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Microstrip Line Characteristic Impedance & Dielectric Calculator

Easily calculate and compute microstrip line characteristic impedance & dielectric calculator with accurate equations, live formulas, and expert guidance.

Width of copper conductor trace on PCB.

Dielectric thickness between trace and ground plane.

Substrate dielectric constant (e.g. 4.4 for standard FR-4).

1 oz copper thickness ~= 35 μm.

Calculated Result
50.8 Ω

Characteristic Impedance (Z₀)

Characteristic Impedance (Z₀)

50.8 Ω

Characteristic Impedance Z0

50.8

Effective Dielectric Constant Eps Eff

3.32

Width To Height Ratio

1.88

Propagation Delay Ps Per Mm

6.1

50.8 — Ω

Calculation Breakdown

  1. Applied FormulaSizes planar PCB microstrip characteristic impedance Z0, effective dielectric constant ε_eff, and signal transit delay using the closed-form Hammerstad-Jensen equations.\epsilon_{eff} \approx \frac{\epsilon_r + 1}{2} + \frac{\epsilon_r - 1}{2} \frac{1}{\sqrt{1 + 12 h / w}}

Microstrip Z0 & Epsilon Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.013253851Characteristic Impedance (Z₀)

What Is the Microstrip Line Characteristic Impedance & Dielectric Calculator?

This tool computes microstrip line characteristic impedance & dielectric calculator with high precision arithmetic.

How Does the Microstrip Line Characteristic Impedance & Dielectric Calculator Work?

Sizes planar PCB microstrip characteristic impedance Z0, effective dielectric constant ε_eff, and signal transit delay using the closed-form Hammerstad-Jensen equations.

Microstrip Line Characteristic Impedance & Dielectric Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

ϵeff≈ϵr+12+ϵr−1211+12h/w\epsilon_{eff} \approx \frac{\epsilon_r + 1}{2} + \frac{\epsilon_r - 1}{2} \frac{1}{\sqrt{1 + 12 h / w}}

Sizes planar PCB microstrip characteristic impedance Z0, effective dielectric constant ε_eff, and signal transit delay using the closed-form Hammerstad-Jensen equations.

How to Use the Microstrip Line Characteristic Impedance & Dielectric Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Microstrip Line Characteristic Impedance & Dielectric Calculator Example

Input Values:

traceWidthMm:1.5
substrateHeightMm:0.8
substrateRelativePermittivityEr:4.4
copperThicknessUm:35.0
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required Ω.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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