Skin Depth Calculator

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✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖Relative Permeability is the ratio of effective permeability of a particular fluid at a particular saturation to absolute permeability of that fluid at total saturation.ⓘ Relative Permeability [μ_r]			+10% -10%
✖Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.ⓘ Frequency [f]			+10% -10%

✖Skin depth is a measure of the current density.ⓘ Skin Depth [δ]

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Formula

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Skin Depth

Formula

δ = \sqrt{\frac{ρ}{π \cdot μ r \cdot f}}

Example

8E-5 = \sqrt{\frac{0.000017 Ω*m}{π \cdot 9.5 H/m \cdot 90 Hz}}

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Skin Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Skin Depth = sqrt(Resistivity/(pi*Relative Permeability*Frequency))
δ = sqrt(ρ/(pi*μ_r*f))
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 - Skin depth is a measure of the current density.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Relative Permeability - (Measured in Henry per Meter) - Relative Permeability is the ratio of effective permeability of a particular fluid at a particular saturation to absolute permeability of that fluid at total saturation.
Frequency - (Measured in Hertz) - Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.

STEP 1: Convert Input(s) to Base Unit

Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Relative Permeability: 9.5 Henry per Meter --> 9.5 Henry per Meter No Conversion Required
Frequency: 90 Hertz --> 90 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = sqrt(ρ/(pi*μ_r*f)) --> sqrt(1.7E-05/(pi*9.5*90))

Evaluating ... ...

δ = 7.95548144188745E-05

STEP 3: Convert Result to Output's Unit

7.95548144188745E-05 --> No Conversion Required

FINAL ANSWER

7.95548144188745E-05 ≈ 8E-5 <-- Skin Depth

(Calculation completed in 00.020 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Skin Depth Formula

Skin Depth = sqrt(Resistivity/(pi*Relative Permeability*Frequency))
δ = sqrt(ρ/(pi*μ_r*f))

What is Skin Effect?

Skin effect is the tendency of an alternating electric current (AC) to become distributed within a conductor such that the current density is largest near the surface of the conductor and decreases exponentially with greater depths in the conductor.

How to Calculate Skin Depth?

Skin Depth calculator uses Skin Depth = sqrt(Resistivity/(pi*Relative Permeability*Frequency)) to calculate the Skin Depth, The Skin Depth formula is defined as a measure of the current density, and is defined as the distances from the outer edges of a conductor to the point at which the current density falls to 1/e of the value at the surface. Skin Depth is denoted by δ symbol.

How to calculate Skin Depth using this online calculator? To use this online calculator for Skin Depth, enter Resistivity (ρ), Relative Permeability (μ_r) & Frequency (f) and hit the calculate button. Here is how the Skin Depth calculation can be explained with given input values -> 8E-5 = sqrt(1.7E-05/(pi*9.5*90)).

FAQ

What is Skin Depth?

The Skin Depth formula is defined as a measure of the current density, and is defined as the distances from the outer edges of a conductor to the point at which the current density falls to 1/e of the value at the surface and is represented as δ = sqrt(ρ/(pi*μ_r*f)) or Skin Depth = sqrt(Resistivity/(pi*Relative Permeability*Frequency)). Resistivity is the measure of how strongly a material opposes the flow of current through them, Relative Permeability is the ratio of effective permeability of a particular fluid at a particular saturation to absolute permeability of that fluid at total saturation & Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.

How to calculate Skin Depth?

The Skin Depth formula is defined as a measure of the current density, and is defined as the distances from the outer edges of a conductor to the point at which the current density falls to 1/e of the value at the surface is calculated using Skin Depth = sqrt(Resistivity/(pi*Relative Permeability*Frequency)). To calculate Skin Depth, you need Resistivity (ρ), Relative Permeability (μ_r) & Frequency (f). With our tool, you need to enter the respective value for Resistivity, Relative Permeability & Frequency 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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