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Figure shows a conducting rod of negligi...

Figure shows a conducting rod of negligible resistance that can slide on smooth U-shaped rail made of wire of resistance `1Omega//m`. Position of the conducting rod at `t=0` is shown. A time dependent magnetic field `B=2t` tesla is switched on at `t=0`

The current in the loop at `t=0` due to induced emf is

A

`0.16 A`,clockwise

B

`0.08 A`,clockwise

C

`0.08 A`,anticlockwise

D

zero

Text Solution

Verified by Experts

The correct Answer is:
A
`(dB)/(dt)=2T//s`
`E=-(AdB)/(dt)=-800xx10^(-4)m^(2)xx2=-0.16 V`
`i=0.16/(1 Omega)=0.16 A`,clockwise
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Knowledge Check

  • Figure shows a conducting rod of negligible resistance that can slide on smooth U-shaped rail made of wire of resistance 1Omega//m . Position of the conducting rod at t=0 is shown. A time dependent magnetic field B=2t tesla is switched on at t=0 The magnitude of the force required to move the conducting rod at constant speed 5cm/s at the same instant t=2s , is equal to

    A
    `0.096N`
    B
    `0.12N`
    C
    `0.08N`
    D
    `0.064N`

  • Figure shows a conducting rod of negligible resistance that can slide on smooth U-shaped rail made of wire of resistance 1Omega//m . Position of the conducting rod at t=0 is shown. A time dependent magnetic field B=2t tesla is switched on at t=0 At t=0 , when the magnetic field is switched on, the conducting rod is moved to the left at constant speed 5cm//s by some external means. At t=2s , net induced emf has magnitude

    A
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    B
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    D
    `0.02V`

  • Figure shows a conducting rod of negligible resistance that can slide on smooth U -shaped rail made of wire of resistance 1Omega//m .Position of the conducting rod at t=0 is shown.A time t dependent magnetic field B=2t Tesla is switched on at t=0 . Following situation of the previous question, the magnitude of the force required to move the conducting rod at constant speed 5cm//s at the same instant t=2s , is equal to

    A
    `0.16 N`
    B
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    C
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