Delay Length-Speed Cross-Scan - Electromagnetic Transmission Lines: Signal Propagation and Reflections Step by Step

One-way delay is scanned across line length and signal speed. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Finite delay is length divided by signal speed

The diagram keeps source and load separated. The delay label is accepted only when it matches the checked length over speed.

t=L/v=12\ \text{m}/3\ \text{m/s}=4\ \text{s}

Longer line gives a longer one-way delay

Speed is fixed in these rows. The delay column changes only because the line length changes.

\begin{array}{c|c|c}L&v&t\\6\ \text{m}&3\ \text{m/s}&2\ \text{s}\\12\ \text{m}&3\ \text{m/s}&4\ \text{s}\\18\ \text{m}&3\ \text{m/s}&6\ \text{s}\\\end{array}

Faster signal speed gives a shorter one-way delay

Now length is fixed. The inverse relation is visible in three exact rows with no decimals.

\begin{array}{c|c|c}L&v&t\\12\ \text{m}&2\ \text{m/s}&6\ \text{s}\\12\ \text{m}&3\ \text{m/s}&4\ \text{s}\\12\ \text{m}&6\ \text{m/s}&2\ \text{s}\\\end{array}