frequency → wavelength
wavelength λ
2.9979
m
result in metres (m)
c = 299 792 458 m/s (exact)
λ = c / f — frequency in hertz
Frequency to Wavelength Calculator
The frequency to wavelength calculator converts electromagnetic frequency (in Hz) into wavelength (in meters) using the formula λ = c / f, where c is the speed of light (3 × 10⁸ m/s). This calculation is essential in antenna design, RF planning, telecommunications, and wireless system engineering.
Formula Used
λ = c / f
λ = Wavelength (meters)
c = 3 × 10⁸ m/s (Speed of Light)
f = Frequency (Hz)
Example Calculations
Example 1: f = 900 MHz
Formula: λ = c / f
c = 3 × 10⁸ m/s
λ = 3 × 10⁸ / 9 × 10⁸
λ = 0.33 meters (33 cm)
Example 2: f = 2.4 GHz
Formula: λ = c / f
c = 3 × 10⁸ m/s
λ = 3 × 10⁸ / 2.4 × 10⁹
λ = 0.125 meters (12.5 cm)
Frequency to Wavelength Reference Chart
| Frequency | Frequency (Hz) | Wavelength (m) |
|---|---|---|
| 30 MHz | 3 × 10⁷ | 10 |
| 150 MHz | 1.5 × 10⁸ | 2 |
| 300 MHz | 3 × 10⁸ | 1 |
| 600 MHz | 6 × 10⁸ | 0.5 |
| 3 GHz | 3 × 10⁹ | 0.1 |
Frequently Asked Questions
1. What is the formula to convert frequency to wavelength?
The formula is λ = c / f, where c = 3 × 10⁸ m/s.
2. Does higher frequency mean shorter wavelength?
Yes. Frequency and wavelength are inversely proportional. Higher frequency always results in shorter wavelength.
3. Why is this important in antenna design?
Antenna length is directly based on wavelength (λ/2 or λ/4). Accurate wavelength calculation ensures proper resonance and impedance matching.