Updated: Dec 9, 2025 | Source: 2024-2028 Question Pool | Topic: E9F
E9F09E9F

What impedance does a 1/4-wavelength transmission line present to an RF generator when the line is shorted at the far end?

Deep Dive: E9F09

The correct answer is A: Very high impedance. A 1/4-wavelength transmission line shorted at the far end presents very high impedance to an RF generator. A quarter-wavelength line transforms a short (0 ohms) to an open (very high impedance) at the input. Transmission lines transform impedances based on length. A shorted 1/4-wavelength line inverts the impedance - a short at the far end becomes an open (very high impedance) at the input. This is the opposite of an open 1/4-wavelength line, which transforms an open to a short. This property is useful for creating high-impedance points, blocking DC, or creating RF chokes. The 1/4-wavelength transformation is fundamental to many matching and filtering applications.

Why Other Answers Are Wrong

Option B: Incorrect. A shorted 1/4-wavelength line presents very high impedance, not very low. It transforms a short to an open. Option C: Incorrect. The impedance isn't the same as the characteristic impedance. A shorted 1/4-wavelength line presents very high impedance (essentially an open circuit). Option D: Incorrect. The impedance isn't the same as the generator output impedance. It's very high due to the 1/4-wavelength transformation.

Exam Tip

1/4λ shorted line = Very high impedance. Remember: A 1/4-wavelength transmission line shorted at the far end presents very high impedance (essentially an open circuit) at the input because 1/4λ transforms a short to an open.

Memory Aid

**1**/**4**λ **S**horted = **V**ery **H**igh **I**mpedance (think '1/4λS = VHI')

Real-World Example

You have a 1/4-wavelength piece of transmission line shorted at the far end. At the input, you measure very high impedance (essentially an open circuit). The 1/4-wavelength length transforms the short at the far end to an open at the input. This is useful for creating RF chokes or blocking DC while passing RF.

Source & Coverage

Question Pool: 2024-2028 Question Pool

Subelement: E9F

Reference: FCC Part 97.3

Key Concepts

Transmission line Quarter-wavelength Shorted line Impedance transformation

Verified Content

Question from the official FCC Extra Class pool. Explanation reviewed by licensed amateur radio operators and mapped to the E9F topic.