This skin depth convertor helps engineers and students calculate the depth at which an alternating current penetrates a conductor, depending on frequency and material properties.
Uses of Skin Depth Convertor
1. Evaluating AC current penetration in conductors.
2. Designing high-frequency transmission lines and antennas.
3. Estimating losses in RF and microwave circuits.
4. Material selection for minimizing skin effect in electronics.
Conversion Formula
δ = √(ρ / (π × f × μ₀ × μᵣ))
Explanation of Formula
Here, δ represents the skin depth in meters, ρ is the resistivity of the material in ohm-meters, f is the signal frequency in hertz, μ₀ is the permeability of free space, and μᵣ is the relative permeability of the material. The formula calculates the distance from the surface where the current density drops to 1/e of its surface value.
Example Calculation
For Copper (ρ = 1.678 μΩ·cm, μᵣ ≈ 1) at 1 GHz:
δ = √(1.678×10⁻⁸ / (π × 1×10⁹ × 4π×10⁻⁷ × 1)) ≈ 2.066 μm
Why use this Skin Depth Convertor
• Quickly determine the skin effect in conductors without manual calculations.
• Helps in RF component design and material evaluation.
• Reduces errors when working with high-frequency circuits.
• Supports both preset materials and custom material input.
• Useful for educational purposes and professional engineering analysis.
