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A conducting looop of area 5.0cm^(2) is ...

A conducting looop of area `5.0cm^(2)` is placed in a magnetic field which varies sinusoidally with time as `B=0.2sin300t` . The normal to the coil makes an angle of `60^(@)` with the field. The emf induced at `t=(pi//900)s`

A

`7.5xx10^(-3)V`

B

zero

C

`15xx10^(-3)V`

D

`20xx10^(-3)V`

Text Solution

Verified by Experts

The correct Answer is:
A
`therefore` Magnetic flux,
`phi=BAcostheta=0.2sin(300t)xx5xx10^(-4)xxcos60^(@)`
`=5xx10^(-5)sin(300t)`
`therefore"emf, e"=(dphi)/(dt)=5xx10^(-5)xx300cos(300t)`
`=15xx10^(-2)cos(300xx(pi)/(900))`
`=1.5xx10^(-2)cos(pi//3)=0.75xx10^(-2)=7.5xx10^(-3)V`
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