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Faraday's law of Electromagnetic induction

Question

The magnetic flux linked with coil, in weber, is given by the equation, ϕ=5t2+3t+16 The induced emf in the coil in the fourth second is

Moderate
Solution

|e|=dt=ddt5t2+3t+16=(10t+3)

 When t=3s,e3=(10×3+3)=33V When t=4s,e4=(10×4+3)=43V

Hence, emf induced in fourth second

=e4e3=4333=10V



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