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