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COMEDK · Physics · 22. Electromagnetic Induction

The magnetic flux linked with a coil is given by the equation: \(\phi = 8t^2 + t + 10\). The e.m.f. induced in the coil at \(t = 3\) seconds will be:

  1. A 49 V
  2. B 16 V
  3. C 33 V
  4. D 20 V
Verified Solution

Answer & Solution

Correct Answer

(A) 49 V

Step-by-step Solution

Detailed explanation

The magnetic flux linked with the coil is given by \(\phi = 8t^2 + t + 10\). The induced electromotive force (e.m.f.) in the coil is given by Faraday's law of induction: \(\varepsilon = -\dfrac{d\phi}{dt}\). Differentiating the flux with respect to time \(t\):…