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What is the impedance \[Z\] of the series RLC circuit?

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Question

What is the impedance \[Z\] of the series RLC circuit?

Options

  • \[Z=\sqrt{R^2+(X_C+X_L)^2}\]

  • \[Z=\sqrt{R^2+(X_C-X_L)^2}\]

  • \[Z=\sqrt{R^2+X_C^2+X_L^2}\]

  • \[Z=R+X_C-X_L\]

MCQ
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Solution

Impedance is defined as \[Z=\sqrt{R^2+(X_C-X_L)^2}\]. It combines resistance with the difference between capacitive and inductive reactance.

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