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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`. The whole system lies in amagnetic field `B` and a constant force `F` is applied to the rod . Then

A

(a) the rod moves with constant velocity.

B

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

C

(c ) there is constant charge on the capacitor.

D

(d) charge on the capacitor increases with time.

Text Solution

Verified by Experts

The correct Answer is:
B, D
(b, d):
`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 increases.
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