Physics

Skin Depth Calculator

Find the skin depth of current in a conductor at high frequency.

Parameters Live Compute
Calculated Output
Skin depth 0.0001
Skin depth (µm) 65.234
Formula: δ = √(ρ ÷ (π·f·μ))
Step-by-Step Breakdown
1. Values used:
2. Resistivity = 0 Ω·m
3. Frequency = 1,000,000 Hz
4. Relative permeability = 1
5.
6. Skin depth = 0.0001
7. Skin depth = 65.234µm
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At high frequency, AC current crowds toward a conductor's surface — the skin effect.

The math behind it

δ = √(ρ ÷ (π·f·μ)). Current density falls to 1/e at this depth; higher frequency means thinner skin.

Worked Example

Copper at 1 MHz → about 65 µm.

Frequently Asked Questions

Why use stranded/Litz wire?

It increases surface area to combat the skin effect at high frequency.

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