How to Calculate PCB Trace Width

Calculating the correct trace width for printed circuit boards (PCBs) is essential for ensuring the reliability and performance of electronic circuits. Trace width determines the amount of current a trace can carry without overheating and damaging the PCB. Here’s a detailed guide on how to perform this calculation:

1. Understand the Factors Involved

Current Carrying Capacity: The amount of current the trace needs to safely carry.
Copper Thickness: Typical copper thicknesses in PCBs range from 1 oz/ft² (about 35 µm) to 2 oz/ft² (about 70 µm).
Temperature Rise: The allowable increase in temperature of the trace above ambient temperature.
Trace Length: Longer traces have higher resistance and may require a wider width to carry the same current.

2. Use the IPC-2221 Standard

The IPC-2221 standard provides a widely accepted formula to calculate the trace width based on the current carrying capacity and temperature rise. The formula derived from this standard is commonly implemented in PCB design software and trace width calculators.

3. Formula for Trace Width

The formula according to the IPC-2221 for external traces (exposed to air) is:

$$
W = \frac{k \cdot I^{0.44}}{\Delta T^{0.725}}
$$

where:
- \( W \) is the trace width in mils (1 mil = 0.001 inches),
- \( I \) is the current in amperes,
- \( \Delta T \) is the temperature rise in degrees Celsius,
- \( k \) is a constant that depends on the copper thickness (typical value for 1 oz/ft² copper is 0.048).

4. Adjustments for Internal Traces

Internal traces (buried within the PCB) carry less heat away than external traces. They require a different constant in the formula:

$$
W = \frac{k' \cdot I^{0.44}}{\Delta T^{0.725}}
$$

where \( k' \) is typically higher than \( k \) due to reduced heat dissipation (a common value for \( k' \) with 1 oz/ft² copper might be 0.024).

5. Utilize Online Calculators or Software

PCB Trace Width Calculators: There are several online tools available for calculating trace width. These calculators typically ask for input parameters like current, copper thickness, and temperature rise, and calculate the required trace width using IPC-2221 formulas.
PCB Design Software: Most PCB design software has built-in tools to calculate trace width as part of the layout process, ensuring compliance with electrical and thermal requirements.

6. Consider Practical Constraints

Manufacturing Capabilities: Check with your PCB manufacturer about their capabilities and minimum trace width requirements to ensure your design can be manufactured without issues.
Space Limitations: In highly dense PCBs, balancing trace width with space availability can be challenging. Prioritize critical high-current paths for wider traces.

Conclusion

Accurately calculating the width of PCB traces is crucial for designing efficient, reliable, and safe electronic circuits. By using the IPC-2221 standard formulae and considering practical manufacturing and space constraints, designers can ensure their PCBs function well under all operating conditions.