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Penetration Depth of Eddy Currents Formula

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Penetration Depth is defined as the depth upto which electric current can penetrate while flowing through any material. Check FAQs

δ p = \frac{1}{\sqrt{π \cdot f \cdot μ \cdot σ c}}

δ_p - Penetration Depth?f - Frequency?μ - Magnetic Permeability of Medium?σ_c - Electrical Conductivity?π - Archimedes' constant?

Penetration Depth of Eddy Currents Example

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Here is how the Penetration Depth of Eddy Currents equation looks like with Values.

Here is how the Penetration Depth of Eddy Currents equation looks like with Units.

Here is how the Penetration Depth of Eddy Currents equation looks like.

0.0041 = \frac{1}{\sqrt{3.1416 \cdot 5 \cdot 0.95 \cdot 0.4}}

0.0041cm = \frac{1}{\sqrt{3.1416 \cdot 5MHz \cdot 0.95H/m \cdot 0.4S/cm}}

0.0041 = \frac{1}{\sqrt{3.1416 \cdot 5 \cdot 0.95 \cdot 0.4}}

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Penetration Depth of Eddy Currents Solution

Follow our step by step solution on how to calculate Penetration Depth of Eddy Currents?

FIRST Step Consider the formula

δ p = \frac{1}{\sqrt{π \cdot f \cdot μ \cdot σ c}}

Next Step Substitute values of Variables

∴

δ p = \frac{1}{\sqrt{π \cdot 5MHz \cdot 0.95H/m \cdot 0.4S/cm}}

Next Step Substitute values of Constants

∴

δ p = \frac{1}{\sqrt{3.1416 \cdot 5MHz \cdot 0.95H/m \cdot 0.4S/cm}}

Next Step Convert Units

∴

δ p = \frac{1}{\sqrt{3.1416 \cdot 5E+6Hz \cdot 0.95H/m \cdot 40S/m}}

Next Step Prepare to Evaluate

∴

δ p = \frac{1}{\sqrt{3.1416 \cdot 5E+6 \cdot 0.95 \cdot 40}}

Next Step Evaluate

∴

δ p = 4.09306143423355E-05m

Next Step Convert to Output's Unit

∴

δ p = 0.00409306143423355cm

LAST Step Rounding Answer

∴

δ p = 0.0041cm

Penetration Depth of Eddy Currents Formula Elements

Variables

Constants

Functions

Penetration Depth

Penetration Depth is defined as the depth upto which electric current can penetrate while flowing through any material.

Symbol: δ_p

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Penetration Depth

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

Magnetic Permeability of Medium

Magnetic Permeability of Medium is the measure of magnetization that a material obtains in response to an applied magnetic field.

Symbol: μ

Measurement: Magnetic PermeabilityUnit: H/m

Note: Value should be greater than 0.

Formulas to find Magnetic Permeability of Medium

Electrical Conductivity

Electrical Conductivity is a measure of a material's ability to conduct electric current. It is the reciprocal of electrical resistivity.

Symbol: σ_c

Measurement: Electric ConductivityUnit: S/cm

Note: Value should be greater than 0.

Formulas to find Electrical Conductivity

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)

Other formulas in Line Performance Characteristics category

Go Complex Power given Current

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Go Skin Depth in Conductor

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

Go Base Impedance given Base Current

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

Go Base Power

P b = V base \cdot I b

How to Evaluate Penetration Depth of Eddy Currents?

Penetration Depth of Eddy Currents evaluator uses Penetration Depth = 1/sqrt(pi*Frequency*Magnetic Permeability of Medium*Electrical Conductivity) to evaluate 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 evaluate Penetration Depth of Eddy Currents using this online evaluator? To use this online evaluator for Penetration Depth of Eddy Currents, enter Frequency (f), Magnetic Permeability of Medium (μ) & Electrical Conductivity (σ_c) and hit the calculate button.

FAQs on Penetration Depth of Eddy Currents

What is the formula to find Penetration Depth of Eddy Currents?

The formula of Penetration Depth of Eddy Currents is expressed as Penetration Depth = 1/sqrt(pi*Frequency*Magnetic Permeability of Medium*Electrical Conductivity). Here is an example- 0.409306 = 1/sqrt(pi*5000000*0.95*40).

How to calculate Penetration Depth of Eddy Currents?

With Frequency (f), Magnetic Permeability of Medium (μ) & Electrical Conductivity (σ_c) we can find Penetration Depth of Eddy Currents using the formula - Penetration Depth = 1/sqrt(pi*Frequency*Magnetic Permeability of Medium*Electrical Conductivity). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Penetration Depth of Eddy Currents be negative?

No, the Penetration Depth of Eddy Currents, measured in Length cannot be negative.

Which unit is used to measure Penetration Depth of Eddy Currents?

Penetration Depth of Eddy Currents is usually measured using the Centimeter[cm] for Length. Meter[cm], Millimeter[cm], Kilometer[cm] are the few other units in which Penetration Depth of Eddy Currents can be measured.

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Penetration Depth of Eddy Currents Formula

Penetration Depth of Eddy Currents Example

Penetration Depth of Eddy Currents Solution

Penetration Depth of Eddy Currents Formula Elements

Other formulas in Line Performance Characteristics category

How to Evaluate Penetration Depth of Eddy Currents?

FAQs on Penetration Depth of Eddy Currents

Variable Name