EA3AIL

Grid square and distance

Convert coordinates to a Maidenhead grid square and work out the distance and bearing between two stations.

Distance—
Bearing—
Reverse bearing—

Coordinates → grid square—

Power and dB

Watts, dBm, dBW and decibel ratios.

dBW—

Difference in dB—
S-units—

Open-wire line

Impedance of a parallel-wire line (ladder line, window line or twin-lead) from the wire diameter and the center-to-center spacing, and the spacing you need for a given impedance.

Air with sparse spacers: 0.95–0.98 · window line: 0.91 · 300 Ω twin-lead: 0.82.
Characteristic impedance—
Clear gap between wires—
Inductance—
Capacitance—
Copper loss—
Electrical λ/4—
Using the same wire and velocity factor as on the left.
Center-to-center spacing—
Clear gap between wires—

Z₀ = 120·VF·acosh(D/d), the exact formula for two round wires. Losses are copper only, with skin and proximity effect; dielectric loss and dirty or wet spacers add to them.

Inductance

Single-layer coils on an air tube, a ferrite rod or a toroid: from turns to µH, or from µH to the turns you need.

From 6 to 40 mm.
0 means close-wound.
Inductance—
Turns—
Winding length—
Wire you need—
Reactance at this frequency—
DC resistance—
Self-resonance (approx.)—

Enameled (magnet) copper wire in a single layer. The calculation uses the exact Nagaoka coefficient with Rosa's round-wire correction. The wire length doesn't include the leads: leave a couple of inches extra.

Pi output filter

For the output of a power stage: the low-pass filter that removes harmonics, or the Pi network that matches the tube or transistor to the antenna. It gives you the capacitors, the air-wound or toroidal coils, and the voltage and current each part has to handle at the power you choose.

Cut-off frequency—
2nd harmonic attenuation—
3rd harmonic attenuation—
Worst SWR in the band—
PartValueStandard valuePeak voltageRMS currentCoil

Use silver mica or NP0/C0G ceramic capacitors rated for at least twice the peak voltage. Toroid turns must be whole: adjust each coil by squeezing or spreading the turns, and check the finished filter with an antenna analyzer.

Band-pass filter

Grounded LC resonators, top-coupled through capacitors, with identical coils: for a receiver front end, to keep two stations at the same site from interfering, or to clean up a QRP transmitter.

Leave it empty to pick one automatically.
About 150 for toroids; 200 to 300 for air-wound coils.
Inductance of each resonator—
Insertion loss—
Attenuation one bandwidth away (below / above)—
Attenuation two bandwidths away—
Worst SWR in the band—
PartValueStandard valuePeak voltageRMS currentCoil

The coupling capacitors are small: use exact values or trimmers, and tune each resonator on its own to the center frequency. Top coupling makes the response a little steeper below the passband than above it; the chart already shows this, coil loss included.

Baluns and ununs

Baluns (unbalanced ↔ balanced) at 1:1, 2:1, 3:1, 4:1, 6:1, 9:1, 49:1 and 64:1 and ununs (unbalanced ↔ unbalanced) at 1:1, 2:1, 3:1, 6:1, 9:1, 49:1 and 64:1, also with the Reisert crossover, on ferrite toroids: the turns, the impedance on each band and, for transformers, the core loss and temperature rise at your power level.

Ratio—
Turns—
Common-mode impedance, lowest in the band—
Primary impedance at the lowest frequency—
Core loss (worst in the band)—
Heat in the core—
Flux density—
Winding capacitance (estimated)—
Wire needed (each conductor)—
Turns that fit in one layer—

A choke needs a high impedance that is mostly resistive: the solid curve is |Z| and the dashed one is the resistive part. Wind the coax in a single layer and keep the input and output ends apart (use a Reisert cross-over halfway if needed). Too many turns raise the winding capacitance and the choke falls off on the higher bands, which is why the automatic setting doesn't always use as many turns as will fit.

Sevick's rule: the primary reactance should be at least 4 times the impedance it sees (50 Ω) on the lowest band. On the higher bands, 49:1 and 64:1 ununs usually need a 100 to 150 pF capacitor (silver mica, 1 kV or more) across the primary to compensate for leakage inductance: adjust it while watching the SWR on 10 m. The flux limit is Amidon's guideline for ferrite (about 150/√f gauss); heating is based on the average power of the mode.

Model: each ferrite's complex permeability (µ' and µ'') comes from Fair-Rite's measured curves, the winding capacitance is fitted to VNA measurements (the Reisert crossover lowers it by 26%) and the temperature rise is worked out from the core's surface area. Ferrite tolerance is ±20%, so always measure the finished balun with an antenna analyzer (or a NanoVNA) before applying power.

AWG copper wire table

Diameter, cross-section and resistance for every AWG (American Wire Gauge) size, plus the resistance at 14 MHz, which is what matters in an antenna, and the closest metric size.

AWG Dia. (mm) Dia. (in) Area (mm²) Ω/km Ω/1000 ft Ω/m at 14 MHz Closest metric mm²
0000 11.68 0.4600 107.2 0.161 0.049 0.027 120
000 10.40 0.4096 85.0 0.203 0.062 0.030 95
00 9.27 0.3648 67.4 0.256 0.078 0.034 70
0 8.25 0.3249 53.5 0.322 0.098 0.038 50
1 7.35 0.2893 42.4 0.407 0.124 0.042 50
2 6.54 0.2576 33.6 0.513 0.156 0.048 35
3 5.83 0.2294 26.7 0.646 0.197 0.053 25
4 5.19 0.2043 21.2 0.815 0.248 0.060 25
5 4.62 0.1819 16.8 1.03 0.313 0.067 16
6 4.12 0.1620 13.3 1.30 0.395 0.076 16
7 3.66 0.1443 10.5 1.63 0.498 0.085 10
8 3.26 0.1285 8.366 2.06 0.628 0.096 10
9 2.91 0.1144 6.634 2.60 0.792 0.108 6
10 2.59 0.1019 5.261 3.28 0.999 0.121 6
11 2.30 0.0907 4.172 4.13 1.26 0.136 4
12 2.05 0.0808 3.309 5.21 1.59 0.153 4
13 1.83 0.0720 2.624 6.57 2.00 0.172 2.5
14 1.63 0.0641 2.081 8.28 2.53 0.193 2.5
15 1.45 0.0571 1.650 10.45 3.18 0.217 1.5
16 1.29 0.0508 1.309 13.17 4.02 0.244 1.5
17 1.15 0.0453 1.038 16.61 5.06 0.275 1
18 1.02 0.0403 0.823 20.95 6.38 0.309 0.75
19 0.912 0.0359 0.653 26.41 8.05 0.348 0.75
20 0.812 0.0320 0.518 33.31 10.15 0.391 0.50
21 0.723 0.0285 0.410 42.00 12.80 0.441 0.34
22 0.644 0.0253 0.326 52.96 16.14 0.496 0.34
23 0.573 0.0226 0.258 66.78 20.35 0.559 0.25
24 0.511 0.0201 0.205 84.21 25.67 0.630 0.25
25 0.455 0.0179 0.162 106 32.37 0.711 0.14
26 0.405 0.0159 0.129 134 40.81 0.802 0.14
27 0.361 0.0142 0.102 169 51.46 0.906 0.08
28 0.321 0.0126 0.0810 213 64.89 1.02 0.08
29 0.286 0.0113 0.0642 268 81.83 1.16 0.08
30 0.255 0.0100 0.0509 339 103 1.31 0.05
31 0.227 0.0089 0.0404 427 130 1.49 0.05
32 0.202 0.0080 0.0320 538 164 1.69 —
33 0.180 0.0071 0.0254 679 207 1.92 —
34 0.160 0.0063 0.0201 856 261 2.18 —
35 0.143 0.0056 0.0160 1,079 329 2.49 —
36 0.127 0.0050 0.0127 1,361 415 2.84 —
37 0.113 0.0045 0.0100 1,716 523 3.26 —
38 0.101 0.0040 0.0080 2,164 660 3.74 —
39 0.090 0.0035 0.0063 2,729 832 4.31 —
40 0.080 0.0031 0.0050 3,441 1,049 4.99 —

Solid annealed copper at 20 °C (68 °F). At 14 MHz the current only flows in the outer 18 µm or so of the wire (skin effect), so the RF resistance is far higher than the DC resistance, and 14 AWG is more than enough for an HF dipole. AWG 10 to 18, the sizes most used in antennas, are highlighted. Every 3 AWG sizes the area halves; every 6, the diameter.

Band plan

IARU Region 1 HF segments with the usual modes.

Propagation
Band Segment Mode Wavelength Half-wave dipole
160 m 1,810 – 1,838 kHz CW 164.36 m 78.89 m Calculate an antenna
1,838 – 1,843 kHz Digital 162.89 m 78.19 m Calculate an antenna
1,843 – 2,000 kHz SSB 156.02 m 74.89 m Calculate an antenna
80 m 3,500 – 3,570 kHz CW 84.81 m 40.71 m Calculate an antenna
3,570 – 3,600 kHz Digital 83.62 m 40.14 m Calculate an antenna
3,600 – 3,800 kHz SSB 81.02 m 38.89 m Calculate an antenna
60 m 5,351.5 – 5,354 kHz CW 56.01 m 26.88 m Calculate an antenna
5,354 – 5,366 kHz SSB 55.93 m 26.85 m Calculate an antenna
40 m 7,000 – 7,040 kHz CW 42.71 m 20.50 m Calculate an antenna
7,040 – 7,060 kHz Digital 42.52 m 20.41 m Calculate an antenna
7,060 – 7,200 kHz SSB 42.05 m 20.18 m Calculate an antenna
30 m 10,100 – 10,130 kHz CW 29.64 m 14.23 m Calculate an antenna
10,130 – 10,150 kHz Digital 29.57 m 14.19 m Calculate an antenna
20 m 14,000 – 14,070 kHz CW 21.36 m 10.25 m Calculate an antenna
14,070 – 14,099 kHz Digital 21.29 m 10.22 m Calculate an antenna
14,101 – 14,350 kHz SSB 21.07 m 10.12 m Calculate an antenna
17 m 18,068 – 18,095 kHz CW 16.58 m 7.96 m Calculate an antenna
18,095 – 18,109 kHz Digital 16.56 m 7.95 m Calculate an antenna
18,111 – 18,168 kHz SSB 16.53 m 7.93 m Calculate an antenna
15 m 21,000 – 21,070 kHz CW 14.25 m 6.84 m Calculate an antenna
21,070 – 21,110 kHz Digital 14.21 m 6.82 m Calculate an antenna
21,151 – 21,450 kHz SSB 14.07 m 6.76 m Calculate an antenna
12 m 24,890 – 24,915 kHz CW 12.04 m 5.78 m Calculate an antenna
24,915 – 24,929 kHz Digital 12.03 m 5.77 m Calculate an antenna
24,931 – 24,990 kHz SSB 12.01 m 5.77 m Calculate an antenna
10 m 28,000 – 28,070 kHz CW 10.69 m 5.13 m Calculate an antenna
28,070 – 28,190 kHz Digital 10.66 m 5.12 m Calculate an antenna
28,225 – 29,700 kHz SSB 10.35 m 4.97 m Calculate an antenna
6 m 50,000 – 50,100 kHz CW 5.99 m 2.88 m Calculate an antenna
50,100 – 50,300 kHz SSB 5.97 m 2.87 m Calculate an antenna
50,300 – 50,400 kHz Digital 5.95 m 2.86 m Calculate an antenna

These results are a good starting point for cutting wire. Real ground, nearby objects and the feedline always shift the resonance a little: cut it a few inches long and trim while measuring with an antenna analyzer.