A Conducting ring of radius 1 meter is placed in an uniform magnetic field `B` of `0.01` tesla oscillating with frequency `100 Hz` with its plane at right angles to `B`. What will be the induced electric field?

Options

A. `pi` volt /m
B. 2 volt/m
C. 10 volt/m
D. 62 volt/m

Answer

B

Explanation

In a constant magnetic field conducting ring oscillates with a frequency of `100Hz`.
i.e, `T=(1)/(100)s`, in time `(T)/(2)` flux links with coil changes from `BA` to zero.
`implies"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 equation `ointE.dl=-(dvarphi)/(dt)=A(db)/(dt)=e`
`impliesE=(1)/(2pir)xx(pir^(2)xx(dB)/(dt))=(e)/(2pir)=(4pi)/(2pir)=2V//m`