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Electrical cable length

Quarter- and half-wave lines using the cable’s velocity factor.

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THE CALCULATION

Formula & context

L¼ = c · VF / (4f); L½ = 2 L¼

A wave travels more slowly in a dielectric than in vacuum. Use the velocity factor of the exact cable, which is distinct from an antenna-wire shortening factor.

A worked example

145 MHz and VF = 0.66 give a quarter-wave line of approximately 34.1 cm.

UNDERSTANDING THE MODEL

Assumptions & limits

Connectors, attachments and end effects alter effective length. Tune a narrowband matching line with suitable measurement equipment.

Coaxial cable: loss and electrical lengthUnderstand the reasoning →

From reading to experimenting

Electrical cable length

145 MHz and VF = 0.66 give a quarter-wave line of approximately 34.1 cm.

Open example with starting values →Frequency: 145 MHz · Velocity / shortening factor: 0.66 Back to the learning article →

Then change exactly one value. Compare the result and use the formula to explain why it changes. The model limits below the calculator also apply here.