Total Resistance of Coaxial Cable Calculator

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Guided Waves in Field Theory

Electromagnetic Radiation and Antennas

Magnetic Forces and Materials

✖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 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%
✖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%

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

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Formula

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Total Resistance of Coaxial Cable

Formula

`"R"_{"t"} = 1/(2*pi*"δ"*"σ"_{"c"})*(1/"a"_{"r"}+1/"b"_{"r"})`

Example

`"8.022839Ω"=1/(2*pi*"20.1cm"*"0.4S/cm")*(1/"0.25cm"+1/"18.91cm")`

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Total Resistance of Coaxial Cable Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Electrical Conductivity)*(1/Inner Radius of Coaxial Cable+1/Outer Radius of Coaxial Cable)
R_t = 1/(2*pi*δ*σ_c)*(1/a_r+1/b_r)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Total Resistance of Coaxial Cable - (Measured in Ohm) - Total Resistance of Coaxial Cable is a measure of the opposition that the conductor of the coaxial cable presents to the flow of electric current.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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)
Inner Radius of Coaxial Cable: 0.25 Centimeter --> 0.0025 Meter (Check conversion here)
Outer Radius of Coaxial Cable: 18.91 Centimeter --> 0.1891 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_t = 1/(2*pi*δ*σ_c)*(1/a_r+1/b_r) --> 1/(2*pi*0.201*40)*(1/0.0025+1/0.1891)

Evaluating ... ...

R_t = 8.02283850351814

STEP 3: Convert Result to Output's Unit

8.02283850351814 Ohm --> No Conversion Required

FINAL ANSWER

8.02283850351814 ≈ 8.022839 Ohm <-- Total 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

Gowthaman N has created this Calculator and 25+ more calculators!

Verified 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)

Total Resistance of Coaxial Cable Formula

Total Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Electrical Conductivity)*(1/Inner Radius of Coaxial Cable+1/Outer Radius of Coaxial Cable)
R_t = 1/(2*pi*δ*σ_c)*(1/a_r+1/b_r)

What influences the total resistance of a coaxial cable?

The total resistance is impacted by factors like inner radius,outer radius, insulation thickness, and inner and outer 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 Total Resistance of Coaxial Cable?

Total Resistance of Coaxial Cable calculator uses Total Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Electrical Conductivity)*(1/Inner Radius of Coaxial Cable+1/Outer Radius of Coaxial Cable) to calculate the Total Resistance of Coaxial Cable, The Total Resistance of Coaxial Cable this formula is used in electrical engineering to assess the impact of the coaxial cable's inner and outer dimensions and and the conductivity of the inner and outer conductor on its internal resistance. Total Resistance of Coaxial Cable is denoted by R_t symbol.

How to calculate Total Resistance of Coaxial Cable using this online calculator? To use this online calculator for Total Resistance of Coaxial Cable, enter Skin Depth (δ), Electrical Conductivity (σ_c), Inner Radius of Coaxial Cable (a_r) & Outer Radius of Coaxial Cable (b_r) and hit the calculate button. Here is how the Total Resistance of Coaxial Cable calculation can be explained with given input values -> 8.022839 = 1/(2*pi*0.201*40)*(1/0.0025+1/0.1891).

FAQ

What is Total Resistance of Coaxial Cable?

The Total Resistance of Coaxial Cable this formula is used in electrical engineering to assess the impact of the coaxial cable's inner and outer dimensions and and the conductivity of the inner and outer conductor on its internal resistance and is represented as R_t = 1/(2*pi*δ*σ_c)*(1/a_r+1/b_r) or Total Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Electrical Conductivity)*(1/Inner Radius of Coaxial Cable+1/Outer Radius of 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, Inner Radius of Coaxial Cable is the distance from the center to the inner edge of the coaxial cable & Outer Radius of Coaxial Cable is the distance from the center to the outer edge of the coaxial cable.

How to calculate Total Resistance of Coaxial Cable?

The Total Resistance of Coaxial Cable this formula is used in electrical engineering to assess the impact of the coaxial cable's inner and outer dimensions and and the conductivity of the inner and outer conductor on its internal resistance is calculated using Total Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Electrical Conductivity)*(1/Inner Radius of Coaxial Cable+1/Outer Radius of Coaxial Cable). To calculate Total Resistance of Coaxial Cable, you need Skin Depth (δ), Electrical Conductivity (σ_c), Inner Radius of Coaxial Cable (a_r) & Outer Radius of Coaxial Cable (b_r). With our tool, you need to enter the respective value for Skin Depth, Electrical Conductivity, Inner Radius of Coaxial Cable & Outer 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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