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Skin Depth Formula

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Skin depth is a measure of the current density. Check FAQs

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

δ - Skin Depth?ρ - Resistivity?μ_r - Relative Permeability?f - Frequency?π - Archimedes' constant?

Skin Depth Example

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Here is how the Skin Depth equation looks like with Values.

Here is how the Skin Depth equation looks like with Units.

Here is how the Skin Depth equation looks like.

8E-5 = \sqrt{\frac{1.7E-5}{3.1416 \cdot 9.5 \cdot 90}}

8E-5 = \sqrt{\frac{1.7E-5Ω*m}{3.1416 \cdot 9.5H/m \cdot 90Hz}}

8E-5 = \sqrt{\frac{1.7E-5}{3.1416 \cdot 9.5 \cdot 90}}

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Skin Depth Solution

Follow our step by step solution on how to calculate Skin Depth?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δ = \sqrt{\frac{1.7E-5Ω*m}{π \cdot 9.5H/m \cdot 90Hz}}

Next Step Substitute values of Constants

∴

δ = \sqrt{\frac{1.7E-5Ω*m}{3.1416 \cdot 9.5H/m \cdot 90Hz}}

Next Step Prepare to Evaluate

∴

δ = \sqrt{\frac{1.7E-5}{3.1416 \cdot 9.5 \cdot 90}}

Next Step Evaluate

∴

δ = 7.95548144188745E-05

LAST Step Rounding Answer

∴

δ = 8E-5

Skin Depth Formula Elements

Variables

Constants

Functions

Skin Depth

Skin depth is a measure of the current density.

Symbol: δ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Skin Depth

Resistivity

Resistivity is the measure of how strongly a material opposes the flow of current through them.

Symbol: ρ

Measurement: Electric ResistivityUnit: Ω*m

Note: Value can be positive or negative.

Formulas to find Resistivity

Relative Permeability

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.

Symbol: μ_r

Measurement: Magnetic PermeabilityUnit: H/m

Note: Value should be greater than 0.

Formulas to find Relative Permeability

Frequency

Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

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How to Evaluate Skin Depth?

Skin Depth evaluator uses Skin Depth = sqrt(Resistivity/(pi*Relative Permeability*Frequency)) to evaluate 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 evaluate Skin Depth using this online evaluator? To use this online evaluator for Skin Depth, enter Resistivity (ρ), Relative Permeability (μ_r) & Frequency (f) and hit the calculate button.

FAQs on Skin Depth

What is the formula to find Skin Depth?

The formula of Skin Depth is expressed as Skin Depth = sqrt(Resistivity/(pi*Relative Permeability*Frequency)). Here is an example- 8E-5 = sqrt(1.7E-05/(pi*9.5*90)).

How to calculate Skin Depth?

With Resistivity (ρ), Relative Permeability (μ_r) & Frequency (f) we can find Skin Depth using the formula - Skin Depth = sqrt(Resistivity/(pi*Relative Permeability*Frequency)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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Skin Depth Formula

Skin Depth Example

Skin Depth Solution

Skin Depth Formula Elements

Other formulas in Beam Tube category

How to Evaluate Skin Depth?

FAQs on Skin Depth

Variable Name