Coax Cable Loss Calculator
Find coaxial-cable attenuation and remaining power ratio from supplied loss per length.
Open toolCoaxial Cable Impedance Calculator
Estimate ideal coaxial impedance and its local sensitivity to geometry and permittivity. Provide Inner conductor diameter (mm), Outer conductor inside diameter (mm), Relative permittivity εr to compute results directly in your browser. Z ≈ 59.9584916 ln(D/d)/sqrt(εr) ohms. Outer conductor inside diameter must exceed the inner conductor diameter. The homogeneous, lossless coax model excludes conductor losses, frequency-dependent dielectric behavior and connector effects. Numeric output uses up to 12 significant digits; floating-point rounding can occur. Common search workflows supported include "cable impedance calculator", "cable impedance calculator", "coaxial cable impedance calculator".
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Enter the inputs, then select Calculate.
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How the Coaxial Cable Impedance Calculator Works & Core Formula
The Coaxial Cable Impedance Calculator evaluates Inner conductor diameter (mm), Outer conductor inside diameter (mm), Relative permittivity εr in client-side JavaScript using the deterministic rule below and updates the output panel immediately without uploading data to a server.
Estimate ideal coaxial impedance and its local sensitivity to geometry and permittivity.
Z ≈ 59.9584916 ln(D/d)/sqrt(εr) ohms. Outer conductor inside diameter must exceed the inner conductor diameter. The homogeneous, lossless coax model excludes conductor losses, frequency-dependent dielectric behavior and connector effects. Numeric output uses up to 12 significant digits; floating-point rounding can occur.
Coaxial Cable Impedance Calculator Quick Reference & Input Guide
Review the input parameters, allowed value ranges, and worked reference cases for the Coaxial Cable Impedance Calculator below before running your calculation.
| Parameter / Scenario | Default / Sample Value | Rule or Allowed Range | Output / Usage Note |
|---|---|---|---|
| Input: Inner conductor diameter (mm) | 1 | Range: 1e-09 to 1000000000.0 | Required workspace parameter |
| Input: Outer conductor inside diameter (mm) | 3 | Range: 1e-09 to 1000000000.0 | Required workspace parameter |
| Input: Relative permittivity εr | 2.1 | Range: 1e-09 to 1000000000.0 | Required workspace parameter |
| Worked Case 1: Baseline run (Inner conductor diameter (mm) = 1) | Preloaded / test values | Estimate ideal coaxial impedance and its local sensitivity to geometry and permittivity | Inner conductor diameter (mm) = 1; Outer conductor inside diameter (mm) = 3; Relative permittivity εr = 2.1. Output: Ideal characteristic impedance: 45.4554020888 Ω; Sensitivity to inner diameter: -41.3752900433 Ω/mm; Sensitivity to outer diameter: 13.7917633478 Ω/mm; Sensitivity to relative permittivity: -10.822714783 Ω per unit εr. |
| Worked Case 2: Comparison scenario (coaxial cable impedance formula) | Preloaded / test values | Estimate ideal coaxial impedance and its local sensitivity to geometry and permittivity | Inner conductor diameter (mm) = 1; Outer conductor inside diameter (mm) = 4; Relative permittivity εr = 1. Output: Ideal characteristic impedance: 83.1201188063 Ω; Sensitivity to inner diameter: -59.9584916 Ω/mm; Sensitivity to outer diameter: 14.9896229 Ω/mm; Sensitivity to relative permittivity: -41.5600594032 Ω per unit εr. |
Step-by-Step Guide to Using the Coaxial Cable Impedance Calculator
Follow these three steps to configure Inner conductor diameter (mm), Outer conductor inside diameter (mm), Relative permittivity εr, verify unit and boundary rules, and export your Coaxial Cable Impedance Calculator output.
Enter the inputs
Start with inner conductor diameter (mm). Allowed range: 1e-09 to 1000000000.0.
Input and settings
Check units and mode
Z ≈ 59.9584916 ln(D/d)/sqrt(εr) ohms. Outer conductor inside diameter must exceed the inner conductor diameter. The homogeneous, lossless coax model excludes conductor losses, frequency-dependent dielectric behavior and connector effects. Numeric output uses up to 12 significant digits; floating-point rounding can occur.
Tool result
Calculate and save
Select Calculate, check the labelled result, then use Copy result or Download result.txt.
Review the details
Practical Worked Examples for Coaxial Cable Impedance Calculator
These concrete scenarios illustrate how the Coaxial Cable Impedance Calculator processes baseline inputs, comparison checks, and boundary constraints.
Baseline run (Inner conductor diameter (mm) = 1)
Inner conductor diameter (mm) = 1; Outer conductor inside diameter (mm) = 3; Relative permittivity εr = 2.1. Output: Ideal characteristic impedance: 45.4554020888 Ω; Sensitivity to inner diameter: -41.3752900433 Ω/mm; Sensitivity to outer diameter: 13.7917633478 Ω/mm; Sensitivity to relative permittivity: -10.822714783 Ω per unit εr.
Comparison scenario (coaxial cable impedance formula)
Inner conductor diameter (mm) = 1; Outer conductor inside diameter (mm) = 4; Relative permittivity εr = 1. Output: Ideal characteristic impedance: 83.1201188063 Ω; Sensitivity to inner diameter: -59.9584916 Ω/mm; Sensitivity to outer diameter: 14.9896229 Ω/mm; Sensitivity to relative permittivity: -41.5600594032 Ω per unit εr.
Boundary & unit check (Cable Impedance Calculator)
When solving for 'cable impedance calculator', verify that Inner conductor diameter (mm), Outer conductor inside diameter (mm), Relative permittivity εr use consistent units and stay within the documented scope: Z ≈ 59.9584916 ln(D/d)/sqrt(εr) ohms. Outer conductor inside diameter must exceed the inner conductor diameter. The homogeneous, lossless coax model excludes conductor losses, frequency-dependent dielectric behavior and connector effects. Numeric output uses up to 12 significant digits; floating-point rounding can occur.
How to Read and Verify the Coaxial Cable Impedance Calculator Output
The output panel reports the exact result derived from Inner conductor diameter (mm), Outer conductor inside diameter (mm), Relative permittivity εr alongside any unit or formatting notes.
Every calculation follows the rule: Estimate ideal coaxial impedance and its local sensitivity to geometry and permittivity. Because JavaScript uses IEEE 754 double-precision floating-point arithmetic, numeric outputs display up to 12 significant digits where applicable.
Always cross-check the displayed result against the scope note (Z ≈ 59.9584916 ln(D/d)/sqrt(εr) ohms. Outer conductor inside diameter must exceed the inner conductor diameter. The homogeneous, lossless coax model excludes conductor losses, frequency-dependent dielectric behavior and connector effects. Numeric output uses up to 12 significant digits; floating-point rounding can occur) before applying the value to production specifications, financial models, or lab records.
Scope Limits, Accuracy Assumptions & Related Everyday Math Tools
Review these boundary constraints and validation rules before relying on the Coaxial Cable Impedance Calculator output.
Operational scope: Z ≈ 59.9584916 ln(D/d)/sqrt(εr) ohms. Outer conductor inside diameter must exceed the inner conductor diameter. The homogeneous, lossless coax model excludes conductor losses, frequency-dependent dielectric behavior and connector effects. Numeric output uses up to 12 significant digits; floating-point rounding can occur. Inputs that violate minimum/maximum bounds or required format rules are rejected with a clear diagnostic prompt.
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Open toolFrequently Asked Questions About Coaxial Cable Impedance Calculator
Answers about using Coaxial Cable Impedance Calculator and understanding its results.
How do I calculate cable impedance calculator using the Coaxial Cable Impedance Calculator?
The Coaxial Cable Impedance Calculator applies the rule: Estimate ideal coaxial impedance and its local sensitivity to geometry and permittivity. Enter Inner conductor diameter (mm), Outer conductor inside diameter (mm), Relative permittivity εr into the workspace and the tool computes the exact output in your browser.
Can I use this tool for cable impedance calculator?
Yes. Provide Inner conductor diameter (mm), Outer conductor inside diameter (mm), Relative permittivity εr using the documented units and format shown in the quick reference table above. Preloaded default values let you test the workflow immediately.
What are the accuracy limits and boundary assumptions for Coaxial Cable Impedance Calculator?
Z ≈ 59.9584916 ln(D/d)/sqrt(εr) ohms. Outer conductor inside diameter must exceed the inner conductor diameter. The homogeneous, lossless coax model excludes conductor losses, frequency-dependent dielectric behavior and connector effects. Numeric output uses up to 12 significant digits; floating-point rounding can occur. Confirm that your inputs fall within the allowed ranges before exporting the result.
Is the Coaxial Cable Impedance Calculator free and does it keep my inputs private?
Yes. All calculations for the Coaxial Cable Impedance Calculator execute 100% locally in your browser's JavaScript runtime. No inputs or results are uploaded to any external server.
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