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A conducting ring of radius 1 meter i...

A conducting ring of radius 1 meter is placed in an uniform magnetic field B o `0.01` T , oscillating with frequency 100 Hz with its plane at right to magnetic field What will be the induced electric field :

A

`pi` volts/m

B

2 volts/m

C

10 volts/m

D

62 volts/m

Text Solution

Verified by Experts

The correct Answer is:
B
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.`
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