A rectangular loop with a sliding connector of length l = 1.0 m is situated in a uniform magnetic field B = 2T perpendicular to the plane of loop. Resistance of connector is r = 2 $Ω$ . Two resistance 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 = 2m/s is

Question

Infinity Learn · Accepted Answer

Motional emf  $$e=Bvl$$⇒$$e=2$$×$$2$$×$$1=4$$ VThis acts as a cell of emf E $$=$$ $$4$$ V and internal resistance $$r=2$$Ω .This simple circuit can be drawn as follows Current through the connector  $$i=42+2=1$$ A∴magnetic force on connector $$Fm=Bil=2$$×$$1$$×$$1=2$$ N  (Towards$$ $$left)     A force of $$2N$$ has to be applied towards right.

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