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Q.

A horizontal wire 0.8 m long is falling at a speed of 5 m/s perpendicular to a uniform magnetic field of 1.1 T, which is directed from east to west. Calculate the magnitude of the induced emit in the rod .

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a

8.4 V, south end positive .

b

7.4 V, north end positive 

c

6.4 V, south end positive 

d

4.4 V, North end positive 

answer is D.

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Detailed Solution

The rod is aligned along north -south . e=Bvl=1.1×5×0.8 =4.4 V Magnetic force on each free electron is given by ,Fe=-ev×B and so this force is directed towards south .Therefore free electrons will be accumulated at the south end  and the north end of the rod will acquire positive polarity . 

 

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A horizontal wire 0.8 m long is falling at a speed of 5 m/s perpendicular to a uniform magnetic field of 1.1 T, which is directed from east to west. Calculate the magnitude of the induced emit in the rod .