1.

A conducting ring of radius 1 m is placed in a uniform magneticfield B of 0.01T oscillating with frequency 100Hz with its plane at right angle to B. What will be the induced electric field?

Answer»

`piV//m`
`10V//m`
`2V//m`
`62V//m`

Solution :From fraday's law of ELECTROMAGNETIC induction the induced emf is EQUAL to negative rate of change of magnetic flux.
that is `e=-(Deltaphi)/(Deltat)`
flux induced `=2BA cosphi`
where `B` is magnetic field, `A` is area.
Given, `theta=0^(@)=Deltat=(1)/(100)s`
`Deltaf=2xx0.01xxpixx(1)^(2)xx200xcos 0^(@)`
`:. e=(-2x0.01xxpixx(1)^(2)xx200)/(100)=-4pi` volt
circumference of a CIRCLE of radius `r` is `2pir`.
:. induced electric field `E` is
`E=(|e|)/(2pir)=(4pi)/(2pir)=(2)/(1)=2V//m`


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