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Frequency to Wavelength Converter

Convert frequency to wavelength in any medium. Calculates full, half, and quarter wavelengths for antenna design, transmission line, and RF system planning.

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Formula

λ=cVFf\lambda = \frac{c \cdot VF}{f}
λWavelength (m)
cSpeed of light (3×10⁸) (m/s)
VFVelocity factor of medium
fFrequency (Hz)

How It Works

Wavelength is the spatial period of a wave, representing the distance between consecutive wave peaks. In electromagnetic wave propagation, wavelength (λ) is inversely related to frequency (f) and dependent on the wave's velocity in a given medium. The fundamental relationship connects wave speed, frequency, and wavelength through the equation λ = (c · vf) / f.

Worked Example

Problem: Calculate the wavelength for a radio signal at 150 MHz in free space Solution: 1. Velocity (c) = 3 × 10⁸ m/s 2. Velocity factor (vf) = 1.0 (free space) 3. Frequency (f) = 150 × 10⁶ Hz 4. λ = (3 × 10⁸ × 1.0) / (150 × 10⁶) 5. λ = 2 meters

Practical Tips

  • Always specify the medium's velocity factor
  • Use consistent units throughout calculation
  • Remember wavelength changes with medium properties

Common Mistakes

  • Forgetting to account for velocity factor
  • Confusing frequency units (Hz vs MHz)
  • Neglecting to convert units before calculation

Frequently Asked Questions

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