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` volts/m
B. 2 volts/m
C. 10 volts/m
D. 62 volts/m

Answer

B

Explanation

AS a constant magnetic field conducting ring oscillates with a frequency of 100 Hz.
i.e. `T=(1)/(100)"s, for "(T)/(2),` it goes up to B
`therefore` The corresponding frequency is 200 Hz.
Induced emf `=("change in flux")/("time")`
`=(2BA cos theta)/(T)-=2BA f cos theta`
`=pi r^(2)xx2xx0.01xx200" as "r=1 m`
`=pi r^(2)xx2xx0.01xx200 = 4pi V.`
Non-electrostatic induced electric field along the circle,
`E=(1)/(2pi r)xx(pi r^(2)xx(db)/(dt))=(e)/(2pi r)=(4pi)/(2pi r)=2` V//m.`