Question

Consider a rod of length l moving at speed v in an external magnetic field B,...

Consider a rod of length l moving at speed v in an external magnetic field B, inducing an emf ε. The moving rod is placed on a fixed conductive rail with resistance R. If the magnetic field is divided by 2, the external force that will be required to maintain the speed of the rod constant will:  

be divided by 3

increase by a factor of 3

remain constant

increase by a factor of 9

be divided by 9

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Answer #1

Due to induced motional emf there will an induced current which will flow through the resistance circuit.

Due to resistance power will be dissipated which is equal to =

To maintain the velocity of rod an external force is required which has power equal to the dissipated power

If B = B/2 then

F will we divided by 4 i.e. F will be decreased by 4 times

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