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Microstrip Rectangular Patch Antenna Resonant Length (L), Width (W) & Inset Feed Calculator

Easily calculate and compute microstrip rectangular patch antenna resonant length (l), width (w) & inset feed calculator with accurate equations, live formulas, and expert guidance.

Operating frequency (e.g. 2.45 GHz for Wi-Fi / Bluetooth).

Dielectric constant (e.g. 4.4 for FR4, 2.2 for Rogers RT/duroid).

Dielectric substrate board thickness.

Calculated Result
28.81 mm

Patch Length (L)

Patch Length (L)

28.81 mm

Physical Patch Length L Mm

28.81

Physical Patch Width W Mm

37.23

Inset Feed Depth Y0 Mm

10.06

Effective Permittivity Eps Eff

4.08

28.81 — mm

Calculation Breakdown

  1. Applied FormulaSizes rectangular microstrip PCB patch antennas, accounting for substrate dielectric loading, fringing capacitive field length extension (ΔL), and 50-ohm inset feed depths.\varepsilon_{eff} = \frac{\varepsilon_r+1}{2} + \frac{\varepsilon_r-1}{2}\left(1 + 12\frac{h}{W}\right)^{-1/2}, \quad y_0 = \frac{L}{\pi}\cos^{-1}\left(\sqrt{\frac{50}{R_{in}(0)}}\right)

Microstrip Patch Antenna Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.07.2142229Patch Length (L)

What Is the Microstrip Rectangular Patch Antenna Resonant Length (L), Width (W) & Inset Feed Calculator?

This tool computes microstrip rectangular patch antenna resonant length (l), width (w) & inset feed calculator with high precision arithmetic.

How Does the Microstrip Rectangular Patch Antenna Resonant Length (L), Width (W) & Inset Feed Calculator Work?

Sizes rectangular microstrip PCB patch antennas, accounting for substrate dielectric loading, fringing capacitive field length extension (ΔL), and 50-ohm inset feed depths.

Microstrip Rectangular Patch Antenna Resonant Length (L), Width (W) & Inset Feed Calculator Formula & Variables

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

εeff=εr+12+εr−12(1+12hW)−1/2,y0=Lπcos⁡−1(50Rin(0))\varepsilon_{eff} = \frac{\varepsilon_r+1}{2} + \frac{\varepsilon_r-1}{2}\left(1 + 12\frac{h}{W}\right)^{-1/2}, \quad y_0 = \frac{L}{\pi}\cos^{-1}\left(\sqrt{\frac{50}{R_{in}(0)}}\right)

Sizes rectangular microstrip PCB patch antennas, accounting for substrate dielectric loading, fringing capacitive field length extension (ΔL), and 50-ohm inset feed depths.

How to Use the Microstrip Rectangular Patch Antenna Resonant Length (L), Width (W) & Inset Feed Calculator

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

Step-by-Step Example Calculation

Microstrip Rectangular Patch Antenna Resonant Length (L), Width (W) & Inset Feed Calculator Example

Input Values:

centerFrequencyGhz:2.45
substrateDielectricConstantEr:4.4
substrateThicknessHMillimeters:1.6
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required mm.

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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