The magnetic flux linked with a coil (in Wb ) is given by the equation ϕ = 5 t 2 + 3 t + 16 . The magnitude…

The magnetic flux linked with a coil (in Wb) is given by the equation  ϕ=5t2+3t+16. The magnitude of induced emf in the coil at the fourth second will be:

  1. 33 V
  2. 43 V
  3. 108 V
  4. 10 V

Solution

Given magnetic flux in terms of time, ϕ=5t2+3t+60, and we know that from Faraday's law of electromagnetic induction, rate of change of flux is directly related to induced EMF of the coil, 

⇒|ε|=dϕdt=10t+3

At t=4 s, |ε|=40+3=43 V

Asked in: NEET 2020 (Phase 2)

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