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Solved - How to Determine PCB Trace Width and Current

PCB trace
pcbonline PCBONLINE Team Fri, Apr 02, 2021
8480
Question
I'm working on a project to create a PCB but I'm stuck on the question of how wide my traces need to be to accept the ~25-30A bursts. Right now the traces are 150mil on the top and bottom layer in most spots, will this be enough?

Current carrying capacity is the amount of current that flows in the PCB trace on continuous operation with an acceptable voltage drop. If the PCB traces are not designed for the current ratings required by the components, there could be burned-out traces, high voltage drops, and even a risk of fire due to heat generation in the traces. That's why you need to determine the PCB trace width and calculate its current when you design a PCB.

burnt PCB trace

Figure 01 - Burned PCB trace

In this article, we will discuss how to determine PCB trace width, current capacity, and impedance you want to consider when designing a PCB.

How to Determine PCB Trace Width

The General current carrying capacity equation can be defined as:

current-equition.jpg

Eq - 01 General currents carrying capacity formula

Where indicates the current in amperes, ∆T the change in temperature above ambient in °C, and A the cross-sectional area in mils. K, β1, and β2 are coefficients that are defined by test data.

For outside visible traces, the coefficient values are:

K = 0.048

β1 = 0.44

β2 = 0.725

And the equivalent current carrying capacity equation will be:

current formula

For outside visible traces the coefficient values are:

K = 0.024

β1 = 0.44

β2 = 0.725

By plotting the above equation for common temperature values, we can obtain the following chart.

corss-section area

Figure 02 - Current vs Cross-Sectional Area

By this chart, we can find what is the required cross-sectional area for a given current. After finding out the required cross-sectional area, there is another graph that can be used to easily find the required width of the PCB trace.

trace width vs corss-sectional area

Figure 03 - PCB trace width vs Cross-Sectional Area

Eq -01 can be used for more accurate PCB designs. Temperatures above 100°C are not used because temperatures higher than 100°C can melt solder and damage components.

How to Determine PCB Trace Current Capacity

There are two factors to be considered when sizing the traces of your printed circuit board (PCB). They are the current capacity of the trace and the impedance.

PCB trace materials, the cross-sectional area of the trace, and temperatures decide the current carrying capacity of copper traces.

The cross-sectional area of the trace is directly proportional to the current capacity. More cross-sections mean there is more surface area and more surface area helps to dissipate the heat which also increases current carrying capacity.

Choose PCB Trace Material Fit for Your Design

PCB trace material plays a vital role in determining the current-carrying capacity. Low-resistivity materials, such as silver, copper, and gold, have high current-carrying capacities. Copper (Cu) is the widely used PCB trace material that provides the best performance per cost. Gold or Silver plated copper traces are used in high-frequency digital signal processing PCBs. Gold is plated to avoid corrosion of copper traces.

gold-plated copper trace

Figure 04 - Gold-plated copper traces

The following chart provides the resistivity of materials that are used in electronic manufacturing.

Material
Resistivity at 20°C
Usage

Silver (Ag)

1.59×10^−8

Plating material to protect copper from corrosion and improve resistivity

Copper (Cu)

1.68×10^−8
Copper wires, traces, and alloys

Gold (Au)

2.44×10^−8

Plating material to protect copper from corrosion

Aluminum (Al)
2.65×10^−8
Aluminum wires, traces, and alloys

Table 01 - Resistivity

In a PCB, due to manufacturing limitations, the thickness of the copper trace is the same throughout the PCB and only the width is variable. In many cases, increasing the width of the trace is enough to achieve the required current rating. However, in some situations, there is not enough room to increase the width of the traces in the PCB. In such cases, the thickness of the trace is increased by applying solder on top of the trace.

solder on PCB trace

Figure 05 - Solder on PCB traces

Operating Temperature Can Influence PCB Trace Resistivity

Operating temperature is another key factor when determining the dimensions of the PCB trace. As mentioned in Table 01, the resistivity of conductive material changes with temperature. Standard resistivity values are measured for 20°C. So every 1°C increase in temperature, the resistivity of the material will be increased by some amount. This change has to be compensated in the calculation for the PCB trace width.

The current carrying capacity of a trace also depends on the physical arrangement of the trace. For example, the same cross-section area outer trace has a higher current carrying capacity than an inner layer trace. This is due to that outer layers have better heat dissipation and hence can support more current.

As described above, many factors have to be considered when calculating PCB trace width for the required current capacity. Fortunately, there is a Standard defined to do this calculation quickly and accurately. IPC 2221 is a little bit older standard which was developed by data from 1954. The new standard which is IPC-2152, named “Standard for Determining Current Carrying Capacity in Printed Board Design'', defines useful charts and calculations that can be used to design PCBs more accurately.

How to Control PCB Trace Impedance

Impedance is the second key factor that has to be considered after the current carrying capacity when designing a good PCB layout. Since most of the circuits are designed assuming PCB traces have little to no impedance, it is desirable to have impedances of the traces as low as possible.

Impedance is denoted by Z. It is the vector sum of resistance and reactance. It is an important parameter in high-frequency circuits. Since the reactance is proportional to frequency, impedance also increases with the working frequency.

impedance

Figure 06 - Impedance

The impedance of a PCB trace depends on trace length, spacing, cross-sectional area, current signal frequency, outside magnetic interference, trace’s self-inductance, trace material, solder material and quality, vias, and dielectric material between traces.

Instead of calculating impedances, designers follow a set of design practices that can reduce PCB impedances to an acceptable tolerance value:

  • Use the ground plane
  • Use PCB traces as short as possible
  • Use adequate trace spacing
  • Use traces of the same length
  • Avoid sharp turns in traces
  • Use turns in a minimum amount

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