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

`T=1/100sec`
Flux links with coil changes from BA to 0 in time `T/4` sec
Induced emf = `("Change in flux")/(T//4)=(4BA)/T`
= `(4xx0.01xxpixx(1)^(2))/(1//100)=4piV`
`e=ointEvec(dl)=(-dvarphi)/dt`
`rArrExx2pir=pir^(2)(dB)/dt=e/(2pir)=(4pi)/(2pir)=2V`.