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 anglesto B. What will be the induced electric field.

Answer»

`pivolt//m`
`2volt//m`
`10volt//m`
`20volt//m`

Solution :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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