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Question

The flux linked with a coil at any instant 't' is given by ϕ=10t250t+250. The induced emf at t=3s is

A
-190 V
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B
-10 V
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C
10 V
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D
190 V
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Solution

The correct option is B -10 V
Farady's law states that time varying magnetic flux can induce an e.m.f.
E = Electric field induced
E=dϕdt
E(t)=d(10t250t+250)dt=(20t50)V
E(t=3s)=(20(3)50)V=10V

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