Antenna Length Formula:
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Definition: This calculator determines the optimal length for a quarter-wavelength antenna based on the frequency of operation.
Purpose: It helps radio enthusiasts, engineers, and hobbyists design efficient antennas for specific frequency ranges.
The calculator uses the formula:
Where:
Explanation: The wavelength is calculated by dividing the speed of light by the frequency, then divided by 4 to get the quarter wavelength.
Details: Quarter-wave antennas are widely used because they provide good impedance matching and radiation efficiency while being compact.
Tips: Enter the operating frequency in Hz and speed of light (default 3×10⁸ m/s). All values must be > 0.
Q1: Why quarter wavelength?
A: Quarter-wave antennas are efficient and practical, using a ground plane as the other "quarter" to form a half-wave dipole equivalent.
Q2: What's a typical frequency range?
A: This works for any frequency - from AM radio (kHz) to WiFi (GHz) - just enter your specific frequency.
Q3: Should I adjust the speed of light value?
A: Only if operating in a different medium (e.g., for coaxial cable multiply by velocity factor ~0.66-0.95).
Q4: Does this work for both transmitting and receiving?
A: Yes, the optimal length is the same for both transmission and reception.
Q5: How precise does the length need to be?
A: For best results, keep within 1% of calculated length, though antennas often have some tuning flexibility.