Wavelength

Wavelength is propagation velocity divided by frequency.

λ = v ÷ f

In free space, 100 MHz has a wavelength near 3 m. In cable or dielectric material, velocity factor reduces propagation speed and wavelength.

Antenna Element Length

A quarter-wave element starts near λ/4, but physical antennas are commonly shortened by end effects, conductor diameter, insulation, surroundings, and the selected velocity factor.

Lquarter = VF × λ ÷ 4

Calculated length is a starting point. Final tuning depends on the installed environment and measured impedance or standing-wave ratio.

Skin Depth

Skin depth is the distance where current density falls to about 36.8% of its surface value in a good conductor.

δ = √[2 ÷ (ωμσ)]

Higher frequency, permeability, or conductivity reduces skin depth. Current still exists below one skin depth; it decays exponentially rather than stopping at a hard boundary.

Practical Limits

Surface roughness, plating thickness, conductor geometry, proximity effect, magnetic materials, temperature, and frequency-dependent material data can all change loss.

Use field-solvers, measured material properties, or transmission-line models when conductor loss is design-critical.

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