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A rectangular coil of single trun, havin...

A rectangular coil of single trun, having area `A` , rotates in a uniform magnetic field `B` with an angular velocity `omega` about an axis prependicular to the field. If initially the plane of the coil is perpendicular to the field, then the average induced emf when it has rotate through `90^(@)` is

A

`(omegaBA)/pi`

B

`(omegaBA)/(2pi)`

C

`(omegaBA)/(4pi)`

D

`(2omegaBA)/pi`

Text Solution

Verified by Experts

The correct Answer is:
D
`phi_(1)=BA`
`phi_(2)=0`
`e=(Deltaphi)/(Deltat)`
`e=(BA)/(T//4)` and
`T=(2pi)/omega`
`e=(4BA)/T=(4BAxxomega)/(2pi)=(4BAomega)/pi`
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