Updated: Dec 9, 2025 | Source: 2024-2028 Question Pool | Topic: E9G
E9G04E9G

What are the two families of circles and arcs that make up a Smith chart?

Deep Dive: E9G04

The correct answer is C: Resistance and reactance. The two families of circles and arcs that make up a Smith chart are resistance and reactance. Resistance is represented by circles, and reactance is represented by arcs. The Smith chart consists of two families of curves: circles of constant resistance and arcs of constant reactance. Resistance circles are horizontal circles centered on the horizontal axis. Reactance arcs are curved lines - inductive reactance in the upper half, capacitive reactance in the lower half. Together, these two families create a grid where any impedance (R + jX) can be plotted. The intersection of a resistance circle and a reactance arc gives you a specific impedance point. This is the fundamental structure of the Smith chart.

Why Other Answers Are Wrong

Option A: Incorrect. Inductance and capacitance aren't the two families. The chart uses resistance and reactance, which can represent inductive or capacitive components. Option B: Incorrect. Reactance and voltage aren't the two families. The chart uses resistance and reactance. Option D: Incorrect. Voltage and impedance aren't the two families. The chart uses resistance and reactance as the coordinate system.

Exam Tip

Smith chart families = Resistance and reactance. Remember: The two families making up a Smith chart are resistance (circles) and reactance (arcs). Together they represent all possible impedances.

Memory Aid

**S**mith **C**hart **F**amilies = **R**esistance + **R**eactance (think 'SCF = R+R')

Real-World Example

You look at a Smith chart. You see circles representing constant resistance (maybe 0, 25, 50, 100, infinity ohms) and arcs representing constant reactance (maybe -j100, -j50, 0, +j50, +j100 ohms). These two families of curves create the grid where you plot impedances.

Source & Coverage

Question Pool: 2024-2028 Question Pool

Subelement: E9G

Reference: FCC Part 97.3

Key Concepts

Smith chart Resistance Reactance Circles and arcs

Verified Content

Question from the official FCC Extra Class pool. Explanation reviewed by licensed amateur radio operators and mapped to the E9G topic.