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AIIMS 2008
Exam
AIIMS
Year
2008
Subject
Physics
Chapter
Alternating Current

AIIMS 2008 · Physics · Alternating Current

If frequency of R-L circuit is f then impedence will be

If frequency of R−LR-L circuit is ff then impedence will be

Options

  1. A(\sqrt{R^2+(2 \pi f L)^2})
  2. B(R^2+\left(2 \pi f^2\right)^2)
  3. C(\sqrt{\left(R^2+L \pi f^2\right)})
  4. D(R^2+(2 \pi f)^2).

Correct answer

A. (\sqrt{R^2+(2 \pi f L)^2})

Step-by-step solution

Impedance of RLR L circuit is Z=R2+XL2 where XL=ωL=2πfL∴Z=R2+(2πfL)2\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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