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Q.

A conducting wire of length l and mass m can slide without friction on two parallel rails and is connected to capacitance C. The whole system lies in a magnetic field B and a constant force F is applied to the rod. Then

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a

there is constant charge on the capacitor

b

charge on the capacitor increases with time

c

the rod moves with an acceleration of (F)/m+B2l2C

d

the rod moves with constant velocity

answer is B, D.

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Detailed Solution

i=dqdt=ddt(CvBl)=CBldvdt=CBlaFCB2l2a=maa=Fm+B2l2C emf increases as velocity v increases with time and emf = Blv charge increases. 

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A conducting wire of length l and mass m can slide without friction on two parallel rails and is connected to capacitance C. The whole system lies in a magnetic field B and a constant force F is applied to the rod. Then