Trace resistance, heating, inductance and parasitic capacitance
Trace resistance, trace heating, trace inductance and parasitic capacitance. Copper on a board has resistance and inductance like any other conductor. It matters on high-current traces, and on high-speed signals where inductance is a concern. Typical copper thickness: 35 µm on the outer layer of a rigid board, 12 µm on a flex. The parasitic capacitance figure is for a microstrip line — a trace on an outer layer.
SI prefixes accepted (4k7 / 1M / 10m / 220). Upper-case M = mega, lower-case m = milli
Advanced — Dielectric thickness, PCB relative permittivity
Derived values
- Voltage drop
- 33.143 mV
- Current × trace resistance
History
Formula
Inductance: from an approximation
Dissipation: P = R × I² [mW]
Design notes
Copper traces carry parasitics of their own — resistance, inductance and capacitance. On high-current rails and fast signals you cannot ignore them.
What to check:
• High-current traces: is the drop, R × I, within budget?
• Fast signals: inductance is what turns into ringing
• Heating: P = R × I² — is the rise acceptable?
Standard copper thickness is 35 µm (1 oz) on an outer layer and 12–18 µm on a flex. For heavy currents consider 2 oz (70 µm) or more.
When you need this
For sizing power traces and answering "can this trace carry 3A?". Alongside resistance and dissipation it reports inductance and parasitic capacitance, so it serves both power and high-speed work.
What the four outputs mean
| Output | Meaning | Where it matters |
|---|---|---|
| Trace resistance | R = ρL/(w·t), copper resistivity 1.74×10⁻⁸ Ω·m | IR drop and heating |
| Trace inductance | Self-inductance of the trace | Supply ripple, high-speed return paths |
| Trace dissipation | P = R·I², i.e. the heat generated | Temperature rise |
| Parasitic capacitance | Capacitance to the reference plane | Capacitive loading, sensitive nodes |
Copper weight
| Copper | Thickness | Sheet resistance | Notes |
|---|---|---|---|
| 0.5 oz | 17.5 µm | about 0.99 mΩ/sq | Common on inner signal layers |
| 1 oz | 35 µm | about 0.49 mΩ/sq | The usual default |
| 2 oz | 70 µm | about 0.25 mΩ/sq | Power boards; fine traces get harder |
| 3 oz | 105 µm | about 0.17 mΩ/sq | High current; watch cost and minimum width |
Sheet resistance makes this quick to estimate: multiply length÷width by 0.49 for 1oz copper to get milliohms. A 1mm wide, 100mm long trace is 100 × 0.49 = 49mΩ.
Resistance rises with temperature
Copper has a temperature coefficient of about 0.393%/K. Referenced to 20°C, a trace at 60°C is already about 16% more resistive; at 100°C, about 31%.
On traces that dissipate power this is a positive feedback loop — more resistance, more heat. Check IR drop and dissipation at the highest temperature you expect. This calculator reports the 20°C value, so apply the factor by hand.
Worked example: a 3.3V / 2A rail
- 1mm wide, 100mm long, 35µm (1oz) copper, 2A.
- Resistance 49.7mΩ, dissipation 198.9mW.
- IR drop is 2A × 49.7mΩ = 99mV, or 3.0% of 3.3V — leaving only 2% of a ±5% budget.
- At 60°C the resistance rises 16% to 57.5mΩ and the drop becomes 115mV (3.5%).
- Doubling the width to 2mm halves it to 24.9mΩ and 50mV (1.5%). Take that.
Common mistakes
- Forgetting via resistance. A φ0.3mm via in a 1.6mm board is roughly 0.5–1mΩ. It adds up every time a rail changes layer, so always use several vias in parallel for power.
- Judging current capacity from resistance. What actually sets it is temperature rise; use the IPC-2152 curves. Inner layers dissipate heat poorly and need to be wider than outer layers for the same current.
- Missing the narrowest point. Resistance is dominated by necks around pads, thermal reliefs and pinch points under components. Enter the narrowest section.
- Forgetting the return path. IR drop happens on the round trip. A thin ground trace adds its drop directly to your supply error.
Frequently asked questions
How many amps can this trace carry?
Why do inner layers carry less current?
What does "per square" mean in sheet resistance?
When does trace capacitance matter?
Standards and references
- IPC-2152 — Current capacity of conductors; temperature rise versus width, copper weight and layer. The current standard.
- IPC-2221B — General design standard, including the older current capacity charts.
Last updated: 2026-08-29