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MHT CET · Physics · Electromagnetic Induction

If the current flowing through a coil is reduced by \(50 \%\) then, the energy in the coil will

  1. A Be unchanged
  2. B Decrease by \(25 \%\)
  3. C Decrease by \(75 \%\)
  4. D Increase
Verified Solution

Answer & Solution

Correct Answer

(C) Decrease by \(75 \%\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \frac{E_1}{E_2}=\frac{\frac{1}{2} L\left(\frac{I}{2}\right)^2}{\frac{1}{2} L^2}=\frac{1}{4} \\ & E_2=\frac{1}{4} \mathrm{E} 1\end{aligned}\)
\(\therefore \mathrm{E}_1-\mathrm{E}_2=\frac{3}{4} \mathrm{E}_1\).