Skin depth calculator — copper & aluminium
Work out the skin depth in copper and aluminium at a given frequency — the depth current actually flows in, which matters for coax, busbars and RF.
Inputs
Hz — mains, audio and RF; presets below
Conductor
Skin depth
Both metals at 50 Hz — compare without toggling.
- Copper skin depth
- 9.35mm
- Aluminium skin depth
- 11.59mm
Quick reference — copper
Skin depth in copper at common mains and RF frequencies.
| Frequency | Skin depth |
|---|---|
| 50 Hz (mains) | 9.30 mm |
| 60 Hz (mains) | 8.50 mm |
| 1 kHz | 2.10 mm |
| 100 kHz | 210 µm |
| 1 MHz | 66.0 µm |
Values are for solid copper at 20 °C. Aluminium skin depth runs about 1.24× deeper because of its higher resistivity.
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Frequently asked questions
What is the skin depth of copper at 60 Hz?
About 8.5 mm. Skin depth is the depth at which current density falls to 1/e (about 37%) of its surface value, from δ = √(ρ / (π × f × μ₀ × μᵣ)) with μ₀ = 4π × 10⁻⁷ H/m and μᵣ = 1 for non-magnetic metals. At 50 Hz the copper figure is about 9.3 mm.
Why is aluminium skin depth deeper than copper?
Skin depth grows with the square root of resistivity, and aluminium (ρ = 2.65 × 10⁻⁸ Ω·m) is more resistive than copper (ρ = 1.724 × 10⁻⁸ Ω·m), so aluminium skin depth runs about 1.24× deeper at the same frequency. Both metals are non-magnetic, so μᵣ = 1 for each.
How deep does current flow in copper at 1 MHz?
Roughly 66 µm, and the quick-reference table on the page lists 1 MHz copper at 0.066 mm. Above about 1 MHz both copper and aluminium depths fall into the micrometre range, so plating thickness and surface finish matter more than conductor bulk — relevant for RF connectors and busbars.
How it works
Skin depth follows δ = √(ρ ÷ (π · f · μ₀ · μᵣ)) with μ₀ = 4π × 10⁻⁷ H/m and μᵣ = 1 for both copper and aluminium (non-magnetic). Copper ρ = 1.724 × 10⁻⁸ Ω·m; aluminium ρ = 2.65 × 10⁻⁸ Ω·m. Above the skin depth, effective conductor resistance rises roughly in proportion to 1/δ; plated pins carry the signal in the plating material, and hollow busbars exploit the effect to save weight at mains frequency. IC Source Direct provides this tool for reference only.
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