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Ground & Radial System

Counterpoise Calculator

Calculate wavelength, radial lengths, total wire requirements, and estimated ground efficiency for a counterpoise system.

2

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Math

1

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Input Parameters

Enter parameters and click Calculate to view results

Formula & Theory

λ = 300/f, Quarter-wave = 75/f, Half-wave = 150/f

This formula is used to calculate antenna parameters for counterpoise calculator.

Overview

The Counterpoise Calculator computes quarter-wave radial lengths, total wire requirements, and estimated ground efficiency ($eta$) for antenna counterpoise and ground radial systems. Vital for HF quarter-wave vertical monopoles and end-fed antennas, an optimized counterpoise minimizes soil return loss and maximizes radiated signal power.

Input Guide

Enter Frequency, Number of Radials exactly in the units shown by this counterpoise. Check the operating band, unit prefix, and decimal position before calculating; these are the inputs used by the formula.

  • Frequency — use MHz.
  • Number of Radials.

Output Guide

The results describe the calculated counterpoise values for the inputs you entered. Check each value against the available space, selected components, feed system, and operating conditions before making a final design decision.

How This Calculator Works

The Counterpoise uses λ = 300/f, Quarter-wave = 75/f, Half-wave = 150/f. Supply Frequency (MHz), Number of Radials in the displayed units, then use the calculated values as the first engineering target for this ground & radial system design or analysis.

Design Notes

A quarter-wave vertical monopole requires a low-resistance RF return path to function effectively. An artificial ground plane—or counterpoise—provides this return path. Ground loss resistance ($R_g$) operates in series with the antenna radiation resistance ($R_r$). Increasing the number of radial wires lowers $R_g$, elevating overall antenna radiation efficiency: $\eta = [R_r / (R_r + R_g + R_l)] \times 100\%$. Elevated counterpoise radials require resonant tuning (quarter-wavelength), whereas buried or ground-contact radials detune due to earth capacitance, making quantity more critical than exact resonant length.

Build and Tuning Notes

For elevated counterpoises, raise radials at least $2\text{ to }3\text{ meters}$ above the soil and use 4 to 8 tuned quarter-wave wires. For ground-level or buried radial systems, deploy 16 to 64 radials laid radially around the base; ground coupling makes length non-critical ($0.1\lambda\text{ to }0.25\lambda$ is typical). Connect all radial wires to a heavy ground plate or central hub, and install a current 1:1 choke balun on the main feedline to prevent RF return currents from flowing back along the outer coaxial shield.

Frequently Asked Questions

What is an RF Counterpoise and why is it necessary for vertical antennas?

An RF counterpoise is an artificial electrical ground system composed of radial wires or conductive mesh. It completes the current loop for a quarter-wave monopole antenna, preventing RF energy from being dissipated as heat in lossy earth soil.

What is the difference between Elevated Radials and Buried Radials?

Elevated radials are suspended above ground and act as resonant quarter-wave elements (4 to 8 wires provide high efficiency). Buried radials interact directly with lossy soil, requiring 16 to 64 non-resonant wires to lower earth return resistance.

How many radials are recommended for a ground-mounted vertical antenna?

For ground-contact systems, 16 radials deliver acceptable efficiency ($approx 90\%$), while 32 to 64 radials approach maximum theoretical efficiency ($ge 97\%$), reducing ground resistance down to $2\text{--}5\;\Omega$.

How does a counterpoise affect antenna feedpoint impedance?

Improving the counterpoise lowers ground loss resistance ($R_g$). As $R_g$ decreases, total feedpoint impedance drops closer to the ideal theoretical $36.5\;\Omega$ radiation resistance of a quarter-wave vertical monopole.

AW
RF Engineering ExpertCalculator content reviewer

Alex Warren

B.Sc. in Electrical & Electronic Engineering (EEE)

Alex specialises in antenna design and wave propagation. His expertise helps ensure these calculators present practical RF concepts, useful design estimates, and clear engineering guidance for students, HAM operators, and wireless professionals.

Electrical & Electronic EngineeringAntenna & Wave Propagation
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