A 50 Hz ac current of peak value 2 A flo...

A 50 Hz ac current of peak value 2 A flows through one of the pair of coils. If the mutual inductance between the pair of coils is 150 mH, then the peak value of voltage induced in the second coil is

`30piV`

`60piV`

`15piV`

`300piV`

Text Solution

Verified by Experts

The correct Answer is:

Magnetic flux linked with coil 2
`varphi=MI_(1)=MI_(0)sinomegat`
`|e|=(dvarphi)/dt=MI_(0)omegacosomegat`
`therefore` peak value
`|e|=MI_(0)omega=150xx10^9-3)xx2xx2pixx50=30pi"Volt"`.

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