Microstrip Width Calculator Formula
W = (7.48 × h) / exp( Z0 × √(er + 1.41) / 87 ) – 1.25 × t
Formula Explanation
The Microstrip Width Calculator helps determine the appropriate width (W) of a microstrip trace needed to achieve a desired impedance (Z0). This formula accounts for the dielectric height (h), trace thickness (t), and dielectric constant (er) of the substrate material. The calculation ensures that the microstrip line maintains the correct characteristic impedance for optimal signal integrity in high-frequency circuits.
Uses of Microstrip Width Calculator
The Microstrip Width Calculator is widely used in:
- Designing PCB traces for RF and microwave circuits.
- Optimizing impedance matching in communication systems.
- Ensuring signal integrity in high-speed digital and analog designs.
- Educational and training applications for microwave engineering.
- Developing antennas, filters, and transmission line components.
Formula Example
Suppose you have the following parameters:
Z0 = 50 Ω, t = 1 mil, h = 5 mils, and er = 4.4.
Using the formula:
W = (7.48 × 5) / exp( 50 × √(4.4 + 1.41) / 87 ) – 1.25 × 1
After substituting the values and calculating:
W ≈ 7.42 mils
This means a microstrip line width of approximately 7.42 mils is required to achieve 50 Ω impedance on a substrate with the given properties.