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NEET 2020
Exam
NEET
Year
2020
Subject
Physics
Chapter
Electromagnetic Induction

NEET 2020 · Physics · Electromagnetic Induction

The magnetic flux linked with a coil (in Wb ) is given by the...

The magnetic flux linked with a coil (in WbWb) is given by the equation ϕ=5t2+3t+16ϕ = 5{t}^{2} + 3t + 16. The magnitude of induced emf in the coil at the fourth second will be:

Options

  1. A33V33V
  2. B43V43V
  3. C108V108V
  4. D10V10V

Correct answer

B. 43V43V

Step-by-step solution

Given magnetic flux in terms of time, ϕ=5t2+3t+60ϕ = 5{t}^{2} + 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⇒ | ε | = \left|\dfrac{dϕ}{dt}\right| = 10t + 3

At t=4st = 4s, ∣ε∣=40+3=43V| ε | = 40 + 3 = 43V

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