RF Skin Depth Equation:
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The skin depth (δ) is a measure of how deeply electromagnetic waves penetrate into a conductive material. At radio frequencies, current tends to flow near the surface of conductors, with the current density decreasing exponentially with depth.
The calculator uses the skin depth equation:
Where:
Explanation: The equation shows that skin depth decreases with increasing frequency, permeability, and conductivity.
Details: Skin depth is crucial in RF engineering for designing antennas, waveguides, and shielding. It determines conductor thickness needed for efficient current carrying at high frequencies.
Tips: Enter angular frequency in rad/s (ω = 2πf where f is frequency in Hz), permeability in H/m, and conductivity in S/m. All values must be positive.
Q1: What's typical skin depth for copper at 1 MHz?
A: About 0.066 mm (μ = 4π×10⁻⁷ H/m, σ = 5.8×10⁷ S/m).
Q2: Why does skin depth matter in PCB design?
A: It determines the effective resistance of traces at high frequencies, affecting signal integrity and power loss.
Q3: How does temperature affect skin depth?
A: Higher temperature typically increases resistivity (decreases σ), increasing skin depth.
Q4: Is skin depth different for magnetic materials?
A: Yes, materials with higher permeability (μ) will have smaller skin depths.
Q5: What's the relationship between skin depth and frequency?
A: Skin depth is inversely proportional to the square root of frequency (δ ∝ 1/√f).