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Question: Answered & Verified by Expert
The magnetic flux linked with a coil, in webers, is given by the equations $\phi=3 t^2+4 t+9$. Then the magnitude of induced e.m.f. at $t=2$ second will be
PhysicsElectromagnetic InductionJEE Main
Options:
  • A $2$ volt
  • B $4$ volt
  • C $8$ volt
  • D $16$ volt
Solution:
1280 Upvotes Verified Answer
The correct answer is: $16$ volt
$e=-\frac{d \phi}{d t}=-\frac{d}{d t}\left(3 t^2+4 t+9\right)=-(6 t+4)$
$e=-[6(2)+4]=-16 \Rightarrow|e|=16 \mathrm{~volt}$

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