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Question: Answered & Verified by Expert
Magnetic flux $\varphi$ (in weber) linked with a closed circuit of resistance 10 ohm varies with time $t$ (in seconds) as
$\phi=5 t^2-4 t+1$ The induced electromotive force in the circuit at $t=0.2 \mathrm{sec}$. is
PhysicsElectromagnetic InductionJEE Main
Options:
  • A $0.4$ volts
  • B $-0.4$ volts
  • C $-2.0$ volts
  • D $2.0$ volts
Solution:
1610 Upvotes Verified Answer
The correct answer is: $2.0$ volts
$e=-\frac{d \phi}{d t}=-(10 t-4)$ $\Rightarrow(e)_{t=2}=-(10 \times0.2-4)=2 \mathrm{volt}$

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