1.

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

Answer»

the rod MOVES with constant velocity
the rod moves with an acceleration of `(F)/(m+B^(2)l^(2)C)`
there is constant charge on the capacitor.
charge on the capacitor INCREASES with time

Solution :`i=(dq)/(dt)=(d)/(dt)(CvBl)=CBl(dv)/(dt)=Cbla`
`:. F-CB^(2)l^(2)a=ma`
`rArr a=(F)/(M+B^(2)l^(2)C)`
`rArr`emf increases
`rArr ` charge INCREASE.


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