Propagation Delay Calculator

Signal delay on PCB or cable from length and dielectric.

Calculator Electronics Updated Apr 18, 2026
How to Use
  1. Enter trace length and effective εr (or velocity factor).
  2. tpd = length / (c · VF).
Input
Presets
Signal
Delay
ps/mm
Velocity
VF

Show Work

Enter values to see the propagation delay calculation.

Formulas

Propagation Delay
tpd = L·√εr / c
Per unit length.
Signal Velocity
v = c / √εr
Speed in medium.
Microstrip FR-4
~140 ps/in
εr,eff ≈ 3.1.
Stripline FR-4
~170 ps/in
Full εr ≈ 4.3.
Free Space
~85 ps/in
Speed of light only.
DDR Length Match
≤ 25 ps lane-to-lane
Within a byte group.

History of Signal Propagation on PCBs

Propagation delay became an active engineering concern with the rise of ECL (emitter-coupled logic) in the 1970s and BiCMOS/ECL hybrid designs in the 1980s, where clock edges could resolve in a few hundred picoseconds. Classic TTL designs at tens of MHz could ignore PCB trace delay; ECL at 300–500 MHz couldn\'t. Cray\'s mainframes of the 1970s–80s famously used equal-length twisted-pair wire-wrap interconnect specifically to match propagation delays across a multi-board system.

Modern high-speed digital interfaces — DDR4 at 3200 MT/s, PCIe Gen4/5/6, USB 3.2/4, Ethernet 25G/100G — all specify tight length-matching across parallel data lanes. A 1-inch length mismatch on FR-4 is ~140 ps, more than enough to push a DDR4 byte lane out of its data-valid window. Tight matching requires serpentine routing (trombones) and length-tuning in the PCB design tool, followed by time-domain verification on a real board.

Dielectric-loss considerations at high frequencies changed material selection. Standard FR-4 works fine through ~3 GHz but attenuates signals heavily above 5 GHz; specialty materials (Rogers 4350B, 4003, Isola I-Tera) with lower loss tangent and more controlled εr extend usable bandwidth. Modern servers and 5G radios routinely use these premium materials despite their cost because signal integrity at multi-GHz demands it.

About This Calculator

Enter trace length (with mm/cm/m/in suffixes), effective dielectric constant (or pick a common medium from the dropdown). The tool computes propagation delay, delay per mm/inch, signal velocity as a fraction of c, and velocity factor.

For microstrip on FR-4, use εr,eff ≈ 3.1; for stripline, use the full εr ≈ 4.3 (stripline traces are buried between ground planes, fully surrounded by dielectric). For coax and other transmission lines, the velocity factor preset captures the right physics. For DDR and high-speed interfaces, compare your results against the datasheet\'s timing budget. All math runs client-side.

Frequently Asked Questions

Microstrip εr,eff?

~0.5·(εr+1), typically 3.1 for FR-4.

Stripline εr,eff?

Full εr, typically 4.3 for FR-4.

Common Use Cases

DDR Length Match

Skew within ~25 ps.

Coax

66% VF → 5.05 ns/m.

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