Penetration Depth of Eddy Currents Calculator

✖Frequency is the number of cycles per second in an ac sine wave.ⓘ Frequency [f]			+10% -10%
✖Magnetic Permeability of Medium is the measure of magnetization that a material obtains in response to an applied magnetic field.ⓘ Magnetic Permeability of Medium [μ]			+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%

✖Penetration Depth is defined as the depth upto which electric current can penetrate while flowing through any material.ⓘ Penetration Depth of Eddy Currents [δ_p]

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Penetration Depth of Eddy Currents

Formula

`"δ"_{"p"} = 1/sqrt(pi*"f"*"μ"*"σ"_{"c"})`

Example

`"0.004093cm"=1/sqrt(pi*"5MHz"*"0.95H/m"*"0.4S/cm")`

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Penetration Depth of Eddy Currents Solution

STEP 0: Pre-Calculation Summary

Formula Used

Penetration Depth = 1/sqrt(pi*Frequency*Magnetic Permeability of Medium*Electrical Conductivity)
δ_p = 1/sqrt(pi*f*μ*σ_c)
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

Penetration Depth - (Measured in Meter) - Penetration Depth is defined as the depth upto which electric current can penetrate while flowing through any material.
Frequency - (Measured in Hertz) - Frequency is the number of cycles per second in an ac sine wave.
Magnetic Permeability of Medium - (Measured in Henry per Meter) - Magnetic Permeability of Medium is the measure of magnetization that a material obtains in response to an applied magnetic field.
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

Frequency: 5 Megahertz --> 5000000 Hertz (Check conversion here)
Magnetic Permeability of Medium: 0.95 Henry per Meter --> 0.95 Henry per Meter No Conversion Required
Electrical Conductivity: 0.4 Siemens per Centimeter --> 40 Siemens per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ_p = 1/sqrt(pi*f*μ*σ_c) --> 1/sqrt(pi*5000000*0.95*40)

Evaluating ... ...

δ_p = 4.09306143423355E-05

STEP 3: Convert Result to Output's Unit

4.09306143423355E-05 Meter -->0.00409306143423355 Centimeter (Check conversion here)

FINAL ANSWER

0.00409306143423355 ≈ 0.004093 Centimeter <-- Penetration Depth

(Calculation completed in 00.004 seconds)

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

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Birsa Institute of Technology (BIT), Sindri

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B-Parameter using Receiving End Reactive Power Component

Go B Parameter = (((Receiving End Voltage*Sending End Voltage)*cos(Beta B-Parameter-Alpha A-Parameter))-(A Parameter*(Receiving End Voltage^2)*cos(Beta B-Parameter-Alpha A-Parameter)))/Reactive Power

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Go B Parameter = (((Receiving End Voltage*Sending End Voltage)*sin(Beta B-Parameter-Alpha A-Parameter))-(A Parameter*Receiving End Voltage^2*sin(Beta B-Parameter-Alpha A-Parameter)))/Real Power

Penetration Depth of Eddy Currents

Go Penetration Depth = 1/sqrt(pi*Frequency*Magnetic Permeability of Medium*Electrical Conductivity)

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Penetration Depth of Eddy Currents Formula

Penetration Depth = 1/sqrt(pi*Frequency*Magnetic Permeability of Medium*Electrical Conductivity)
δ_p = 1/sqrt(pi*f*μ*σ_c)

What causes the standard depth of penetration of eddy currents to decrease?

The depth that eddy currents penetrate into a material is affected by the frequency of the excitation current and the electrical conductivity and magnetic permeability of the specimen. The depth of penetration decreases with increasing frequency and increasing conductivity and magnetic permeability.

How to Calculate Penetration Depth of Eddy Currents?

Penetration Depth of Eddy Currents calculator uses Penetration Depth = 1/sqrt(pi*Frequency*Magnetic Permeability of Medium*Electrical Conductivity) to calculate the Penetration Depth, Penetration depth of Eddy currents formula is defined as 0.159 times of square root of the ratio of the product of resistivity & 10^9 to the product of permeability & frequency. Penetration Depth is denoted by δ_p symbol.

How to calculate Penetration Depth of Eddy Currents using this online calculator? To use this online calculator for Penetration Depth of Eddy Currents, enter Frequency (f), Magnetic Permeability of Medium (μ) & Electrical Conductivity (σ_c) and hit the calculate button. Here is how the Penetration Depth of Eddy Currents calculation can be explained with given input values -> 0.409306 = 1/sqrt(pi*5000000*0.95*40).

FAQ

What is Penetration Depth of Eddy Currents?

Penetration depth of Eddy currents formula is defined as 0.159 times of square root of the ratio of the product of resistivity & 10^9 to the product of permeability & frequency and is represented as δ_p = 1/sqrt(pi*f*μ*σ_c) or Penetration Depth = 1/sqrt(pi*Frequency*Magnetic Permeability of Medium*Electrical Conductivity). Frequency is the number of cycles per second in an ac sine wave, Magnetic Permeability of Medium is the measure of magnetization that a material obtains in response to an applied magnetic field & Electrical Conductivity is a measure of a material's ability to conduct electric current. It is the reciprocal of electrical resistivity.

How to calculate Penetration Depth of Eddy Currents?

Penetration depth of Eddy currents formula is defined as 0.159 times of square root of the ratio of the product of resistivity & 10^9 to the product of permeability & frequency is calculated using Penetration Depth = 1/sqrt(pi*Frequency*Magnetic Permeability of Medium*Electrical Conductivity). To calculate Penetration Depth of Eddy Currents, you need Frequency (f), Magnetic Permeability of Medium (μ) & Electrical Conductivity (σ_c). With our tool, you need to enter the respective value for Frequency, Magnetic Permeability of Medium & 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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