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  1. Short Matching Stub (1/4 Wave)

    Short Matching Stub (1/4 Wave): J-Pole Antenna Calculator

    Length of the short matching stub in feet; multiply by 12 for inches or 30.48 for cm.

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Results

Long Element (3¾λ radiator)
1.523 ft
18.27 in / 46.41 cm
Element Feet Inches cm
Long element (radiator) 1.523 18.27 46.41
Short stub (matching) 0.508 6.09 15.47

What is a J-Pole Antenna?

The J-pole is a popular end-fed, half-wave antenna for amateur (ham) radio and VHF/UHF use. It needs no radials or ground plane and is simple to build from copper pipe, ladder line, or twin-lead. The design consists of a long radiating element (about three-quarters of a wavelength) and a short parallel matching stub (about one-quarter wavelength) that together form a J shape and provide a convenient 50-ohm feed point.

Flat diagram of a J-pole antenna showing long radiator, short matching stub, feedpoint and shorting bar
Anatomy of a J-pole antenna: long 3/4-wave radiator alongside a 1/4-wave matching stub.

How to Use This Calculator

Enter your operating frequency in megahertz (MHz) and the velocity factor of your conductor. For solid bare copper pipe a velocity factor near 0.95 is typical; for insulated wire or ladder line it may be lower (0.80–0.90). The calculator returns the long element and matching stub lengths in feet, inches, and centimeters. Build slightly long and trim for lowest SWR.

The Formula Explained

The classic half-wave dipole approximation gives a quarter wavelength in feet as 234/f(MHz). The J-pole long element is roughly 3λ/4, so we use 234/f, while the matching stub is λ/4, giving 78/f. Both are multiplied by the velocity factor (VF) to account for the wave traveling slightly slower in the conductor:

$$L_{\text{long}} = \frac{234}{\text{Frequency (MHz)}} \times \text{Velocity Factor} \quad\text{(feet)}$$

and

$$L_{\text{stub}} = \frac{78}{\text{Frequency (MHz)}} \times \text{Velocity Factor} \quad\text{(feet)}$$

.

Diagram relating frequency to element lengths via the 234 and 78 constants
The 3/4-wave radiator and 1/4-wave stub lengths scale inversely with frequency.

Worked Example

For the 2-meter band at 146 MHz with VF = 0.95: long element =

$$L_{\text{long}} = \frac{234}{146} \times 0.95 = 1.603 \times 0.95 \approx 1.523 \text{ ft (about 18.3 in)}$$

The stub =

$$L_{\text{stub}} = \frac{78}{146} \times 0.95 = 0.534 \times 0.95 \approx 0.5075 \text{ ft (about 6.1 in)}$$

Cut a bit long and trim while watching your SWR meter.

FAQ

What velocity factor should I use? Bare copper pipe: ~0.95. Insulated wire/ladder line: ~0.80–0.90. When unsure, start at 0.95 and trim.

Why build slightly long? You can always trim metal off to raise the resonant frequency, but you cannot easily add it back. Start long and shorten in small steps.

Where does the coax connect? The feed point is a small distance up the matching stub (often 1–3 inches above the bottom shorting bar). Slide the connection to fine-tune SWR.

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