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Microstrip Impedance Calculator

Calculate characteristic impedance for outer layer PCB traces using IPC-2141 closed-form equations. Includes effective Dk, propagation delay, and design optimization recommendations.

Ground Plane (GND)
Dielectric (εr = 4.0)
Trace (W)
Air (εr = 1.0)
H

Surface Microstrip Cross-Section

Microstrip Design Equations

IPC-2141A closed-form equations for surface microstrip impedance calculation

Characteristic Impedance (Z₀)

Z₀ = [87 / √(εr + 1.41)] × ln[(5.98 × H) / (0.8W + T)]
Z₀ = Impedance (Ω)
εr = Dielectric Constant
H = Dielectric Height
W = Trace Width
T = Trace Thickness

Valid for W/H ratio between 0.1 and 3.0

Effective Dielectric Constant (εeff)

εeff = (εr + 1)/2 + (εr - 1)/2 × [1 + 12H/W]^(-0.5)
εeff = Effective Dk
εr = Substrate Dk
H = Dielectric Height
W = Trace Width

Typically εeff ≈ 0.6 × εr to 0.8 × εr for FR-4

Propagation Delay

Formula
tpd = 84.72 × √εeff ps/in
Microstrip (FR-4)
~140-150 ps/in
Stripline (FR-4)
~170-180 ps/in

Microstrip signals travel faster than stripline because of lower effective Dk

Microstrip Design Guidelines

50Ω Single-Ended

Standard for RF and high-speed digital signals. Typical geometry:

  • • W = 6-8 mil on 4 mil prepreg
  • • W = 10-12 mil on 6 mil prepreg
  • • Use 1oz copper for best results

Differential Pairs

100Ω differential impedance for USB, HDMI, Ethernet:

  • • Edge-coupled: S = W (tight coupling)
  • • Zdiff = 2 × Zodd ≈ 2 × Z₀ × 0.7
  • • Keep spacing consistent along length

Solder Mask Impact

Solder mask coating affects impedance:

  • • Lowers Z₀ by 2-5Ω typically
  • • Consider solder mask relief for critical traces
  • • Account in simulation for accuracy

High-Speed Routing

For signals >1 Gbps:

  • • Minimize via stubs with back-drilling
  • • Add ground vias near signal vias
  • • Avoid 90° bends, use 45° or curves

EMI Considerations

Microstrip radiates more than stripline:

  • • Keep high-speed traces short
  • • Use solid ground plane underneath
  • • Consider stripline for clocks

Manufacturing Tips

For production success:

  • • Min trace width: 4 mil (std), 3 mil (adv)
  • • Request TDR test coupons
  • • Specify impedance on fab drawing

Microstrip vs. Other Transmission Lines

PropertyMicrostripStriplineCoplanar Waveguide
LocationOuter layerInner layerOuter layer
Reference Planes1 (below)2 (above & below)1 + coplanar grounds
Propagation Delay~145 ps/in~175 ps/in~130 ps/in
EMI RadiationModerateLowModerate
Impedance ControlGood (±10%)Excellent (±5%)Good (±10%)
ManufacturingEasyRequires multilayerModerate
Best ForRF, High-speed digitalClocks, sensitive signalsmmWave, RF transitions

Frequently Asked Questions

What is a microstrip transmission line?

A microstrip is a type of transmission line consisting of a conducting strip separated from a ground plane by a dielectric substrate. It's located on the outer layers of a PCB with air above the trace and dielectric below. This asymmetric structure results in a quasi-TEM mode of propagation.

What is effective dielectric constant (Dk_eff)?

Effective Dk is the weighted average of the dielectric constants seen by the electric field. Since part of the field passes through air (Er=1) and part through the substrate (Er=4.0-4.5 for FR-4), the effective Dk is lower than the substrate Dk, typically around 3.0-3.5 for FR-4 microstrips.

Why is microstrip impedance harder to control than stripline?

Microstrip impedance is affected by solder mask thickness, humidity, and nearby components because the electric field extends into the air above the trace. Stripline is fully enclosed by dielectric, providing more consistent impedance. Manufacturing variations in outer layer plating also affect microstrip more.

What is the typical microstrip impedance range?

For standard FR-4 PCBs, microstrip impedance typically ranges from 30Ω to 120Ω. Common targets are 50Ω for single-ended RF/high-speed, 75Ω for video, and 85-100Ω for differential pairs. Going below 30Ω requires very wide traces; above 120Ω requires extremely narrow traces that are hard to manufacture.

How does solder mask affect microstrip impedance?

Solder mask (typically Er=3.5-4.0, thickness 0.5-1.5mil) covers the microstrip trace and slightly lowers the impedance by 2-5Ω. This is called 'coated microstrip'. For precise impedance control, specify solder mask openings over controlled impedance traces or account for the coating in calculations.