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Question: Answered & Verified by Expert
If frequency of \(R-L\) circuit is \(f\) then impedence will be
PhysicsAlternating CurrentAIIMSAIIMS 2008
Options:
  • A \(\sqrt{R^2+(2 \pi f L)^2}\)
  • B \(R^2+\left(2 \pi f^2\right)^2\)
  • C \(\sqrt{\left(R^2+L \pi f^2\right)}\)
  • D \(R^2+(2 \pi f)^2\).
Solution:
1797 Upvotes Verified Answer
The correct answer is: \(\sqrt{R^2+(2 \pi f L)^2}\)
Impedance of $R L$ circuit is
$\begin{gathered}Z=\sqrt{R^2+X_L^2} \\ \text { where } X_L=\omega L=2 \pi f L \\ \therefore Z=\sqrt{R^2+(2 \pi f L)^2}\end{gathered}$

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