Vertical Length Formula:
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Definition: This calculator determines the optimal vertical length for a ground plane antenna based on the wavelength of the operating frequency.
Purpose: It helps radio enthusiasts and engineers design quarter-wave ground plane antennas for optimal performance.
The calculator uses the formula:
Where:
Explanation: The quarter-wavelength vertical element provides optimal impedance matching to 50-ohm coaxial cable.
Details: Correct antenna length ensures maximum radiation efficiency, proper impedance matching, and optimal signal transmission/reception.
Tips: Enter the wavelength in meters. The wavelength can be calculated from frequency using \( \lambda = \frac{c}{f} \) where c is speed of light (299,792,458 m/s) and f is frequency in Hz.
Q1: Why quarter-wavelength for ground plane antennas?
A: Quarter-wavelength verticals with ground radials present a 50-ohm impedance that matches common coaxial cables.
Q2: How do I find the wavelength for my frequency?
A: Use the formula \( \lambda = \frac{300}{f} \) where f is frequency in MHz and λ is in meters (approximate).
Q3: Does this include the length reduction factor?
A: No, actual construction should account for end effect (typically 95% of calculated length for wire antennas).
Q4: How many radials should a ground plane have?
A: Typically 4 radials, each approximately the same length as the vertical element.
Q5: Can this be used for other antenna types?
A: The quarter-wave principle applies to various antennas, but specific designs may require adjustments.