Updated: Dec 9, 2025 | Source: 2023-2027 Question Pool | Topic: G5A
G5A01G5A

What happens when inductive and capacitive reactance are equal in a series LC circuit?

Deep Dive: G5A01

The correct answer is C: Resonance causes impedance to be very low. What happens when inductive and capacitive reactance are equal in a series LC circuit is that resonance causes impedance to be very low. At resonance, inductive and capacitive reactance cancel, leaving only resistance, so impedance is minimum. For amateur radio operators, this explains how resonant circuits work. Understanding this helps when designing filters and matching networks.

Why Other Answers Are Wrong

Option A: Incorrect. Resonance doesn't cause very high impedance in a series LC circuit - it causes very low impedance. High impedance is for parallel LC circuits. Option B: Incorrect. Impedance isn't the geometric mean - at resonance, reactances cancel, leaving only resistance. Geometric mean isn't the relationship. Option D: Incorrect. Impedance isn't the arithmetic mean - at resonance, reactances cancel, leaving only resistance. Arithmetic mean isn't the relationship.

Exam Tip

Series LC at resonance = impedance very low. Think 'S'eries 'L'C = 'S'eries 'L'ow impedance at resonance. Inductive and capacitive reactance cancel, leaving only resistance, so impedance is minimum. Not high impedance, not geometric/arithmetic mean - just low impedance.

Memory Aid

Series LC at resonance = impedance very low. Think 'S'eries 'L'C = 'S'eries 'L'ow impedance. Inductive and capacitive reactance cancel, leaving only resistance, so impedance is minimum. Key characteristic of series resonance.

Real-World Example

A series LC circuit at resonance: Inductive reactance (XL) and capacitive reactance (XC) are equal and opposite, canceling each other. Only the circuit resistance remains, so impedance is very low (just the resistance). This is why series LC circuits are used for filters and matching - they present low impedance at resonance.

Source & Coverage

Question Pool: 2023-2027 Question Pool

Subelement: G5A

Reference: 2023-2027 Question Pool · G5 - Electrical Principles

Key Concepts

Series LC circuit Resonance Low impedance Reactance cancellation

Verified Content

Question from the official FCC General Class pool. Explanation reviewed by licensed amateur radio operators and mapped to the G5A topic.