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PCB trace resistance calculator

Estimate a rectangular copper trace resistance at temperature, calculate voltage drop, or solve for width, thickness, length, current or resistivity.

Calculator

Trace resistance
0.049257
Voltage drop
0.098514
Power dissipation
0.197029

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How this calculator works

A uniform rectangular conductor has resistance proportional to length and resistivity and inversely proportional to width times thickness. Correct the reference resistivity with a linear temperature coefficient. Enter the actual trace temperature, including any self-heating; this page does not solve the heat flow. The rectangular model neglects etched sidewall taper, vias and AC skin effects.

Formula

R = rho20[1 + alpha(T - 293.15 K)]L/(width x thickness); voltage drop = IR; dissipation = I²R.

Worked example

A 100 mm long, 1 mm wide, 0.035 mm thick copper trace at 20 Celsius has about 0.0492571 ohms resistance. At 2 A, it drops about 0.0985143 V and dissipates 0.197029 W.

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Frequently asked questions

Why does copper resistance rise with temperature?

Electron scattering increases as the metal warms. The coefficient approximates this change near the reference temperature.

Does this include return-path resistance?

No. Calculate each conductor separately and add their resistances for a loop.

Can I use a different conductor?

Yes. Enter its resistivity at 20 Celsius and its temperature coefficient, within the validity of a linear model.

Sources

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