Efhw Antenna Calculator






EFHW Antenna Calculator – End-Fed Half-Wave Wire Length & Harmonics


EFHW Antenna Calculator

Design efficient multi-band End-Fed Half-Wave antennas with precision

Antenna Parameters


Enter the lowest frequency you wish to operate (fundamental frequency).
Please enter a valid positive frequency.


Typically 0.95 for insulated wire, 0.97 for bare wire.
Velocity factor must be between 0.5 and 1.0.

Total Radiator Length
66.30 ft
Length (Metric)
20.21 m
Quarter Wave (Stub)
33.15 ft
Rec. Counterpoise
3.31 ft

Formula Used: Length (ft) = (492 × Velocity Factor) / Frequency (MHz).

This accounts for the wire insulation and end effects better than the standard 468/f dipole formula.

Harmonic Resonances


Harmonic Order Frequency (MHz) Band (Approx) Theoretical SWR Risk

Length Sensitivity Chart


End-Fed Half-Wave (EFHW) Antenna Calculator: The Complete Guide

Whether you are a seasoned amateur radio operator or a beginner looking to set up your first HF station, the EFHW antenna calculator is an essential tool for designing highly efficient, multi-band wire antennas. The End-Fed Half-Wave antenna has surged in popularity due to its ease of deployment and ability to operate on multiple harmonic bands without a tuner.

What is an EFHW Antenna Calculator?

An EFHW antenna calculator helps radio operators determine the precise length of wire needed to create an antenna that is naturally resonant at a specific frequency and its even harmonics. Unlike a center-fed dipole, which requires a feedline in the middle of the span, an End-Fed Half-Wave is fed from one end, making it extremely convenient for portable operations, stealth installations, or setups where the feed point is near the radio shack.

This calculator is designed for ham radio operators who need to cut wire for bands such as 80m, 40m, 20m, or 10m. By inputting your target fundamental frequency, the tool provides the physical wire length required, adjusted for the velocity factor of the wire you intend to use.

EFHW Formula and Mathematical Explanation

The physics behind an antenna’s resonant length is derived from the speed of light. However, radio waves travel slower in wire than in a vacuum. This difference is defined by the “Velocity Factor.”

The standard formula used in this EFHW antenna calculator is:

Length (feet) = (492 × VF) / Frequency (MHz)

Where:

Variable Meaning Typical Unit Typical Range
492 Constant for half-wave in free space (feet) Constant N/A
VF Velocity Factor Ratio (0-1) 0.95 (insulated), 0.97 (bare)
Frequency Target Operating Frequency MHz 1.8 – 50 MHz

Note: While many dipole calculators use 468/f, EFHWs often require slightly longer wire because of the end-effect and the high impedance matching transformer (usually a 49:1 Unun). The formula 492 * VF is generally more accurate for end-fed configurations before final trimming.

Practical Examples (Real-World Use Cases)

Example 1: The 40-Meter Band Portable Setup

An operator wants to build a portable EFHW for the 40-meter band (7.0 MHz) using insulated wire.

  • Target Frequency: 7.05 MHz (center of CW/Digital portion)
  • Wire Type: Insulated (VF = 0.95)
  • Calculation: (492 × 0.95) / 7.05 = 66.3 feet
  • Harmonics: This antenna will also resonate effectively on 14.1 MHz (20m), 21.15 MHz (15m), and 28.2 MHz (10m).

Example 2: The 80-Meter Base Station

A base station installation for the 80-meter band.

  • Target Frequency: 3.6 MHz
  • Wire Type: Bare Copper (VF = 0.97)
  • Calculation: (492 × 0.97) / 3.6 = 132.56 feet
  • Result: A wire approximately 132.5 feet long is required. This long wire will perform exceptionally well on 40m, 20m, and 10m bands as well.

How to Use This EFHW Antenna Calculator

  1. Enter Design Frequency: Input the lowest frequency (in MHz) you plan to use. This is your “fundamental” frequency.
  2. Select Velocity Factor: Leave at 0.95 if using standard insulated wire (like speaker wire or Polystealth). Change to 0.97 for bare copper wire.
  3. Review Results: The primary result shows the total wire length in feet.
  4. Check Harmonics: Look at the harmonic table to see what other bands you can operate on without a tuner.
  5. Cut Long: Always cut your wire 1-2 feet longer than the calculator suggests to allow for folding back at insulators and tuning adjustments.

Key Factors That Affect EFHW Results

While the EFHW antenna calculator provides a solid starting point, real-world physics will introduce variables.

1. Velocity Factor of Wire

Electricity travels slower through insulated wire than bare wire. Thicker insulation reduces the velocity factor further, requiring a shorter physical wire to achieve the same electrical length.

2. Height Above Ground

The proximity of the ground acts as a capacitor plate relative to your antenna. Lower antennas generally resonate at a lower frequency than calculated. You may need to shorten the wire if the antenna is deployed very close to the ground.

3. Transformer (Unun) Inductance

The 49:1 or 64:1 transformer used to match the high impedance (2500-3000 ohms) to 50 ohms adds some electrical length. Often, this means you need to trim the wire slightly shorter than the pure theoretical calculation.

4. Counterpoise

Although “End-Fed,” the antenna needs a return path for current. Often the coax shield acts as the counterpoise. Adding a dedicated short counterpoise (approx 0.05 wavelength, or ~3-6 feet for 40m) can stabilize SWR but might slightly shift the resonant frequency.

5. Nearby Objects

Metal roofs, gutters, and dense foliage can detune an antenna. Always try to keep the wire in the clear. Objects near the high-voltage end (the far tip) have the most significant effect on tuning.

6. Configuration (Sloper vs. Inverted L)

How you hang the wire matters. An Inverted L configuration often has a slightly different impedance profile than a straight sloper or flat top, potentially affecting the SWR bandwidth.

Frequently Asked Questions (FAQ)

Q: Do I need an antenna tuner with an EFHW?

A: Ideally, no. If cut and tuned correctly, an EFHW should have an SWR below 1.5:1 on the fundamental frequency and its harmonics. However, a tuner can help clean up the match at the band edges.

Q: Why use a 49:1 Unun instead of a 9:1?

A: A half-wave antenna fed at the end has a very high impedance (approx 2500-4000 ohms). A 49:1 transformer matches this closely to 50 ohms. A 9:1 unun is used for random wire antennas, not resonant half-waves.

Q: Can I use this calculator for a random wire antenna?

A: No. Random wire antennas intentionally avoid resonant lengths. This EFHW antenna calculator is specifically for resonant half-wave lengths.

Q: How long should the counterpoise be?

A: A common rule of thumb is 0.05 wavelengths. For a 40m antenna, this is about 6-7 feet. Often, the coax shield provides enough counterpoise, but a dedicated wire helps prevent RF in the shack.

Q: Why does the calculator show harmonic frequencies?

A: The beauty of the EFHW is that it resonates on integer multiples of the fundamental frequency. A 7 MHz antenna works on 14, 21, and 28 MHz naturally.

Q: Does wire gauge affect length?

A: Slightly. Thicker wire has a wider bandwidth and slightly different velocity factor, but for standard HF wire sizes (12-18 AWG), the effect is minimal compared to insulation type.

Q: What happens if I cut the wire too short?

A: It is much harder to add wire than to cut it. If you cut it too short, the resonant frequency will be too high. You can solder a pigtail extension or use a “capacity hat” tail to lower the frequency.

Q: Is an EFHW better than a Dipole?

A: “Better” is subjective. Dipoles are balanced and often quieter. EFHWs are more convenient to feed (end-fed) and offer multi-band performance without trap coils or fan elements.

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