In printed circuit boards, wires and traces are typically formed from copper because it is the least-resistant element apart from silver. Put an ohm meter over a trace and the DC resistance is almost negligible.

The same cannot be said of AC impedance. Impedance, unlike resistance, is based on frequency. All wires and traces will generate at least some impedance to current flowing from any driver. While, usually, you must have a fairly fast rise time for your signals for trace impedance to become a problem, it’s important that you be aware that trace impedance exists and can become an issue.

But why do we need to worry about trace impedance? Why does it exist and is it possible to control it? If you’ve heard the term “controlled impedance,” you are probably already aware that it is possible to control impedance. But to understand how and why, it’s important to understand a little bit about the nature of trace impedance.

## How Trace Impedance Works

Every trace has a small, nearly indistinguishable series inductance distributed along the trace with an inverse relationship to the cross-section of the trace. As rise times increase, the resulting impedance becomes more noticeable. By the same token, each trace has capacitance distributed along the trace and the return path signal, which is a function of the width of the trace and the dielectric of the material between the signal return path and the trace. Once again, if rise times increase enough, the impedance generated as the current tries to flow through this capacitance can be significant.

Your drivers read all traces as distributed LC circuits and your trace AC impedance comes from this distributed LC circuit. This is considered uncontrolled impedance. We make no effort to design the trace environment to account for this impedance, allowing the inductance and capacitance to vary as it will along the trace. Since the resultant impedance usually has no effect on operations, there is no need to waste time or money designing ways to control it.

## Controlled Impedance

But what if we are concerned about the effect of impedance on our operations? We can design a board where the trace looks like a transmission line, allowing us to avoid reflections by terminating it in its characteristic impedance. How does designing a controlled impedance circuit work?

When we control impedance, we make sure the impedance is constant at each point along the trace rather than varying from point-to-point as in a normal uncontrolled impedance situation. To control impedance, we need to control three features of the circuit’s geometry: the width of the trace, the spacing between the signal return path and the signal trace and the dielectric coefficient of the material surrounding the trace. You may also want to address the trace’s thickness. For example, a coaxial cable is a controlled impedance transmission line.

You can change these geometric features and still retain controlled impedance as long as you change other features as necessary so the relationship between these aspects does not change and impedance remains constant.

## PCB Trace Impedance Formula

To manufacture controlled impedance printed circuit boards, one must be able to measure impedance. The best way to calculate trace impedance is by using a trace impedance calculator. You can find trace impedance calculators online or in your CAD software. There are several parameters to consider when determining impedance, including:

- Trace width
- Trace thickness
- Laminate thickness
- Dielectric thickness
- Copper weight

Once you have calculated all relevant parameters, you can adjust the all of the above (typically the trace width) to arrive at the impedance you are looking for. Once you think you are at an acceptable impedance, you can test the board’s effectiveness using test coupons manufactured on the same panel at the same time, so you can get a good impedance rating without the challenges of accessing the traces on the actual board. The test coupon traces should be identical to the board traces in order to get an accurate test.

Typically, the manufacturer will build test coupons on either end of the production panel so that by testing both coupons, you get a very reliable impedance reading without damaging the board. Testers measure impedance with a Time Domain Reflectometer (TDR) or a network analyzer.

Impedance can be measured using a network analyzer, a laboratory Time Domain Reflectometer (TDR) or a controlled impedance test system that employs TDR techniques. An engineer with practice using controlled impedance test systems will run the impedance test to ensure high-quality results.

For more information on controlled impedance printed circuit boards or to order PCBs for your industry, contact Millennium Circuits Limited today.