Skin Depth in Conductor Calculator

✖Specific Resistance is also known as resisitivity. The resistivity of a material is the resistance of a wire of that material of unit length and unit area of cross-section.ⓘ Specific Resistance [R_s]			+10% -10%
✖Frequency is the number of cycles per second in an ac sine wave.ⓘ Frequency [f]			+10% -10%
✖Relative permeability is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.ⓘ Relative Permeability [μ_r]			+10% -10%

✖Skin Depth is defined as the depth till which current flows in a conductor.ⓘ Skin Depth in Conductor [δ]

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Skin Depth in Conductor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Skin Depth = sqrt(Specific Resistance/(Frequency*Relative Permeability*4*pi*10^-7))
δ = sqrt(R_s/(f*μ_r*4*pi*10^-7))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Skin Depth - (Measured in Meter) - Skin Depth is defined as the depth till which current flows in a conductor.
Specific Resistance - (Measured in Ohm Meter) - Specific Resistance is also known as resisitivity. The resistivity of a material is the resistance of a wire of that material of unit length and unit area of cross-section.
Frequency - (Measured in Hertz) - Frequency is the number of cycles per second in an ac sine wave.
Relative Permeability - Relative permeability is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.

STEP 1: Convert Input(s) to Base Unit

Specific Resistance: 113.59 Microhm Centimeter --> 1.1359E-06 Ohm Meter (Check conversion here)
Frequency: 5 Megahertz --> 5000000 Hertz (Check conversion here)
Relative Permeability: 0.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = sqrt(R_s/(f*μ_r*4*pi*10^-7)) --> sqrt(1.1359E-06/(5000000*0.9*4*pi*10^-7))

Evaluating ... ...

δ = 0.000448186592910294

STEP 3: Convert Result to Output's Unit

0.000448186592910294 Meter --> No Conversion Required

FINAL ANSWER

0.000448186592910294 ≈ 0.000448 Meter <-- Skin Depth

(Calculation completed in 00.020 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Line Performance Characteristics Calculators

Skin Depth in Conductor

LaTeX Go Skin Depth = sqrt(Specific Resistance/(Frequency*Relative Permeability*4*pi*10^-7))

Base Impedance given Base Current

LaTeX Go Base Impedance = Base Voltage/Base Current (PU)

Complex Power given Current

LaTeX Go Complex Power = Electric Current^2*Impedance

Base Power

LaTeX Go Base Power = Base Voltage*Base Current

Skin Depth in Conductor Formula

LaTeX Go

Skin Depth = sqrt(Specific Resistance/(Frequency*Relative Permeability*4*pi*10^-7))
δ = sqrt(R_s/(f*μ_r*4*pi*10^-7))

What is Complex power?

Complex power is the product of the RMS voltage phasor and the complex conjugate of the RMS current phasor. As a complex quantity, its real part is real power P and its imaginary part is reactive power Q.

How to Calculate Skin Depth in Conductor?

Skin Depth in Conductor calculator uses Skin Depth = sqrt(Specific Resistance/(Frequency*Relative Permeability*4*pi*10^-7)) to calculate the Skin Depth, The Skin depth in conductor formula is defined as the depth till which current flows in a conductor. Skin Depth is denoted by δ symbol.

How to calculate Skin Depth in Conductor using this online calculator? To use this online calculator for Skin Depth in Conductor, enter Specific Resistance (R_s), Frequency (f) & Relative Permeability (μ_r) and hit the calculate button. Here is how the Skin Depth in Conductor calculation can be explained with given input values -> 0.000448 = sqrt(1.1359E-06/(5000000*0.9*4*pi*10^-7)).

FAQ

What is Skin Depth in Conductor?

The Skin depth in conductor formula is defined as the depth till which current flows in a conductor and is represented as δ = sqrt(R_s/(f*μ_r*4*pi*10^-7)) or Skin Depth = sqrt(Specific Resistance/(Frequency*Relative Permeability*4*pi*10^-7)). Specific Resistance is also known as resisitivity. The resistivity of a material is the resistance of a wire of that material of unit length and unit area of cross-section, Frequency is the number of cycles per second in an ac sine wave & Relative permeability is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.

How to calculate Skin Depth in Conductor?

The Skin depth in conductor formula is defined as the depth till which current flows in a conductor is calculated using Skin Depth = sqrt(Specific Resistance/(Frequency*Relative Permeability*4*pi*10^-7)). To calculate Skin Depth in Conductor, you need Specific Resistance (R_s), Frequency (f) & Relative Permeability (μ_r). With our tool, you need to enter the respective value for Specific Resistance, Frequency & Relative Permeability 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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