PCB Trace Width Calculator

Trace width for a given current and temperature rise, plus microstrip impedance, step by step
Find the external trace width for 2 A with a 10 C rise on 1 oz copper
Find the internal trace width for 3 A with a 20 C rise on 1 oz copper
Find the microstrip impedance of a 14 mil trace over 8 mil FR-4
Convert 2 oz copper weight to a trace thickness in mils

The IPC-2221 Current Relation

Trace width for current is set by how much heating you will tolerate. The IPC-2221 chart fit is

I=k ΔT0.44A0.725âŸđA=(Ik ΔT0.44)1/0.725I = k\,\Delta T^{0.44} A^{0.725} \qquad\Longrightarrow\qquad A = \left(\frac{I}{k\,\Delta T^{0.44}}\right)^{1/0.725}

Symbols and the units this empirical fit demands:

  • II — current, amperes (A)
  • ΔT\Delta T — allowable temperature rise above ambient, degrees Celsius (°C)
  • AA — trace cross-sectional area, square mils (milÂē, where 1 mil = 0.001 in)
  • kk — 0.0480.048 for an external (surface) trace, 0.0240.024 for an internal trace, which is buried and cannot shed heat as well

Width then comes from the copper thickness:

w=Att=1.378 mil per ounce of copper weightw = \frac{A}{t} \qquad t = 1.378\ \text{mil per ounce of copper weight}

so 1 oz copper is 1.3781.378 mil (35 Ξ35\ \mum) and 2 oz is 2.7562.756 mil.

The operating assumption: a bare trace in still air on a board that is not otherwise hot, carrying steady DC.

Impedance, and What the Formula Does Not Cover

For a controlled-impedance signal the width is set by geometry, not heating. The IPC-2141 microstrip approximation is

Z0=87Îĩr+1.41ln⁡ âĢ(5.98h0.8w+t)Z_0 = \frac{87}{\sqrt{\varepsilon_r + 1.41}} \ln\!\left(\frac{5.98h}{0.8w + t}\right)

with Z0Z_0 in ohms, hh the dielectric height and ww, tt the trace width and thickness, all in the same length unit. FR-4 has Îĩr≈4.3\varepsilon_r \approx 4.3 at low frequency. A wider trace or a thinner dielectric gives lower impedance.

State this plainly: IPC-2221 is a conservative curve fit from the 1950s, not a thermal model of your board. It ignores adjacent copper pours, board material, via heating, altitude and airflow. IPC-2152 supersedes it with data that accounts for those effects and often permits narrower traces.

Use these results to understand and to sketch a first pass. The width that actually goes on a manufactured board must be confirmed against IPC-2152, your fabricator's stack-up and impedance data, and any product safety standard that governs spacing and creepage. A calculated number is not a released design.

Common Mistakes to Avoid

  • Feeding millimetres into the IPC-2221 formula — it is an empirical fit in mils and square mils. Convert at the end: 11 mil =0.0254= 0.0254 mm.
  • Using the external kk for an inner layer — an internal trace needs k=0.024k = 0.024 and comes out roughly three times wider.
  • Confusing area with width — the formula returns a cross-section in milÂē; divide by the copper thickness to get width.
  • Treating copper weight as a width — 1 oz describes thickness, 1.3781.378 mil, and says nothing about how wide the trace is.
  • Forgetting plating — outer layers are usually plated up beyond the base foil weight, so the finished thickness differs from the stack-up nominal.
  • Ignoring the return path — impedance depends on a continuous reference plane; a split under the trace invalidates the microstrip model.
  • Sizing for average current on a pulsed load — heating follows the RMS value.

Examples

Step 1: ΔT0.44=100.44=2.754\Delta T^{0.44} = 10^{0.44} = 2.754
Step 2: External trace: k=0.048k = 0.048, so k ΔT0.44=(0.048)(2.754)=0.1322k\,\Delta T^{0.44} = (0.048)(2.754) = 0.1322
Step 3: I÷0.1322=2.0 A÷0.1322=15.13I \div 0.1322 = 2.0\ \text{A} \div 0.1322 = 15.13
Step 4: A=15.131/0.725=15.131.3793=42.4 mil2A = 15.13^{1/0.725} = 15.13^{1.3793} = 42.4\ \text{mil}^2
Step 5: 1 oz copper is t=1.378t = 1.378 mil, so w=42.4 mil2÷1.378 mil=30.8 milw = 42.4\ \text{mil}^2 \div 1.378\ \text{mil} = 30.8\ \text{mil}
Step 6: In metric: 30.8 mil×0.0254=0.78 mm30.8\ \text{mil} \times 0.0254 = 0.78\ \text{mm}
Answer: w≈30.8w \approx 30.8 mil ≈0.78\approx 0.78 mm — confirm against IPC-2152 and the fabricator's data

Step 1: ΔT0.44=200.44=3.736\Delta T^{0.44} = 20^{0.44} = 3.736
Step 2: Internal trace: k=0.024k = 0.024, so k ΔT0.44=(0.024)(3.736)=0.08967k\,\Delta T^{0.44} = (0.024)(3.736) = 0.08967
Step 3: I÷0.08967=3.0 A÷0.08967=33.46I \div 0.08967 = 3.0\ \text{A} \div 0.08967 = 33.46
Step 4: A=33.461.3793=126.7 mil2A = 33.46^{1.3793} = 126.7\ \text{mil}^2
Step 5: w=126.7 mil2÷1.378 mil=91.9 mil=2.34 mmw = 126.7\ \text{mil}^2 \div 1.378\ \text{mil} = 91.9\ \text{mil} = 2.34\ \text{mm}
Step 6: Note how much wider an inner layer must be: the same 22 A external trace above needed only 30.830.8 mil
Answer: w≈92w \approx 92 mil ≈2.34\approx 2.34 mm

Step 1: Îĩr+1.41=4.3+1.41=5.71=2.390\sqrt{\varepsilon_r + 1.41} = \sqrt{4.3 + 1.41} = \sqrt{5.71} = 2.390
Step 2: 87÷2.390=36.4187 \div 2.390 = 36.41
Step 3: Numerator inside the log: 5.98h=(5.98)(8 mil)=47.84 mil5.98h = (5.98)(8\ \text{mil}) = 47.84\ \text{mil}
Step 4: Denominator: 0.8w+t=(0.8)(14 mil)+1.378 mil=12.58 mil0.8w + t = (0.8)(14\ \text{mil}) + 1.378\ \text{mil} = 12.58\ \text{mil}
Step 5: ln⁥(47.84÷12.58)=ln⁥(3.804)=1.336\ln(47.84 \div 12.58) = \ln(3.804) = 1.336
Step 6: Z0=(36.41)(1.336)=48.6 ÎĐZ_0 = (36.41)(1.336) = 48.6\ \Omega
Answer: Z0≈49Z_0 \approx 49 ÎР— close to a 5050 ÎĐ target, to be confirmed with the fabricator's stack-up

Frequently Asked Questions

Use the IPC-2221 relation A = (I / (k x deltaT^0.44))^(1/0.725) with the area in square mils and k = 0.048 external or 0.024 internal, then divide the area by the copper thickness to get the width. One ounce of copper is 1.378 mil thick.

An inner layer is surrounded by dielectric and cannot lose heat by convection, so IPC-2221 halves the constant k from 0.048 to 0.024. For the same current and temperature rise that works out at roughly three times the cross-sectional area.

No. It is a conservative curve fit that ignores board material, copper pours, vias and airflow. Use it to get an initial number, then confirm the finished width against IPC-2152, the fabricator's capability and any product safety standard that applies to the board.

A wider trace lowers characteristic impedance and a thicker dielectric raises it. The IPC-2141 microstrip approximation captures the trend, but a controlled-impedance stack-up should always be confirmed by the fabricator against their actual materials.

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