Skin Effect Resistivity Calculator

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Guided Waves in Field Theory

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✖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%
✖Skin depth is a measure of how deeply a current penetrates into a conductor.ⓘ Skin Depth [δ]			+10% -10%
✖Plate Width represents the width of the conductive elements in the transmission line.ⓘ Plate Width [p_b]			+10% -10%

✖Skin Effect Resistivity is the resistivity through both conductors in series over a unit length.ⓘ Skin Effect Resistivity [R_s]

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Formula

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Skin Effect Resistivity

Formula

`"R"_{"s"} = 2/("σ"_{"c"}*"δ"*"p"_{"b"})`

Example

`"124.3781Ω*cm"=2/("0.4S/cm"*"20.1cm"*"20cm")`

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Skin Effect Resistivity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Skin Effect Resistivity = 2/(Electrical Conductivity*Skin Depth*Plate Width)
R_s = 2/(σ_c*δ*p_b)
This formula uses 4 Variables

Variables Used

Skin Effect Resistivity - (Measured in Ohm Meter) - Skin Effect Resistivity is the resistivity through both conductors in series over a unit length.
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.
Skin Depth - (Measured in Meter) - Skin depth is a measure of how deeply a current penetrates into a conductor.
Plate Width - (Measured in Meter) - Plate Width represents the width of the conductive elements in the transmission line.

STEP 1: Convert Input(s) to Base Unit

Electrical Conductivity: 0.4 Siemens per Centimeter --> 40 Siemens per Meter (Check conversion here)
Skin Depth: 20.1 Centimeter --> 0.201 Meter (Check conversion here)
Plate Width: 20 Centimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_s = 2/(σ_c*δ*p_b) --> 2/(40*0.201*0.2)

Evaluating ... ...

R_s = 1.24378109452736

STEP 3: Convert Result to Output's Unit

1.24378109452736 Ohm Meter -->124.378109452736 Ohm Centimeter (Check conversion here)

FINAL ANSWER

124.378109452736 ≈ 124.3781 Ohm Centimeter <-- Skin Effect Resistivity

(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 Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 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)

Skin Effect Resistivity Formula

Skin Effect Resistivity = 2/(Electrical Conductivity*Skin Depth*Plate Width)
R_s = 2/(σ_c*δ*p_b)

How does higher conductivity and reduced skin depth impact skin effect resistance?

As electrical conductivity rises, the skin effect resistance decreases, facilitating greater current flow near the surface. Similarly, reducing the skin depth results in lower resistance, emphasizing the significance of surface conduction in high-frequency scenarios.

How to Calculate Skin Effect Resistivity?

Skin Effect Resistivity calculator uses Skin Effect Resistivity = 2/(Electrical Conductivity*Skin Depth*Plate Width) to calculate the Skin Effect Resistivity, The Skin Effect Resistivity formula quantifies the skin effect resistivity based on the material's conductivity and the skin depth. Skin Effect Resistivity is denoted by R_s symbol.

How to calculate Skin Effect Resistivity using this online calculator? To use this online calculator for Skin Effect Resistivity, enter Electrical Conductivity (σ_c), Skin Depth (δ) & Plate Width (p_b) and hit the calculate button. Here is how the Skin Effect Resistivity calculation can be explained with given input values -> 12437.81 = 2/(40*0.201*0.2).

FAQ

What is Skin Effect Resistivity?

The Skin Effect Resistivity formula quantifies the skin effect resistivity based on the material's conductivity and the skin depth and is represented as R_s = 2/(σ_c*δ*p_b) or Skin Effect Resistivity = 2/(Electrical Conductivity*Skin Depth*Plate Width). Electrical Conductivity is a measure of a material's ability to conduct electric current. It is the reciprocal of electrical resistivity, Skin depth is a measure of how deeply a current penetrates into a conductor & Plate Width represents the width of the conductive elements in the transmission line.

How to calculate Skin Effect Resistivity?

The Skin Effect Resistivity formula quantifies the skin effect resistivity based on the material's conductivity and the skin depth is calculated using Skin Effect Resistivity = 2/(Electrical Conductivity*Skin Depth*Plate Width). To calculate Skin Effect Resistivity, you need Electrical Conductivity (σ_c), Skin Depth (δ) & Plate Width (p_b). With our tool, you need to enter the respective value for Electrical Conductivity, Skin Depth & Plate Width 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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