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Inner Resistance of Coaxial Cable Calculator

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Electrowave Dynamics Electromagnetic Radiation and Antennas

✖Inner Radius of Coaxial Cable is the distance from the center to the inner edge of the coaxial cable.ⓘ Inner Radius of Coaxial Cable [a_r]			+10% -10%
✖Skin depth is a measure of how deeply a current penetrates into a conductor.ⓘ Skin Depth [δ]			+10% -10%
✖Electrical Conductivity is a measure of a material's ability to conduct electric current. It is the reciprocal of electrical resistivity.ⓘ Electrical Conductivity [σ_c]			+10% -10%

✖Inner Resistance of Coaxial Cable is a measure of the opposition that the inner conductor of the coaxial cable presents to the flow of electric current.ⓘ Inner Resistance of Coaxial Cable [R_in]

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Inner Resistance of Coaxial Cable Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity)
R_in = 1/(2*pi*a_r*δ*σ_c)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Inner Resistance of Coaxial Cable - (Measured in Ohm) - Inner Resistance of Coaxial Cable is a measure of the opposition that the inner conductor of the coaxial cable presents to the flow of electric current.
Inner Radius of Coaxial Cable - (Measured in Meter) - Inner Radius of Coaxial Cable is the distance from the center to the inner edge of the coaxial cable.
Skin Depth - (Measured in Meter) - Skin depth is a measure of how deeply a current penetrates into a conductor.
Electrical Conductivity - (Measured in Siemens per Meter) - Electrical Conductivity is a measure of a material's ability to conduct electric current. It is the reciprocal of electrical resistivity.

STEP 1: Convert Input(s) to Base Unit

Inner Radius of Coaxial Cable: 0.25 Centimeter --> 0.0025 Meter (Check conversion here)
Skin Depth: 20.1 Centimeter --> 0.201 Meter (Check conversion here)
Electrical Conductivity: 0.4 Siemens per Centimeter --> 40 Siemens per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_in = 1/(2*pi*a_r*δ*σ_c) --> 1/(2*pi*0.0025*0.201*40)

Evaluating ... ...

R_in = 7.91815637273111

STEP 3: Convert Result to Output's Unit

7.91815637273111 Ohm --> No Conversion Required

FINAL ANSWER

7.91815637273111 ≈ 7.918156 Ohm <-- Inner Resistance of Coaxial Cable

(Calculation completed in 00.004 seconds)

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Created by Gowthaman N

Vellore Institute of Technology (VIT University), Chennai

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< Electrowave Dynamics Calculators

Characteristic Impedance of Line

LaTeX Go Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width)

Conductance of Coaxial Cable

LaTeX Go Conductance of Coaxial Cable = (2*pi*Electrical Conductivity)/ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)

Inductance between Conductors

LaTeX Go Conductor Inductance = Magnetic Permeability*pi*10^-7*Plate Distance/(Plate Width)

Skin Effect Resistivity

LaTeX Go Skin Effect Resistivity = 2/(Electrical Conductivity*Skin Depth*Plate Width)

Inner Resistance of Coaxial Cable Formula

LaTeX Go

Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity)
R_in = 1/(2*pi*a_r*δ*σ_c)

What influences the Inner Resistance of a Coaxial Cable?

The Inner Resistance is impacted by factors like inner radius, insulation thickness, and inner conductor conductivity. A smaller inner resistance facilitates efficient current flow, crucial for optimal signal transmission and minimized power losses in the coaxial cable.

How to Calculate Inner Resistance of Coaxial Cable?

Inner Resistance of Coaxial Cable calculator uses Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity) to calculate the Inner Resistance of Coaxial Cable, Inner Resistance of Coaxial Cable refers to the resistance encountered by the electrical current flowing through the central conductor, influenced by its material, dimensions, and temperature. Inner Resistance of Coaxial Cable is denoted by R_in symbol.

How to calculate Inner Resistance of Coaxial Cable using this online calculator? To use this online calculator for Inner Resistance of Coaxial Cable, enter Inner Radius of Coaxial Cable (a_r), Skin Depth (δ) & Electrical Conductivity (σ_c) and hit the calculate button. Here is how the Inner Resistance of Coaxial Cable calculation can be explained with given input values -> 7.918156 = 1/(2*pi*0.0025*0.201*40).

FAQ

What is Inner Resistance of Coaxial Cable?

Inner Resistance of Coaxial Cable refers to the resistance encountered by the electrical current flowing through the central conductor, influenced by its material, dimensions, and temperature and is represented as R_in = 1/(2*pi*a_r*δ*σ_c) or Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity). Inner Radius of Coaxial Cable is the distance from the center to the inner edge of the coaxial cable, Skin depth is a measure of how deeply a current penetrates into a conductor & Electrical Conductivity is a measure of a material's ability to conduct electric current. It is the reciprocal of electrical resistivity.

How to calculate Inner Resistance of Coaxial Cable?

Inner Resistance of Coaxial Cable refers to the resistance encountered by the electrical current flowing through the central conductor, influenced by its material, dimensions, and temperature is calculated using Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity). To calculate Inner Resistance of Coaxial Cable, you need Inner Radius of Coaxial Cable (a_r), Skin Depth (δ) & Electrical Conductivity (σ_c). With our tool, you need to enter the respective value for Inner Radius of Coaxial Cable, Skin Depth & Electrical Conductivity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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