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K-FACTOR Chart & Table
A useful Chart & Table to help antenna builders determine acurate
Element Length Adjustments for various diameter tube sizes
without all the mathwork normally involved.
I apologize ahead of time for the extreme WIDTH of this page
but it's necessary to have an easy to read and printable table.
Due to the low number of hits on this particular page, rather than
spending the time necessary rebuilding the Table into an XHTML
table format, which would widen it even further than it already
is, I will maintain its original ASCII format and layout that
can be printed out in landscape mode on a single sheet of paper.
K-FACTOR Chart & Table for
Element Length Adjustments.
Fellow Antenna Designers
I have received many requests for the formula to determine the K-Factor used as
a multiplier when constructing half-wave antennas. Although this formula is
located in several ARRL publications, usage of same has not been defined very
clearly in any of the publications.
Because of the unwieldy size of the numbers involved, and the complexities
of determining whether you have arrived at the correct answer, I felt a simple
easy to read chart, showing the ratio numbers would be more beneficial and
versatile than simply giving you the actual K-Factor multiplier which would
then need to be adjusted for your particular antenna design.
The following chart must be viewed with your word wrap turned off or
downloaded as a text file and viewed on a simple non-word wrapping text
reader like the Windows Notepad program.
The numbers used in the calculations for the diameter of the inch sizes
shown below were the exact decimal OD measurments converted to meters
as required by the equation used.
The MHz increments selected were approximately the center of each portion of
each band in common usage. For example, if you have designed your
antenna for the voice portion of the 20 meter band the number across
from the 14.29 MHz increment and down from the pipe diameter selected
should be utilized to determine the ratio to apply to your K-Factor chart.
For those of you who do not have access to a K-Factor Chart, following the
ratio chart will be a text version of the K-Factor.
THIS CHART SHOWS THE RATIO OF FREE SPACE WAVELENGTH TO CONDUCTOR DIAMETER FOR USE WITH STANDARD K-FACTOR MULTIPLIER TABLES TO DETERMINE THE K MULTIPLIER IN ANTENNA DESIGN OF RESONANT HALF-WAVE ANTENNAS. PipeSize 3/16 1/4 5/16 3/8 7/16 1/2 5/8 3/4 7/8 1 1-1/8 1-1/4 1-3/8 1-1/2 1-5/8 1-3/4 1-7/8 2 2-1/4 2-1/2 2-3/4 3 3-1/2 4 6 12 24 MHz 1.90 33263 24921 19949 16562 14196 12431 9950 8294 7111 6223 5526 4975 4523 4147 3828 3555 3317 3110 2765 2489 2262 2073 1777 1555 1037 518 259 3.64 17347 12997 10404 8637 7403 6483 5189 4325 3708 3245 2882 2594 2359 2163 1997 1854 1730 1622 1442 1298 1180 1081 927 811 541 270 135 3.70 17069 12789 10237 8499 7285 6379 5106 4256 3649 3193 2836 2553 2321 2128 1965 1824 1702 1596 1419 1277 1161 1064 912 798 532 266 133 3.93 16072 12041 9639 8002 6859 6006 4807 4007 3436 3007 2670 2404 2186 2004 1850 1718 1602 1502 1336 1202 1093 1002 859 751 501 250 125 7.09 8907 6674 5342 4435 3801 3329 2664 2221 1904 1666 1480 1332 1211 1110 1025 952 888 833 740 666 606 555 476 416 278 139 69 7.13 8865 6642 5317 4414 3783 3313 2652 2210 1895 1659 1473 1326 1206 1105 1020 948 884 829 737 663 603 553 474 415 276 138 69 7.26 8699 6517 5217 4331 3712 3251 2602 2169 1860 1627 1445 1301 1183 1085 1001 930 867 813 723 651 591 542 465 407 271 136 68 10.13 6238 4674 3741 3106 2662 2331 1866 1555 1333 1167 1036 933 848 778 718 667 622 583 518 467 424 389 333 292 194 97 49 14.09 4482 3358 2688 2232 1913 1675 1341 1118 958 839 745 670 610 559 516 479 447 419 373 335 305 279 239 210 140 70 35 14.29 4419 3311 2650 2200 1886 1651 1322 1102 945 827 734 661 601 551 509 472 441 413 367 331 300 275 236 207 138 69 34 18.08 3493 2617 2095 1739 1491 1305 1045 871 747 653 580 522 475 435 402 373 348 327 290 261 237 218 187 163 109 54 27 18.14 3482 2609 2088 1734 1486 1301 1042 868 744 651 579 521 474 434 401 372 347 326 289 261 237 217 186 163 109 54 27 21.11 2992 2241 1794 1490 1277 1118 895 746 640 560 497 447 407 373 344 320 298 280 249 224 203 186 160 140 93 47 23 21.15 2985 2237 1790 1486 1274 1116 893 744 638 558 496 446 406 372 344 319 298 279 248 223 203 186 159 140 93 47 23 21.38 2954 2213 1771 1471 1261 1104 884 736 631 553 491 442 402 368 340 316 295 276 245 221 201 184 158 138 92 46 23 24.91 2535 1899 1520 1262 1082 947 758 632 542 474 421 379 345 316 292 271 253 237 211 190 172 158 135 119 79 40 20 24.96 2531 1896 1518 1260 1080 946 757 631 541 473 420 378 344 315 291 270 252 237 210 189 172 158 135 118 79 39 20 28.15 2244 1681 1346 1117 958 839 671 560 480 420 373 336 305 280 258 240 224 210 187 168 153 140 120 105 70 35 17 28.20 2240 1678 1343 1115 956 837 670 559 479 419 372 335 305 279 258 239 223 209 186 168 152 140 120 105 70 35 17 28.40 2223 1666 1333 1107 949 831 665 554 475 416 369 332 302 277 256 238 222 208 185 166 151 139 119 104 69 35 17 29.10 2171 1626 1302 1081 926 811 649 541 464 406 361 325 295 271 250 232 216 203 180 162 148 135 116 101 68 34 17 50.05 1262 945 757 628 539 472 377 315 270 236 210 189 172 157 145 135 126 118 105 94 86 79 67 59 39 20 10 51.05 1237 927 742 616 528 462 370 309 264 231 206 185 168 154 142 132 123 116 103 93 84 77 66 58 39 19 10 52.00 1215 910 728 605 518 454 363 303 260 227 202 182 165 151 140 130 121 114 101 91 83 76 65 57 38 19 9 53.00 1192 893 715 593 509 445 356 297 255 223 198 178 162 149 137 127 119 111 99 89 81 74 64 56 37 19 9 144.05 439 329 263 218 187 164 131 109 94 82 73 66 60 55 50 47 44 41 36 33 30 27 23 21 14 7 3 145.00 436 326 261 217 186 163 130 109 93 81 72 65 59 54 50 47 43 41 36 33 30 27 23 20 14 7 3 146.00 433 324 259 215 185 162 129 108 92 81 72 65 59 54 50 46 43 40 36 32 29 27 23 20 13 7 3 147.00 430 322 258 214 183 161 129 107 92 80 71 64 58 54 49 46 43 40 36 32 29 27 23 20 13 7 3 223.00 283 212 170 141 121 106 85 71 61 53 47 42 39 35 33 30 28 26 24 21 19 18 15 13 9 4 2 224.00 282 211 169 140 120 105 84 70 60 53 47 42 38 35 32 30 28 26 23 21 19 18 15 13 9 4 2 445.00 142 106 85 71 61 53 42 35 30 27 24 21 19 18 16 15 14 13 12 11 10 9 8 7 4 2 1 916.00 69 52 41 34 29 26 21 17 15 13 11 10 9 9 8 7 7 6 6 5 5 4 4 3 2 1 1 1275.0 49 37 30 25 21 18 15 12 11 9 8 7 7 6 6 5 5 5 4 4 3 3 3 2 2 1 0
THE FOLLOWING IS A TEXT VERSION OF THE K-FACTOR CHART
Please realize that the K-Factor chart is a sine wave and that the numbers
given are merely points along this curve, as close as I could estimate
by visual observation of the graph.
w/dia ratio K-Factor 20 0.925 35 0.940 40 0.945 60 0.950 80 0.955 100 0.9575 150 0.960 This value is on a solid point 200 0.964 400 0.967 600 0.969 800 0.971 1000 0.972 1500 0.973 2000 0.974 4000 0.9745 6000 0.975 8000 0.9755 10000 0.976 15000 0.9765 20000 0.977 25000 0.9775 30000 0.978
TTUL - 73+ de Gary - KGØZP
