Updated: Dec 9, 2025 | Source: 2024-2028 Question Pool | Topic: E9G
E9G11E9G

In what units are the wavelength scales on a Smith chart calibrated?

Deep Dive: E9G11

The correct answer is B: In fractions of transmission line electrical wavelength. The wavelength scales on a Smith chart are calibrated in fractions of transmission line electrical wavelength. These scales show distance along a transmission line in terms of wavelengths. The Smith chart has wavelength scales around the perimeter that show distance along a transmission line. These scales are calibrated in fractions of electrical wavelength (like 0.0λ, 0.1λ, 0.2λ, etc.). As you move around the chart (representing moving along a transmission line), you can read the distance in wavelengths from these scales. The scales typically go from 0 to 0.5 wavelengths (half a wavelength), since impedance repeats every half-wavelength. These wavelength scales are essential for determining stub lengths and transmission line lengths in matching network design.

Why Other Answers Are Wrong

Option A: Incorrect. The scales aren't in fractions of frequency. They're in fractions of wavelength, not frequency. Option C: Incorrect. The scales aren't in fractions of antenna electrical wavelength. They're for transmission line wavelength, not antenna wavelength (though they're related). Option D: Incorrect. The scales aren't in fractions of antenna electrical frequency. They're in fractions of transmission line electrical wavelength.

Exam Tip

Smith chart wavelength scales = Transmission line electrical wavelength. Remember: Wavelength scales on a Smith chart are calibrated in fractions of transmission line electrical wavelength - they show distance along the line in wavelengths.

Memory Aid

**S**mith **C**hart **W**avelength **S**cales = **T**ransmission **L**ine **E**lectrical **W**avelength (think 'SCWS = TLEW')

Real-World Example

You're using a Smith chart to design a matching stub. You move around the chart (representing distance along your transmission line) and read the wavelength scales around the perimeter. The scales show 0.0λ, 0.1λ, 0.2λ, etc. - these tell you how far along the transmission line you are in terms of electrical wavelength.

Source & Coverage

Question Pool: 2024-2028 Question Pool

Subelement: E9G

Reference: FCC Part 97.3

Key Concepts

Smith chart Wavelength scales Transmission line Electrical wavelength

Verified Content

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