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Steinmetz Decoded

Velocity, Frequency, and Wavelength

Modern Form

Section titled “Modern Form”
S=fλS = f \lambda f=Sλf = \frac{S}{\lambda} λ=Sf\lambda = \frac{S}{f}

Variables

Section titled “Variables”
  • S: speed of propagation.
  • f: frequency.
  • lambda: wavelength.

Steinmetz Example

Section titled “Steinmetz Example”

Using S = 3 x 10^10 cm/s, a 60-cycle alternating current gives:

λ=3×101060=5×108 cm\lambda = \frac{3 \times 10^{10}}{60} = 5 \times 10^8\ \text{cm}

That is about 5,000 km, or about 3,100 miles.

Physical Meaning

Section titled “Physical Meaning”

This relation is the bridge between ordinary power frequency, wireless waves, Hertzian waves, infrared, visible light, ultraviolet, and X-rays.