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Microstrip Characteristic Impedance (Hammerstad) Calculator

Easily calculate and compute microstrip characteristic impedance (hammerstad) calculator with accurate equations, live formulas, and expert guidance.

PCB copper trace width.

Substrate thickness between trace and ground plane.

Relative permittivity (e.g. FR-4 ~4.2 - 4.5, Rogers 4350 ~3.66).

Calculated Result
50.79 Ω

Microstrip Impedance Z0

Microstrip Impedance Z0

50.79 Ω

Characteristic Impedance Ohms

50.785468872703454

Effective Dielectric Eps Eff

3.3249324287797366

Width To Height Ratio

1.875

Trace Width Mm

1.5

50.79 — Ω

Calculation Breakdown

  1. Applied FormulaUses precision Hammerstad-Jensen equations to calculate microstrip trace characteristic impedance Z0 and effective dielectric constant ε_eff on printed circuit boards.Z_0 = f(w/h, \epsilon_r)

Microstrip Z0 Hammerstad Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.013253851Microstrip Impedance Z0

What Is the Microstrip Characteristic Impedance (Hammerstad) Calculator?

This tool computes microstrip characteristic impedance (hammerstad) calculator with high precision arithmetic.

How Does the Microstrip Characteristic Impedance (Hammerstad) Calculator Work?

Uses precision Hammerstad-Jensen equations to calculate microstrip trace characteristic impedance Z0 and effective dielectric constant ε_eff on printed circuit boards.

Microstrip Characteristic Impedance (Hammerstad) Calculator Formula & Variables

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

Z0=f(w/h,ϵr)Z_0 = f(w/h, \epsilon_r)

Uses precision Hammerstad-Jensen equations to calculate microstrip trace characteristic impedance Z0 and effective dielectric constant ε_eff on printed circuit boards.

How to Use the Microstrip Characteristic Impedance (Hammerstad) Calculator

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

Step-by-Step Example Calculation

Microstrip Characteristic Impedance (Hammerstad) Calculator Example

Input Values:

traceWidthMm:1.5
substrateHeightMm:0.8
relativePermittivityEr:4.4
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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