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Skin Depth in Conductor Formula

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Skin Depth is defined as the depth till which current flows in a conductor. Check FAQs

δ = \sqrt{\frac{R s}{f \cdot μ r \cdot 4 \cdot π \cdot 10^{- 7}}}

δ - Skin Depth?R_s - Specific Resistance?f - Frequency?μ_r - Relative Permeability?π - Archimedes' constant?

Skin Depth in Conductor Example

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

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

Here is how the Skin Depth in Conductor equation looks like.

0.0004 = \sqrt{\frac{113.59}{5 \cdot 0.9 \cdot 4 \cdot 3.1416 \cdot 10^{- 7}}}

0.0004m = \sqrt{\frac{113.59μΩ*cm}{5MHz \cdot 0.9 \cdot 4 \cdot 3.1416 \cdot 10^{- 7}}}

0.0004 = \sqrt{\frac{113.59}{5 \cdot 0.9 \cdot 4 \cdot 3.1416 \cdot 10^{- 7}}}

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Skin Depth in Conductor Solution

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

FIRST Step Consider the formula

δ = \sqrt{\frac{R s}{f \cdot μ r \cdot 4 \cdot π \cdot 10^{- 7}}}

Next Step Substitute values of Variables

∴

δ = \sqrt{\frac{113.59μΩ*cm}{5MHz \cdot 0.9 \cdot 4 \cdot π \cdot 10^{- 7}}}

Next Step Substitute values of Constants

∴

δ = \sqrt{\frac{113.59μΩ*cm}{5MHz \cdot 0.9 \cdot 4 \cdot 3.1416 \cdot 10^{- 7}}}

Next Step Convert Units

∴

δ = \sqrt{\frac{1.1E-6Ω*m}{5E+6Hz \cdot 0.9 \cdot 4 \cdot 3.1416 \cdot 10^{- 7}}}

Next Step Prepare to Evaluate

∴

δ = \sqrt{\frac{1.1E-6}{5E+6 \cdot 0.9 \cdot 4 \cdot 3.1416 \cdot 10^{- 7}}}

Next Step Evaluate

∴

δ = 0.000448186592910294m

LAST Step Rounding Answer

∴

δ = 0.0004m

Skin Depth in Conductor Formula Elements

Variables

Constants

Functions

Skin Depth

Skin Depth is defined as the depth till which current flows in a conductor.

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Skin Depth

Specific Resistance

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.

Symbol: R_s

Measurement: Electric ResistivityUnit: μΩ*cm

Note: Value should be greater than 0.

Formulas to find Specific Resistance

Frequency

Frequency is the number of cycles per second in an ac sine wave.

Symbol: f

Measurement: FrequencyUnit: MHz

Note: Value should be greater than 0.

Formulas to find Frequency

Relative Permeability

Relative permeability is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.

Symbol: μ_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Relative Permeability

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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Z base = \frac{V base}{I pu(b)}

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P b = V base \cdot I b

Go Base Current

I pu(b) = \frac{P b}{V base}

How to Evaluate Skin Depth in Conductor?

Skin Depth in Conductor evaluator uses Skin Depth = sqrt(Specific Resistance/(Frequency*Relative Permeability*4*pi*10^-7)) to evaluate 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 evaluate Skin Depth in Conductor using this online evaluator? To use this online evaluator for Skin Depth in Conductor, enter Specific Resistance (R_s), Frequency (f) & Relative Permeability (μ_r) and hit the calculate button.

FAQs on Skin Depth in Conductor

What is the formula to find Skin Depth in Conductor?

The formula of Skin Depth in Conductor is expressed as Skin Depth = sqrt(Specific Resistance/(Frequency*Relative Permeability*4*pi*10^-7)). Here is an example- 0.000448 = sqrt(1.1359E-06/(5000000*0.9*4*pi*10^-7)).

How to calculate Skin Depth in Conductor?

With Specific Resistance (R_s), Frequency (f) & Relative Permeability (μ_r) we can find Skin Depth in Conductor using the formula - Skin Depth = sqrt(Specific Resistance/(Frequency*Relative Permeability*4*pi*10^-7)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Skin Depth in Conductor be negative?

No, the Skin Depth in Conductor, measured in Length cannot be negative.

Which unit is used to measure Skin Depth in Conductor?

Skin Depth in Conductor is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Skin Depth in Conductor can be measured.

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Skin Depth in Conductor Formula

Skin Depth in Conductor Example

Skin Depth in Conductor Solution

Skin Depth in Conductor Formula Elements

Other formulas in Line Performance Characteristics category

How to Evaluate Skin Depth in Conductor?

FAQs on Skin Depth in Conductor

Variable Name