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PHYSICS / CONDUCTOR ATTENUATION

Conductor Skin Depth Calculator

Estimate good-conductor electromagnetic skin depth from frequency, permeability, and conductivity.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

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METHOD / WORKED EXAMPLE

Understand Conductor Skin Depth

Estimate good-conductor electromagnetic skin depth from frequency, permeability, and conductivity. The visible SI inputs keep the selected physical model auditable.

WORKED DEFAULT

Check the calculation with the default inputs

Copper-like conductivity 5.8 x 10^7 S/m at 1 MHz with relative permeability one gives about 66 micrometres.

  1. Check measured inputsf, mu_r, sigma
  2. Apply the stated modeldelta = sqrt(1/(pi f mu_0 mu_r sigma))
  3. Review domain and unitsDisplacement current is negligible relative to conduction current and material properties are uniform and frequency-appropriate.

READ THE RESULT

Interpret the output in context

At one skin depth, field amplitude has fallen to about 1/e of its surface value in the ideal half-space model.

ASSUMPTIONS AND LIMITS

Know where the model stops

  • Frequency is positive and sinusoidal.
  • Permeability and conductivity are effective values at that frequency.

Displacement current is negligible relative to conduction current and material properties are uniform and frequency-appropriate.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

COMMON QUESTIONS

Conductor Skin Depth Calculator FAQs

Which model does Conductor Skin Depth Calculator use?

Apply the sinusoidal good-conductor approximation using effective permeability and conductivity. The formula is a good-conductor approximation rather than a universal penetration model. It evaluates only the displayed equation and entered SI values; it does not infer material data or experimental conditions. Confirm the convention and inputs against the physical setup before using the result.

How should I interpret this conductor attenuation result?

At one skin depth, field amplitude has fallen to about 1/e of its surface value in the ideal half-space model. Increasing frequency, permeability, or conductivity reduces depth by an inverse square root. Display precision is not measurement accuracy. Check dimensions, scale, limiting cases, and input uncertainty against an independent source before using the value in laboratory, engineering, or safety-sensitive work.

What is outside this calculator's scope?

Displacement current is negligible relative to conduction current and material properties are uniform and frequency-appropriate. Finite thickness, roughness, coatings, magnetic loss, complex properties, geometry, heating, and proximity effects are excluded. This educational result is not a simulation, calibration, design approval, or safety determination. Real systems may require measured properties, geometry, boundary conditions, uncertainty propagation, and numerical models beyond these inputs.

Use boundary

Calculation path

Apply the sinusoidal good-conductor approximation using effective permeability and conductivity. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

delta = sqrt(1/(pi f mu_0 mu_r sigma))