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A conducting wire of length l and mass m...

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

A

the rod moves with constant velocity

B

the rod moves with an acceleration of `(F)/(m+B^(2)l^(2)c)`

C

there is constant charge on the capacitor.

D

charge on the capacitor increases with time

Text Solution

Verified by Experts

`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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