Updated: Dec 9, 2025 | Source: 2024-2028 Question Pool | Topic: E9G
E9G02E9G

What type of coordinate system is used in a Smith chart?

Deep Dive: E9G02

The correct answer is B: Resistance circles and reactance arcs. A Smith chart uses a resistance circles and reactance arcs coordinate system. The chart is a circular graph with constant resistance circles and constant reactance arcs. The Smith chart has two families of curves: circles of constant resistance (horizontal circles) and arcs of constant reactance (curved arcs). Resistance circles are centered on the horizontal axis, with values from 0 (left edge) to infinity (right edge). Reactance arcs are curved lines representing inductive (upper half) and capacitive (lower half) reactance. Together, these circles and arcs form a grid where any impedance can be plotted as a point. The intersection of a resistance circle and a reactance arc gives you the impedance value.

Why Other Answers Are Wrong

Option A: Incorrect. Smith charts don't use voltage circles and current arcs. They use resistance circles and reactance arcs. Option C: Incorrect. Smith charts don't use voltage chords and current chords. The coordinate system is resistance circles and reactance arcs. Option D: Incorrect. Smith charts don't use resistance lines and reactance chords. They use circles (for resistance) and arcs (for reactance).

Exam Tip

Smith chart coordinates = Resistance circles and reactance arcs. Remember: Smith charts use resistance circles (constant resistance) and reactance arcs (constant reactance) as the coordinate system.

Memory Aid

**S**mith **C**hart = **R**esistance **C**ircles + **R**eactance **A**rcs (think 'SC = RC+RA')

Real-World Example

You're using a Smith chart. You see circles representing constant resistance (maybe 25, 50, 100 ohms) and curved arcs representing constant reactance (maybe +j50, -j50 ohms). To plot an impedance like 50 + j25, you find the 50-ohm resistance circle and the +j25-ohm reactance arc, and their intersection is your impedance point.

Source & Coverage

Question Pool: 2024-2028 Question Pool

Subelement: E9G

Reference: FCC Part 97.3

Key Concepts

Smith chart Resistance circles Reactance arcs Coordinate system

Verified Content

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