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A square metal wire loop of side 10 cm and resistance 1Ω is moved with a constant velocity v₀ in a uniform magnetic field of induction B=2weber/m² as shown in the figure. The magnetic field lines are perpendicular to the plane of the loop (directed into the paper). The loop is connected to a network of resistors each of value 3Ω. The resistances of the lead wires OS and PQ are negligible. What should be the speed of the loop so as to have a steady current of 1 mA in the loop ?

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200 m/s

20 m/s

0.02m/s

2m/s

answer is A.

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Detailed Solution

$V = \frac{i (R + r)}{Bl}; V = \frac{i (R + r)}{Bl} = 0 .02 V$

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