistance of 1Ω is moved with a constant velocity in a magnetic field of 2 Wb/m2 as shown in figure. The magnetic field B is perpendicular to the plane of the loop. This loop is connected to a network of resistances. What should be the velocity of loop so as to have a steady current of 1 mA in loop?

Moderate
Solution

Equivalent resistance of the given Wheatstone bridge circuit (balanced) is 3Ω. So total resistance in circuit is R=3+1=4Ω. The emf induced in the loop, e = Bvl. So, induced current i =eR=BvlR

  10-3=2×v×10-14v=2 cm/s

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