basic

AC Skin Depth in a Conductor Calculator

δ = 1 / √(π · f · μ · σ).

Compute the AC skin depth (the depth at which current density falls to 1/e of its surface value) in a uniform conductor of conductivity σ at angular frequency f, with permeability μ = μ_r · μ₀ where μ₀ = 4π × 10⁻⁷ H/m. δ = 1 / √(π · f · μ · σ). Critical for designing high-frequency transmission lines and inductive heating.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

Hz
S/m

Results

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

δ = 1 / √(π · f · μ · σ); μ = μ_r · μ₀.

In depth

Compute the AC skin depth (the depth at which current density falls to 1/e of its surface value) in a uniform conductor of conductivity σ at angular frequency f, with permeability μ = μ_r · μ₀ where μ₀ = 4π × 10⁻⁷ H/m. δ = 1 / √(π · f · μ · σ). Critical for designing high-frequency transmission lines and inductive heating.