Deep Dive: E9F02
The correct answer is C: The insulating dielectric material. The insulating dielectric material has the biggest effect on the velocity factor of a transmission line. Different dielectrics slow down the wave by different amounts. The velocity factor depends primarily on the dielectric constant (εᵣ) of the insulating material: VF ≈ 1/√εᵣ. Air (εᵣ ≈ 1) gives VF ≈ 1.0. Solid polyethylene (εᵣ ≈ 2.3) gives VF ≈ 0.66. Foam dielectric (εᵣ ≈ 1.5) gives VF ≈ 0.81. The dielectric material is the primary factor - other parameters like characteristic impedance, line length, or conductor resistivity have much smaller effects on velocity factor. This is why air-insulated lines have high velocity factors (close to 1.0) while solid dielectric lines have lower velocity factors.
Why Other Answers Are Wrong
Option A: Incorrect. Characteristic impedance affects impedance matching but has minimal effect on velocity factor. The dielectric is the primary factor. Option B: Incorrect. Transmission line length doesn't affect velocity factor. Length affects electrical length, but the velocity factor (how fast waves travel) is determined by the dielectric. Option D: Incorrect. Center conductor resistivity affects losses but has minimal effect on velocity factor. The dielectric material is the primary determinant.
Exam Tip
Velocity factor determined by = Dielectric material. Remember: The insulating dielectric material has the biggest effect on velocity factor. VF ≈ 1/√εᵣ, where εᵣ is the dielectric constant.
Memory Aid
**V**elocity **F**actor = **D**etermined by **D**ielectric (think 'VF = DD')
Real-World Example
You compare two transmission lines - one with air dielectric (VF ≈ 0.95) and one with solid polyethylene (VF ≈ 0.66). The dielectric material is the key difference. Air has low dielectric constant, so signals travel almost at light speed. Solid polyethylene has higher dielectric constant, so signals travel slower. The dielectric material determines the velocity factor.
Source & Coverage
Question Pool: 2024-2028 Question Pool
Subelement: E9F
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 E9F topic.