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Question: Answered & Verified by Expert
If the current flowing through a coil is reduced by $50 \%$ then, the energy in the coil will
PhysicsElectromagnetic InductionMHT CETMHT CET 2022 (07 Aug Shift 1)
Options:
  • A Be unchanged
  • B Decrease by $25 \%$
  • C Decrease by $75 \%$
  • D Increase
Solution:
2269 Upvotes Verified Answer
The correct answer is: Decrease by $75 \%$
$\begin{aligned} & \frac{E_1}{E_2}=\frac{\frac{1}{2} L\left(\frac{I}{2}\right)^2}{\frac{1}{2} L^2}=\frac{1}{4} \\ & E_2=\frac{1}{4} \mathrm{E} 1\end{aligned}$
$\therefore \mathrm{E}_1-\mathrm{E}_2=\frac{3}{4} \mathrm{E}_1$.

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