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Q.

A rectangular loop with a sliding connector of length l=1.0 m is situated in a uniform magnetic field B = 2 T perpendicular to the plane of loop. Resistance of connector is r = 2 Ω. Two resistances of 6 Ω and 3 Ω are connected as shown in figure. The external force required to keep the connector moving with a constant velocity v = 2 m/s is

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answer is 3.

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Detailed Solution

Motional emf  This acts as a cell of emf  E = 4 V and internal resistance  r = 2Ω .This simple circuit can be drawn as followsCurrent through the connector    magnetic force on connector             (Towards left)Hence, the external force should be 2 N towards right.
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