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Q.

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 value3Ω . 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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a

20m/s

b

2m/s

c

200m/s

d

0.02m/s

answer is A.

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Detailed Solution

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e=iR=BlV

=1×103×4=2×101V

V=0.02m/s

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A square metal wire loop of side 10 cm and resistance 1 Ω  is moved with a constant velocity v0 in a uniform magnetic field of induction B=2 weber/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 value3 Ω . 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