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One conducting U tube can slide inside a...

One conducting U tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes. The magnetic field B is perpendicular to the plane of the figure. If each tube maoves towards the other at a constant speed v. Then the emf induced in the circuit in terms of B, l and v where l is the width of each tube will be

A

`Blv`

B

`-Blv`

C

zero

D

`2 Blv`

Text Solution

Verified by Experts

The correct Answer is:
D
Relative velocity =`upsilon-(-upsilon)=2upsilon=(dl)/(dt)`
Now `e=(dphi)/(dt)`
`e=(Bldl)/(dt) ((dl)/(dt)=2upsilon)`
Inducted `emf e=2 Blupsilon`
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Knowledge Check

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    `(mg R)/(Bl)`
    B
    `(mg R)/(B l^(2))`
    C
    `(mg R)/(B^(2)l^(2))`
    D
    `(mg R)/(B^(2) l)`

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    A
    increase with time
    B
    decrease with time
    C
    remain constant
    D
    always be zero

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    B
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