Updated: Dec 9, 2025 | Source: 2024-2028 Question Pool | Topic: E9E
E9E05E9E

What Yagi driven element feed point impedance is required to use a beta or hairpin matching system?

Deep Dive: E9E05

The correct answer is A: Capacitive (driven element electrically shorter than 1/2 wavelength). To use a beta or hairpin matching system, the Yagi driven element feed point impedance must be capacitive (driven element electrically shorter than 1/2 wavelength). The beta match works with capacitive reactance. The beta (hairpin) match is designed to work with a capacitively reactive feed point. This means the driven element must be slightly shorter than resonance (electrically shorter than 1/2 wavelength), making it capacitive. The hairpin (U-shaped conductor) provides inductive reactance that cancels the capacitive reactance, creating a match. If the element were longer (inductive) or at resonance (resistive), the beta match wouldn't work properly. The capacitive feed point is a requirement for beta/hairpin matching.

Why Other Answers Are Wrong

Option B: Incorrect. Inductive impedance (element longer than 1/2 wavelength) doesn't work with beta match. Beta match requires capacitive impedance. Option C: Incorrect. Purely resistive impedance (at resonance) doesn't work with beta match. Beta match needs capacitive reactance to cancel. Option D: Incorrect. Purely reactive could mean either capacitive or inductive, but beta match specifically needs capacitive, not just any reactive impedance.

Exam Tip

Beta/hairpin match requires = Capacitive impedance. Remember: Beta or hairpin matching requires the Yagi driven element to have capacitive feed point impedance (element shorter than 1/2 wavelength).

Memory Aid

**B**eta **M**atch **R**equires = **C**apacitive (think 'BMR = C')

Real-World Example

You're designing a Yagi with a beta match. You make the driven element slightly shorter than 1/2 wavelength, making it capacitive. The beta (hairpin) match provides inductive reactance that cancels this capacitive reactance, creating a good match. If you made the element longer (inductive), the beta match wouldn't work properly.

Source & Coverage

Question Pool: 2024-2028 Question Pool

Subelement: E9E

Reference: FCC Part 97.3

Key Concepts

Beta match Hairpin match Capacitive impedance Driven element length

Verified Content

Question from the official FCC Extra Class pool. Explanation reviewed by licensed amateur radio operators and mapped to the E9E topic.