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The flux linked with a coil at any insta...

The flux linked with a coil at any instant 't' is given by `phi=10t^2-50t+250`. The induced emf at t=3s is ____

A

10 V

B

190 V

C

`-190V`

D

`-10V`

Text Solution

Verified by Experts

The correct Answer is:
D
Induced emf `epsilon=-(dphi)/(dt)=-d/(dt)[10t^2-50t+250]`
=-[20t-50]
Taking t=3
`therefore epsilon=-[20xx3-50]`
=-[60-50]
`therefore epsilon` =-10 V
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