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