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Free 1/4 Wave Ground Plane Antenna Calculator Electronics & RF
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Free 1/4 Wave Ground Plane Antenna Calculator

Calculate vertical whip radiator length, 45° drooping ground radials, and achieve an exact 50-ohm coaxial match on an SO-239 flange connector.

📡 Frequency & Construction Options

MHz

📊 Antenna Cut Lengths & Matching

Vertical Whip Radiator Cut Length
19.24 in (48.9 cm)
19-1/4" physical cutting length with K-factor 0.952
Ground Radials Length (4x)
20.20 in (51.3 cm)
Cut 5% longer than whip
Feedpoint Impedance
~50.0 Ω
1.02:1 SWR on 50Ω Coax
Radiation Pattern
Omni-Directional
Low take-off angle horizon
Radiation Gain
2.15 dBi (0 dBd)
Standard ground plane gain
🛠️ The $5 SO-239 Homebrew Antenna
Solder the vertical whip directly into the center solder cup of a female SO-239 flange socket. Solder or screw the four ground radials into the four mounting screw holes on the flange, bending them down at 45°. Plug your 50Ω coax PL-259 cable into the bottom, and you have a virtually indestructible base station antenna!

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How the 1/4-Wave Ground Plane Antenna Operates

The quarter-wave ground plane is one of the most reliable and easiest omnidirectional antennas to build for VHF and UHF radio communications. It consists of a vertical quarter-wavelength radiator element driven against an artificial ground plane formed by three or four ground radials.

1. Why Drooping Radials at 45° Fixes SWR

When the ground radials are mounted horizontally (0° flat), the theoretical feedpoint radiation resistance of a quarter-wave monopole is only 36.5 Ω. Connected to standard 50 Ω coaxial cable (RG-58, RG-8X, LMR-400), this mismatch causes an SWR of 1.4:1.

By bending the four ground radials downward at a 45-degree angle, the electromagnetic coupling between the vertical radiator and the ground plane decreases, which raises the radiation resistance smoothly from 36 Ω directly to 50 Ω, providing a near-perfect 1.05:1 SWR without any matching coils or capacitors!

2. Formula with End-Effect K-Factor

Length_Whip (inches) = [234 × K] / f_MHz × 12
Length_Radials (inches) = Length_Whip × 1.05

Cutting the radials 5% longer than the vertical whip pushes the RF current node higher up the radiator, lowering the radiation take-off angle toward the horizon for maximum line-of-sight distance.

Frequently Asked Questions

How many ground radials are necessary on an elevated ground plane antenna?

Four radials spaced 90 degrees apart provide an excellent artificial ground plane with virtually circular omnidirectional symmetry. Adding more than four radials offers diminishing returns (less than 0.2 dB gain difference).

Can this antenna be mounted outdoors in weather?

Yes! Coat the center solder connection and the back of the SO-239 connector with silicone sealant or liquid electrical tape to prevent water infiltration into the coaxial cable dielectric.

What is the best material for the whip and radials?

1/8" (3.2 mm) brass welding rods, stainless steel TIG rods, or copper heavy wire (10-12 AWG) are ideal. Stainless steel TIG rods are extremely rigid and will not droop or bend in 60 mph gale-force winds.

Does an elevated ground plane antenna need a lightning arrestor?

Yes. Any outside antenna mounted on a roof or mast should have a coaxial lightning surge protector (like an Alpha Delta or PolyPhaser gas discharge arrestor) installed on the feedline where it enters the building, bonded to an 8-foot copper ground rod.