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Branch-Line Quadrature (90°) Hybrid Coupler Calculator

Easily calculate and compute branch-line quadrature (90°) hybrid coupler calculator with accurate equations, live formulas, and expert guidance.

Reference line impedance.

Operating RF frequency.

Substrate effective dielectric constant.

Calculated Result
35.36 Ω

Series Arm Characteristic Impedance

Series Arm Characteristic Impedance

35.36 Ω

Series Arm Impedance Ohms

35.35533905932737

Shunt Arm Impedance Ohms

50

Arm Length Mm

17.190657985216998

Coupling Db

3.01

35.36 — Ω

Calculation Breakdown

  1. Applied FormulaSizes branch-line quadrature 3 dB hybrid coupler series and shunt λ/4 transmission lines, providing equal power splitting with exact 90° phase difference.Z_{series} = \frac{Z_0}{\sqrt{2}}, \quad Z_{shunt} = Z_0

Branch-Line Quadrature Hybrid Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.08.8182735Series Arm Characteristic Impedance

What Is the Branch-Line Quadrature (90°) Hybrid Coupler Calculator?

This tool computes branch-line quadrature (90°) hybrid coupler calculator with high precision arithmetic.

How Does the Branch-Line Quadrature (90°) Hybrid Coupler Calculator Work?

Sizes branch-line quadrature 3 dB hybrid coupler series and shunt λ/4 transmission lines, providing equal power splitting with exact 90° phase difference.

Branch-Line Quadrature (90°) Hybrid Coupler Calculator Formula & Variables

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

Zseries=Z02,Zshunt=Z0Z_{series} = \frac{Z_0}{\sqrt{2}}, \quad Z_{shunt} = Z_0

Sizes branch-line quadrature 3 dB hybrid coupler series and shunt λ/4 transmission lines, providing equal power splitting with exact 90° phase difference.

How to Use the Branch-Line Quadrature (90°) Hybrid Coupler Calculator

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

Step-by-Step Example Calculation

Branch-Line Quadrature (90°) Hybrid Coupler Calculator Example

Input Values:

systemImpedanceZ0:50
centerFrequencyGhz:2.4
substrateEpsEff:3.3
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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