FCC Exam Question: 3-54G3

What is the resonant frequency in an electrical circuit?

A. The frequency at which capacitive reactance equals inductive reactance.
B. The highest frequency that will pass current.
C. The lowest frequency that will pass current.
D. The frequency at which power factor is at a minimum.
Correct Answer: A

Explanation: Resonant frequency occurs when the inductive reactance ($X_L$) of a circuit precisely equals its capacitive reactance ($X_C$). At this specific frequency, these opposing reactances cancel each other out. This makes the circuit appear purely resistive, allowing maximum current flow in a series RLC circuit or maximum voltage across the reactive components in a parallel RLC circuit. This principle is fundamental for tuning radio receivers and transmitters, allowing selection of a specific frequency. Options B and C are incorrect because resonant frequency is a specific condition where reactances balance, not simply the highest or lowest frequency that will pass current, which relates more to filter characteristics. Option D is also incorrect; at resonance, the power factor is actually at its *maximum* (unity, or 1), indicating that all power is real and consumed by resistance, with no reactive power.

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Includes Elements 1, 3, 6, 7R, 8, and 9.