1.

A conducting ring of radius `1` meter is placed in an uniform magnetic field `B` of `0.01` tesla coscilliating with frequency `100Hz` with its plane at right angles to `B`. What will be the induced electric field.A. `pivolt//m`B. `2volt//m`C. `10volt//m`D. `20volt//m`

Answer» Correct Answer - B
In a constant magnetic field conducting ring oscillates with a frequaency of `100Hz`.
i.e., `T=1//100s`, in time `T//2` flux links with coil changes from `BA` to zero.
:. Induced emf `=("change in flux")/("time")`
`=(BA)/(T//2)=(2BA)/(T)`
`=2Bxxpir^(2))/(T)`
`(2xx0.01xxpixx1^(2))/(1//100)=4piV`
induced electric field along the circle, using maxwell
equatiion `ointE.dl=-(dphi)/(dt)=A(dB)/(dt)=e`
:. `E=(1)/(2pir)xx(pir^(2)xx(dB)/(dt))=(e)/(2pir)=(4pi)/(2pir)=2V//m`


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