Coaxial Cable Calculator Impedance Inductance Capacitance

This calculator helps you determine the impedance, inductance, and capacitance of coaxial cables based on their physical parameters.

Input Parameters

Calculation Results

Calculation Results

Impedance (Z₀): -- Ω

Inductance (L): -- nH/m

Capacitance (C): -- pF/m

Calculation Formula

Impedance (Z₀) = (138 / √ε_r) * log₁₀(b/a)

Inductance (L) = (μ₀μr / 2π) * log₁₀(b/a)

Capacitance (C) = (ε₀εr / 2π) * (1 / log₁₀(b/a))

Where:
ε₀ = 8.854 × 10⁻¹² F/m (permittivity of free space)
μ₀ = 4π × 10⁻⁷ H/m (permeability of free space)
εr = relative permittivity
μr = relative permeability (for most coaxial cables ≈ 1)
a = inner conductor radius
b = outer conductor radius

Coaxial Cable Calculator Impedance Inductance Capacitance Calculator Usage Guide

Learn how to use the Coaxial Cable Calculator Impedance Inductance Capacitance calculator and its working principles

How to Use This Calculator

  1. Enter the inner conductor radius (a) in millimeters. This is the radius of the center conductor.
  2. Enter the outer conductor radius (b) in millimeters. This is the radius of the outer shield.
  3. Enter the relative permittivity (ε_r) of the dielectric material between the conductors. For air, this value is approximately 1.0. For common dielectrics like polyethylene, it's around 2.25-2.5.
  4. Enter the frequency (MHz) at which you want to calculate the parameters.
  5. Click the "Calculate" button to compute the impedance, inductance, and capacitance.
  6. Use the "Reset" button to clear all inputs and start over.

Working Principle

The calculator uses standard formulas for coaxial cables to determine key electrical parameters:

  • Impedance (Z₀): Determines how much resistance the cable offers to high-frequency signals. It depends on the dimensions of the cable and the dielectric material.
  • Inductance (L): Represents the cable's ability to store energy in a magnetic field. It increases with cable length and depends on conductor geometry.
  • Capacitance (C): Represents the cable's ability to store energy in an electric field. It also depends on cable geometry and dielectric material.

Applications

This calculator is useful for:

  • Designing RF and microwave systems
  • Matching impedance between components
  • Understanding signal propagation characteristics
  • Selecting appropriate coaxial cables for specific applications

Note: For more complex cable types or materials, additional parameters may be needed. This calculator provides basic calculations for standard coaxial cables with cylindrical symmetry.