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Can an RLC circuit have the same impedance at two

Chapter 24, Problem 11CQ

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QUESTION:

Problem 11CQ

Can an RLC circuit have the same impedance at two different frequencies? Explain.

Questions & Answers

QUESTION:

Problem 11CQ

Can an RLC circuit have the same impedance at two different frequencies? Explain.

ANSWER:

Step 1 of 2

The impedance is given by

The frequency-dependent quantities in this expression are   and .

Since they enter as the difference squared, there exist two frequencies for which this difference squared is the same.

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