Conductance of Coaxial Cable Calculator

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Guided Waves in Field Theory

Electromagnetic Radiation and Antennas

Magnetic Forces and Materials

✖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%
✖Outer Radius of Coaxial Cable is the distance from the center to the outer edge of the coaxial cable.ⓘ Outer Radius of Coaxial Cable [b_r]			+10% -10%
✖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%

✖Conductance of Coaxial Cable is a measure of how easily electric current can flow through a Coaxial Cable.ⓘ Conductance of Coaxial Cable [G_c]

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Formula

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Conductance of Coaxial Cable

Formula

`"G"_{"c"} = (2*pi*"σ"_{"c"})/ln("b"_{"r"}/"a"_{"r"})`

Example

`"58.09715S"=(2*pi*"0.4S/cm")/ln("18.91cm"/"0.25cm")`

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Conductance of Coaxial Cable Solution

STEP 0: Pre-Calculation Summary

Formula Used

Conductance of Coaxial Cable = (2*pi*Electrical Conductivity)/ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)
G_c = (2*pi*σ_c)/ln(b_r/a_r)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Conductance of Coaxial Cable - (Measured in Siemens) - Conductance of Coaxial Cable is a measure of how easily electric current can flow through a Coaxial Cable.
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.
Outer Radius of Coaxial Cable - (Measured in Meter) - Outer Radius of Coaxial Cable is the distance from the center to the outer edge of the coaxial cable.
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.

STEP 1: Convert Input(s) to Base Unit

Electrical Conductivity: 0.4 Siemens per Centimeter --> 40 Siemens per Meter (Check conversion here)
Outer Radius of Coaxial Cable: 18.91 Centimeter --> 0.1891 Meter (Check conversion here)
Inner Radius of Coaxial Cable: 0.25 Centimeter --> 0.0025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_c = (2*pi*σ_c)/ln(b_r/a_r) --> (2*pi*40)/ln(0.1891/0.0025)

Evaluating ... ...

G_c = 58.0971496950786

STEP 3: Convert Result to Output's Unit

58.0971496950786 Siemens --> No Conversion Required

FINAL ANSWER

58.0971496950786 ≈ 58.09715 Siemens <-- Conductance of Coaxial Cable

(Calculation completed in 00.004 seconds)

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Created by Parminder Singh

Chandigarh University (CU), Punjab

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< 12 Guided Waves in Field Theory Calculators

Characteristic Impedance of Line

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

Total Resistance of Coaxial Cable

Go Total Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Electrical Conductivity)*(1/Inner Radius of Coaxial Cable+1/Outer Radius of Coaxial Cable)

Inductance per unit Length of Coaxial Cable

Go Inductance per unit length of Coaxial Cable = Magnetic Permeability/2*pi*ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)

Conductance of Coaxial Cable

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

Radian Cutoff Angular Frequency

Go Cutoff Angular Frequency = (Mode Number*pi*[c])/(Refractive Index*Plate Distance)

Inner Resistance of Coaxial Cable

Go Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity)

Outer Resistance of Coaxial Cable

Go Outer Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Outer Radius of Coaxial Cable*Electrical Conductivity)

Inductance between Conductors

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

Magnitude of Wavevector

Go Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty)

Skin Effect Resistivity

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

Cutoff Wavelength

Go Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number

Phase Velocity in Microstrip Line

Go Phase Velocity = [c]/sqrt(Dielectric Permitivitty)

Conductance of Coaxial Cable Formula

Conductance of Coaxial Cable = (2*pi*Electrical Conductivity)/ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)
G_c = (2*pi*σ_c)/ln(b_r/a_r)

How does the conductance of a coaxial cable change with variations in its inner and outer radii?

The conductance of a coaxial cable increases with larger inner radius and outer radius. A wider inner and outer radius enhances the cable's ability to facilitate electric current, resulting in higher conductance. Conversely, smaller radii restrict current flow, decreasing conductance.

How to Calculate Conductance of Coaxial Cable?

Conductance of Coaxial Cable calculator uses Conductance of Coaxial Cable = (2*pi*Electrical Conductivity)/ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable) to calculate the Conductance of Coaxial Cable, The Conductance of Coaxial Cable formula quantifies the ease with which electric current can flow through the coaxial cable, taking into account the material's conductivity and the cable's geometric dimensions. Conductance of Coaxial Cable is denoted by G_c symbol.

How to calculate Conductance of Coaxial Cable using this online calculator? To use this online calculator for Conductance of Coaxial Cable, enter Electrical Conductivity (σ_c), Outer Radius of Coaxial Cable (b_r) & Inner Radius of Coaxial Cable (a_r) and hit the calculate button. Here is how the Conductance of Coaxial Cable calculation can be explained with given input values -> 58.09715 = (2*pi*40)/ln(0.1891/0.0025).

FAQ

What is Conductance of Coaxial Cable?

The Conductance of Coaxial Cable formula quantifies the ease with which electric current can flow through the coaxial cable, taking into account the material's conductivity and the cable's geometric dimensions and is represented as G_c = (2*pi*σ_c)/ln(b_r/a_r) or Conductance of Coaxial Cable = (2*pi*Electrical Conductivity)/ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable). Electrical Conductivity is a measure of a material's ability to conduct electric current. It is the reciprocal of electrical resistivity, Outer Radius of Coaxial Cable is the distance from the center to the outer edge of the coaxial cable & Inner Radius of Coaxial Cable is the distance from the center to the inner edge of the coaxial cable.

How to calculate Conductance of Coaxial Cable?

The Conductance of Coaxial Cable formula quantifies the ease with which electric current can flow through the coaxial cable, taking into account the material's conductivity and the cable's geometric dimensions is calculated using Conductance of Coaxial Cable = (2*pi*Electrical Conductivity)/ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable). To calculate Conductance of Coaxial Cable, you need Electrical Conductivity (σ_c), Outer Radius of Coaxial Cable (b_r) & Inner Radius of Coaxial Cable (a_r). With our tool, you need to enter the respective value for Electrical Conductivity, Outer Radius of Coaxial Cable & Inner Radius of Coaxial Cable 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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