EMC Design

Conductor Skin Depth Calculator

Estimate conductor skin depth from frequency, conductivity, and relative permeability.

FORMULAv1.2.0
INPUT PARAMETERS

Enter material and frequency

Material properties vary with frequency, temperature, and processing. Presets are engineering estimates only.

CALCULATION RESULT

Calculation result

Calculated locally

Enter the parameters and run the calculation to see results and model assumptions here.

FORMULA & TRACEABILITY

Formulas and applicability

Formulas, variables, and model boundaries are published. References last reviewed on 2026-08-28.

3 formulas · 3 references
CORE EQUATIONS

Core equations

These equations directly produce the primary results and define the tool’s core model.

1
F01

Skin depth of a good conductor

δ = √(2 / ωμσ) = 1 / √(πfμσ)

Characteristic depth at which field amplitude decays to 1/e of its surface value in a conductor.

δ
Skin Depth Calculatorm
f
FrequencyHz
μ
Absolute permeability μ₀μᵣH/m
σ
ConductivityS/m
Applicability
  • Good-conductor approximation σ ≫ ωε
  • Uniform, isotropic material
DERIVED & CONVERSION

Derived and conversion equations

Derive units, levels, and supporting engineering quantities from the core values.

2
F02

Surface resistance

Rₛ = 1 / (σδ) = √(πfμ / σ)

Equivalent resistance per square when high-frequency current is concentrated near the conductor surface.

Rₛ
Surface resistanceΩ/□
σ
ConductivityS/m
δ
Skin Depth Calculatorm
Applicability
  • Good-conductor approximation
  • Conductor thickness is sufficiently large relative to skin depth
F03

Field-amplitude decay in a conductor

|E(z)| = |E(0)|e^(−z/δ)

Under the good-conductor plane-wave approximation, field amplitude decays exponentially with depth.

z
Depth into the conductorm
δ
Skin Depth Calculatorm
Applicability
  • Plane-wave, uniform semi-infinite good-conductor approximation
REFERENCES

References

01NIST · NIST Technical Note 1536Measuring the Permittivity and Permeability of Lossy Materials2005 · Gives metal skin depth, surface resistance, and their frequency dependence.
02U.S. Naval Research Laboratory · NRL/PU/6790-23-677NRL Plasma Formulary2023 · Includes skin-depth and related electromagnetic formulas for lossy media.
03NIST / CODATA · NIST SP 961 database, 2022 adjustment2022 CODATA recommended values of the fundamental constants2024 web edition · Provides the current vacuum permeability μ₀ = 1.256 637 061 27(20) × 10⁻⁶ N/A².
Engineering use notice

Results use the models and assumptions shown on this page for design estimates and pre-compliance risk review. Complex structures, dispersion, near-field coupling, and test setup can cause significant deviation.

FAQ

Frequently asked questions

What is the skin depth formula?

δ = 1 / √(π·f·μ·σ). For copper (σ = 5.8×10⁷ S/m, μᵣ = 1), δ ≈ 65.2 μm at 1 MHz.

How many skin depths thick should a shield be?

3–5 skin depths is a common engineering reference for effective shielding; the actual requirement depends on target shielding effectiveness, frequency range, and cost.

Why does high-frequency current concentrate near the surface?

In a good conductor (σ ≫ ωε), field amplitude decays as e^(−z/δ), confining current to a thin surface layer and raising effective AC resistance with frequency.

PRE-COMPLIANCE SUPPORT

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