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Free Half-Wave Dipole Antenna Calculator Electronics & Robotics
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Free Half-Wave Dipole Antenna Calculator

Calculate exact physical antenna wire lengths, quarter-wave radiator legs, end-effect velocity reduction, and feedpoint impedance.

📡 Frequency & Antenna Wire Specs

Frequency where SWR minimum resonance is desired

📊 Antenna Cutting Dimensions

Total End-to-End Length
32 ft 11.5 in
10.05 meters (468 / f rule = 32.96 ft)
Each Leg (1/4 Wave)
16 ft 5.8 in
5.02 m per radiator wire
Feedpoint Impedance
~73 Ohms
1:1 Choke Balun recommended
Add for End Insulator Wraps: +6 inches (15 cm) per leg
Free Space Wavelength (λ): 21.11 meters (69.26 ft)
Optimal Height Above Ground: 34.6 ft (1/2 λ for low takeoff)

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How Half-Wave Dipoles Work

The half-wave center-fed dipole is the fundamental reference standard for all radio antennas. It consists of two equal collinear conductors, each approximately one quarter-wavelength ($lambda/4$) long, fed at the center where RF current is highest and impedance is lowest.

The Standard Dipole Formulas

L_{\text{feet}} = \frac{468 \cdot k}{f_{\text{MHz}}} \quad \text{(Imperial Formula)}
L_{\text{meters}} = \frac{142.65 \cdot k}{f_{\text{MHz}}} \quad \text{(Metric Formula)}
L_{\text{each leg}} = \frac{L_{\text{total}}}{2}

Why PVC Insulated Wire Cuts Shorter

Bare copper wire traveling through air operates with an end-effect velocity factor $k approx 0.95$ to $0.96$. However, ordinary hardware store insulated stranded hookup wire (such as THHN or PVC insulated wire) has a dielectric coating with a higher dielectric constant ($ arepsilon_r approx 3.0$). The dielectric slows down RF wave velocity along the copper surface, requiring the physical wire to be 2% to 4% shorter to resonate at the exact same operating frequency.

Frequently Asked Questions

Why is the formula 468/f instead of 492/f?

In free space, half a wavelength in feet is 492 / f(MHz). However, real-world practical antennas experience two effects: capacitance at the open ends of the wire (end effect) and the ratio of wire diameter to length. These factors slow down the electromagnetic wave by approximately 5%, reducing the physical resonance length constant from 492 down to approximately 468.

How does an Inverted-V configuration change impedance?

When you drop the ends of a horizontal dipole down at a 90° to 120° angle (an Inverted-V), the capacitive coupling between the two wires increases, dropping feedpoint radiation resistance from roughly 73 ohms down to 50 ohms. This provides an almost perfect native 1:1 match to standard 50-ohm RG-8X or RG-213 coaxial cable.

Should I always cut the wire slightly longer than calculated?

Yes! Always add 6 to 12 inches (15 to 30 cm) to each leg when cutting your initial wire. It is vastly easier to fold back or trim a few inches of copper wire during SWR analyzer tuning than it is to solder on extra wire if your antenna resonates too high in frequency.