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Hi All,
Reg asked if I could send my data as an email, so I converted the file to text format to be able to present the data in full here in this msg. I checked to see that the tabular format remained intact, and it did in Outlook Express, so here it is. I hope the tabular format will remain intact in your browsers. Be sure to give your screen maximum width. If it doesn't, let me know and I'll resend in PDF format. I'd like to hear your comments. Walt, W2DU Dipole Terminal Impedance Data Obtained From Measurements at Various Heights Above Ground in the Frequency Range from 14.0 to 15.0 MHz. Measurements Made be W2DU at the W2DU site in DeLand, Florida. 081883z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 0 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 32.24 82.000 .7129 5.97 .8361 11.203 471.51 249.55 14.050 34.51 85.410 .7122 5.95 .8355 11.162 472.73 246.63 14.100 37.29 89.720 .7130 5.97 .8367 11.246 492.08 236.91 14.150 40.17 93.780 .7133 5.98 .8372 11.287 499.53 233.27 14.200 43.26 98.590 .7161 6.04 .8408 11.562 519.29 232.53 14.250 47.28 101.890 .7108 5.91 .8348 11.104 500.18 221.92 14.300 50.16 106.640 .7158 6.04 .8410 11.575 507.65 243.02 14.350 54.38 111.640 .7175 6.08 .8432 11.752 514.89 247.15 14.400 60.56 117.710 .7177 6.09 .8437 11.793 538.46 229.17 14.450 66.85 122.840 .7167 6.06 .8427 11.717 540.01 222.81 14.500 74.16 127.930 .7152 6.02 .8411 11.590 539.31 215.08 14.550 82.61 137.040 .7235 6.23 .8511 12.435 592.76 215.22 14.600 92.70 139.380 .7148 6.01 .8412 11.595 554.28 198.71 14.650 105.06 144.030 .7121 5.95 .8383 11.366 554.30 180.74 14.700 117.42 149.660 .7143 6.00 .8410 11.580 563.86 185.38 14.750 131.84 152.680 .7125 5.96 .8392 11.437 556.91 183.08 14.800 149.35 155.540 .7126 5.96 .8395 11.462 562.13 177.94 14.850 168.92 155.220 .7110 5.92 .8378 11.333 559.18 171.07 14.900 191.58 150.340 .7077 5.84 .8342 11.065 553.87 154.78 14.950 217.85 144.480 .7096 5.89 .8366 11.242 569.11 146.40 15.000 244.11 130.130 .7083 5.86 .8353 11.144 570.70 132.61 081683z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 1 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 56.65 41.790 .3540 2.10 .4152 2.420 126.17 21.64 14.050 57.78 43.490 .3640 2.14 .4270 2.490 129.06 24.11 14.100 57.89 44.820 .3732 2.19 .4380 2.559 130.13 29.60 14.150 59.43 46.140 .3794 2.22 .4453 2.606 131.77 31.51 14.200 60.56 47.750 .3883 2.27 .4560 2.676 133.64 35.13 14.250 61.80 49.260 .3963 2.31 .4655 2.742 135.02 38.76 14.300 63.45 50.770 .4036 2.35 .4741 2.803 136.53 41.73 14.350 65.20 52.400 .4115 2.40 .4836 2.873 138.13 45.04 14.400 66.95 54.380 .4215 2.46 .4955 2.964 140.14 49.29 14.450 69.53 56.120 .4292 2.50 .5046 3.037 142.41 51.88 14.500 71.89 57.380 .4344 2.54 .5109 3.089 142.99 54.70 14.550 74.37 62.060 .4581 2.69 .5389 3.338 149.79 63.78 14.600 77.77 63.840 .4652 2.74 .5475 3.420 151.82 66.84 14.650 81.37 66.420 .4764 2.82 .5608 3.554 154.95 71.86 14.700 85.49 68.030 .4830 2.87 .5687 3.637 156.79 75.00 14.750 90.33 69.490 .4895 2.92 .5765 3.723 159.23 77.78 14.800 94.97 71.080 .4970 2.98 .5856 3.826 160.68 82.03 14.850 100.94 72.460 .5047 3.04 .5948 3.936 163.76 85.54 14.900 109.18 73.830 .5146 3.12 .6066 4.084 170.44 88.74 14.950 114.33 73.580 .5179 3.15 .6107 4.137 168.91 92.16 15.000 121.54 73.330 .5240 3.20 .6180 4.236 170.74 95.74 081183z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 2 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 75.81 28.790 .2716 1.75 .3186 1.935 99.53 -18.85 14.050 74.98 28.610 .2685 1.73 .3150 1.920 100.61 -14.90 14.100 74.16 28.720 .2672 1.73 .3135 1.913 101.73 -10.81 14.150 73.85 29.050 .2684 1.73 .3150 1.920 102.94 -7.36 14.200 73.13 29.650 .2703 1.74 .3174 1.930 104.10 -2.96 14.250 72.31 30.810 .2757 1.76 .3238 1.958 105.65 2.12 14.300 72.20 31.400 .2791 1.77 .3279 1.976 106.24 5.88 14.350 72.20 32.610 .2865 1.80 .3367 2.015 107.55 10.11 14.400 73.13 34.240 .2979 1.85 .3502 2.078 110.01 13.54 14.450 74.16 35.500 .3070 1.89 .3609 2.130 111.73 16.80 14.500 74.47 37.100 .3169 1.93 .3727 2.188 112.78 21.77 14.550 75.81 38.690 .3279 1.98 .3857 2.256 114.62 25.56 14.600 77.25 39.790 .3360 2.01 .3954 2.308 115.59 28.88 14.650 79.00 41.910 .3500 2.08 .4119 2.401 117.83 33.57 14.700 80.86 42.860 .3574 2.11 .4209 2.453 118.47 36.77 14.750 83.43 44.810 .3709 2.18 .4368 2.551 120.78 41.13 14.800 86.00 46.350 .3819 2.24 .4499 2.636 122.18 45.27 14.850 88.89 47.810 .3928 2.29 .4629 2.724 123.50 49.44 14.900 92.70 48.990 .4037 2.35 .4758 2.815 125.59 53.04 14.950 96.51 50.170 .4145 2.42 .4887 2.912 127.08 57.19 15.000 100.94 51.330 .4261 2.49 .5026 3.021 128.90 61.64 082483z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 3 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 88.79 23.290 .2894 1.81 .3394 2.027 89.27 -35.58 14.050 87.65 21.710 .2794 1.78 .3278 1.975 89.92 -32.38 14.100 86.00 20.640 .2691 1.74 .3158 1.923 90.82 -28.58 14.150 84.46 20.000 .2605 1.70 .3057 1.881 91.78 -24.84 14.200 82.40 19.790 .2511 1.67 .2949 1.836 92.70 -20.22 14.250 81.37 19.930 .2474 1.66 .2906 1.819 93.89 -16.72 14.300 80.34 20.350 .2450 1.65 .2878 1.808 95.07 -12.95 14.350 79.52 20.910 .2441 1.65 .2869 1.805 96.17 -9.20 14.400 78.49 21.670 .2436 1.64 .2863 1.802 96.97 -4.90 14.450 78.28 22.700 .2477 1.66 .2912 1.822 98.34 -1.26 14.500 78.18 23.720 .2522 1.67 .2966 1.844 99.47 2.43 14.550 78.28 25.020 .2590 1.70 .3047 1.876 100.76 6.37 14.600 78.38 26.580 .2671 1.73 .3143 1.917 101.93 10.81 14.650 79.31 28.120 .2777 1.77 .3269 1.971 103.65 14.60 14.700 80.34 29.860 .2893 1.81 .3407 2.033 105.29 18.84 14.750 82.09 31.190 .3006 1.86 .3541 2.096 107.15 22.20 14.800 83.43 33.180 .3137 1.91 .3696 2.172 108.53 27.11 14.850 85.49 33.870 .3222 1.95 .3797 2.224 109.60 29.92 14.900 87.55 35.230 .3335 2.00 .3931 2.296 110.71 33.99 14.950 90.13 36.660 .3461 2.06 .4081 2.379 112.12 38.22 15.000 92.70 38.000 .3579 2.11 .4221 2.461 112.92 42.62 082483z2.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 4 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 96.61 20.140 .3102 1.90 .3638 2.143 83.63 -43.32 14.050 94.55 17.650 .2956 1.84 .3468 2.062 84.18 -39.69 14.100 92.19 16.030 .2816 1.78 .3305 1.987 85.13 -35.85 14.150 89.10 14.980 .2652 1.72 .3113 1.904 86.08 -31.09 14.200 87.04 14.370 .2541 1.68 .2984 1.851 87.01 -27.34 14.250 84.87 14.180 .2434 1.64 .2858 1.800 87.89 -23.24 14.300 82.50 14.340 .2325 1.61 .2731 1.751 88.55 -18.64 14.350 81.37 14.980 .2291 1.59 .2692 1.737 89.89 -15.13 14.400 80.24 15.830 .2267 1.59 .2665 1.727 91.10 -11.30 14.450 78.69 16.540 .2222 1.57 .2613 1.708 91.40 -6.94 14.500 78.28 17.720 .2252 1.58 .2649 1.721 92.73 -3.34 14.550 77.87 19.180 .2298 1.60 .2703 1.741 94.00 0.73 14.600 77.77 20.550 .2356 1.62 .2773 1.767 95.10 4.59 14.650 78.07 22.050 .2438 1.64 .2870 1.805 96.40 8.40 14.700 78.59 23.880 .2544 1.68 .2996 1.855 97.87 12.64 14.750 79.52 25.420 .2650 1.72 .3121 1.907 99.20 16.42 14.800 80.44 27.090 .2760 1.76 .3252 1.964 100.21 20.59 14.850 81.89 28.890 .2890 1.81 .3406 2.033 101.57 24.82 14.900 83.43 30.540 .3013 1.86 .3551 2.101 102.50 29.02 14.950 86.01 32.110 .3156 1.92 .3722 2.185 104.42 32.92 15.000 88.07 33.530 .3275 1.97 .3862 2.258 105.04 37.05 080283z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 5 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 103.00 18.640 .3316 1.99 .3889 2.273 80.23 -48.99 14.050 99.39 15.580 .3113 1.90 .3652 2.150 81.17 -44.27 14.100 96.31 12.980 .2933 1.83 .3442 2.050 81.61 -40.08 14.150 94.25 11.450 .2814 1.78 .3303 1.987 82.47 -37.03 14.200 90.13 10.560 .2605 1.70 .3058 1.881 83.25 -31.62 14.250 87.65 10.035 .2473 1.66 .2904 1.819 83.99 -27.78 14.300 85.49 10.210 .2367 1.62 .2781 1.770 85.09 -23.94 14.350 83.43 10.660 .2271 1.59 .2668 1.728 86.07 -19.93 14.400 81.37 11.460 .2184 1.56 .2567 1.691 86.91 -15.54 14.450 80.34 12.460 .2160 1.55 .2539 1.681 88.21 -11.97 14.500 78.80 13.860 .2128 1.54 .2502 1.668 89.10 -7.34 14.550 78.18 15.260 .2149 1.55 .2528 1.677 90.33 -3.47 14.600 77.77 16.640 .2185 1.56 .2571 1.692 91.37 0.37 14.650 77.46 18.290 .2241 1.58 .2638 1.717 92.36 4.58 14.700 77.56 19.930 .2319 1.60 .2731 1.751 93.38 8.61 14.750 78.04 21.660 .2418 1.64 .2848 1.796 94.54 12.63 14.800 78.80 23.310 .2524 1.68 .2974 1.846 95.59 16.54 14.850 79.83 25.260 .2653 1.72 .3126 1.909 96.74 20.89 14.900 80.86 27.110 .2774 1.77 .3270 1.972 97.36 25.27 14.950 82.92 28.760 .2915 1.82 .3437 2.047 98.86 29.13 15.000 85.18 30.530 .3063 1.88 .3612 2.131 100.20 33.36 082483z3.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 8 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 109.70 13.860 .3494 2.07 .4098 2.388 74.16 -53.16 14.050 105.60 9.890 .3286 1.98 .3854 2.254 74.80 -48.85 14.100 101.04 6.950 .3064 1.88 .3595 2.123 75.46 -44.26 14.150 97.34 5.020 .2881 1.81 .3382 2.022 76.16 -40.42 14.200 93.73 3.870 .2701 1.74 .3172 1.929 76.93 -36.50 14.250 89.25 3.750 .2474 1.66 .2905 1.819 77.81 -31.35 14.300 86.83 3.500 .2344 1.61 .2753 1.760 78.50 -28.11 14.350 84.46 4.080 .2219 1.57 .2607 1.705 79.62 -24.45 14.400 81.89 5.190 .2086 1.53 .2452 1.650 80.67 -20.09 14.450 80.03 6.370 .1997 1.50 .2348 1.614 81.72 -16.17 14.500 78.28 7.790 .1924 1.48 .2263 1.585 82.63 -11.99 14.550 77.15 9.450 .1902 1.47 .2237 1.576 83.84 -7.98 14.600 76.22 11.160 .1902 1.47 .2239 1.577 84.85 -3.91 14.650 75.71 13.040 .1943 1.48 .2287 1.593 86.02 0.18 14.700 75.71 15.170 .2028 1.51 .2388 1.627 87.53 4.36 14.750 75.71 17.080 .2111 1.54 .2487 1.662 88.46 8.49 14.800 76.22 18.990 .2221 1.57 .2617 1.709 89.60 12.46 14.850 76.74 20.610 .2319 1.60 .2732 1.752 90.18 16.20 14.900 78.07 23.020 .2484 1.66 .2928 1.828 91.79 20.78 14.950 79.31 25.150 .2630 1.71 .3101 1.899 92.65 25.21 15.000 80.86 27.330 .2785 1.77 .3284 1.978 93.42 29.76 072083z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 10 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 106.61 9.286 .3321 1.99 .3894 2.276 71.35 -49.54 14.050 102.18 5.872 .3105 1.90 .3643 2.146 71.88 -45.34 14.100 96.92 3.546 .2853 1.80 .3348 2.007 72.47 -40.43 14.150 92.70 2.544 .2643 1.72 .3103 1.900 73.40 -36.23 14.200 88.58 2.113 .2430 1.64 .2853 1.798 74.16 -31.82 14.250 84.98 2.421 .2235 1.58 .2625 1.712 75.07 -27.50 14.300 81.89 3.007 .2063 1.52 .2424 1.640 75.84 -23.36 14.350 79.10 4.390 .1914 1.47 .2249 1.580 76.99 -18.90 14.400 76.74 5.868 .1794 1.44 .2109 1.535 77.93 -14.52 14.450 75.19 7.682 .1742 1.42 .2048 1.515 79.31 -10.46 14.500 73.64 9.655 .1710 1.41 .2011 1.503 80.38 -6.01 14.550 72.20 11.821 .1712 1.41 .2014 1.505 81.21 -1.25 14.600 71.59 14.110 .1784 1.43 .2099 1.531 82.49 3.13 14.650 71.59 16.246 .1891 1.47 .2225 1.572 83.91 7.06 14.700 71.59 18.299 .2000 1.50 .2355 1.616 84.86 11.11 14.750 72.10 20.678 .2151 1.55 .2533 1.678 86.26 15.38 14.800 72.82 23.176 .2316 1.60 .2728 1.750 87.54 19.89 14.850 74.16 25.589 .2493 1.66 .2937 1.832 89.11 24.18 14.900 75.40 27.718 .2646 1.72 .3119 1.907 89.94 28.31 14.950 76.53 30.435 .2825 1.79 .3331 1.999 90.30 33.42 15.000 78.28 32.533 .2980 1.85 .3515 2.084 90.79 37.55 082883z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 12 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 117.42 12.430 .3760 2.21 .4410 2.578 70.77 -58.39 14.050 113.09 7.150 .3559 2.11 .4175 2.434 71.15 -54.32 14.100 108.15 3.300 .3345 2.01 .3925 2.292 71.74 -50.08 14.150 103.00 0.600 .3121 1.91 .3664 2.156 72.35 -45.67 14.200 98.37 -0.951 .2913 1.82 .3420 2.039 73.09 -41.55 14.250 93.94 -1.660 .2702 1.74 .3173 1.930 73.85 -37.31 14.300 90.13 -1.820 .2510 1.67 .2948 1.836 74.58 -33.32 14.350 86.52 -1.460 .2316 1.60 .2722 1.748 75.24 -29.15 14.400 83.43 -0.521 .2142 1.55 .2518 1.673 76.08 -24.99 14.450 80.65 0.450 .1979 1.49 .2327 1.607 76.58 -20.92 14.500 78.28 1.930 .1841 1.45 .2165 1.553 77.28 -16.71 14.550 76.43 3.770 .1743 1.42 .2051 1.516 78.21 -12.47 14.600 75.19 5.820 .1699 1.41 .2000 1.500 79.39 -8.34 14.650 74.16 7.710 .1681 1.40 .1979 1.493 80.22 -4.32 14.700 73.13 10.070 .1695 1.41 .1996 1.499 80.93 0.35 14.750 72.62 12.240 .1752 1.42 .2063 1.520 81.61 4.61 14.800 72.62 14.530 .1853 1.45 .2183 1.559 82.53 8.85 14.850 72.62 16.840 .1965 1.49 .2316 1.603 82.99 13.25 14.900 73.13 19.730 .2136 1.54 .2518 1.673 83.87 18.28 14.950 74.16 21.070 .2245 1.58 .2647 1.720 84.42 21.19 15.000 75.91 24.930 .2509 1.67 .2959 1.841 86.13 27.44 071983z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 14 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 112.27 14.571 .3599 2.12 .4220 2.460 73.92 -55.35 14.050 108.15 9.751 .3387 2.02 .3973 2.319 74.20 -50.96 14.100 103.52 6.489 .3168 1.93 .3717 2.183 74.86 -46.45 14.150 98.78 2.831 .2936 1.83 .3447 2.052 74.19 -41.86 14.200 94.76 2.831 .2746 1.76 .3224 1.952 76.08 -37.67 14.250 90.64 2.470 .2539 1.68 .2981 1.850 76.93 -33.10 14.300 87.55 2.587 .2377 1.62 .2792 1.775 77.87 -29.20 14.350 84.25 3.171 .2200 1.56 .2585 1.697 78.60 -24.71 14.400 81.37 4.201 .2045 1.51 .2403 1.633 79.36 -20.19 14.450 79.31 5.723 .1945 1.48 .2287 1.593 80.57 -15.94 14.500 77.25 7.379 .1856 1.46 .2182 1.558 81.39 -11.36 14.550 76.01 9.141 .1829 1.45 .2152 1.548 82.50 -7.24 14.600 74.68 11.233 .1822 1.45 .2144 1.546 83.34 -2.51 14.650 74.26 13.515 .1889 1.47 .2223 1.572 84.80 1.86 14.700 74.16 15.646 .1977 1.49 .2327 1.607 86.06 6.06 14.750 74.16 18.441 .2110 1.53 .2485 1.661 87.43 11.21 14.800 74.37 20.068 .2201 1.56 .2592 1.700 87.82 14.93 14.850 74.68 22.357 .2332 1.61 .2748 1.758 88.28 19.54 14.900 76.12 24.631 .2500 1.67 .2946 1.835 89.76 23.76 14.950 77.25 27.023 .2660 1.72 .3137 1.914 90.35 28.43 15.000 78.38 29.667 .2830 1.79 .3338 2.002 90.42 33.51 082883z2.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 16 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 118.97 16.210 .3854 2.25 .4520 2.650 72.84 -60.71 14.050 114.85 10.320 .3648 2.15 .4280 2.497 73.13 -56.36 14.100 109.70 5.500 .3417 2.04 .4010 2.339 73.36 -51.59 14.150 105.06 2.380 .3213 1.95 .3772 2.211 73.88 -47.45 14.200 100.73 0.296 .3020 1.87 .3546 2.099 74.47 -43.53 14.250 95.48 -1.095 .2776 1.77 .3260 1.967 74.73 -38.60 14.300 91.67 -1.434 .2588 1.70 .3040 1.874 75.47 -34.63 14.350 88.07 -1.150 .2399 1.63 .2820 1.785 76.24 -30.46 14.400 85.28 -0.556 .2246 1.58 .2640 1.717 77.09 -26.73 14.450 82.40 0.346 .2082 1.53 .2448 1.648 77.65 -22.58 14.500 78.80 2.170 .1874 1.46 .2204 1.566 77.90 -16.98 14.550 77.25 3.940 .1796 1.44 .2113 1.536 79.07 -13.02 14.600 75.40 6.030 .1716 1.41 .2020 1.506 79.76 -8.30 14.650 74.26 8.120 .1698 1.41 .1999 1.500 80.63 -3.97 14.675 73.95 9.270 .1715 1.41 .2019 1.506 81.25 -1.81 14.700 73.13 10.480 .1710 1.41 .2013 1.504 81.21 0.82 14.750 72.51 12.810 .1770 1.43 .2085 1.527 81.83 5.36 14.800 72.51 15.140 .1877 1.46 .2211 1.568 82.72 9.67 14.850 72.51 16.770 .1957 1.49 .2306 1.600 82.82 13.21 14.900 73.13 19.500 .2124 1.54 .2503 1.668 83.78 17.98 14.950 74.16 23.010 .2349 1.61 .2770 1.766 84.97 23.80 15.000 75.40 26.200 .2562 1.69 .3022 1.866 85.67 29.27 071783z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 22 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 123.60 23.710 .4104 2.39 .4813 2.856 75.90 -66.80 14.050 120.51 15.800 .3901 2.28 .4577 2.688 75.51 -62.12 14.100 117.42 10.990 .3747 2.20 .4397 2.570 76.32 -58.76 14.150 112.27 6.042 .3521 2.09 .4133 2.409 76.52 -53.83 14.200 108.15 2.460 .3343 2.00 .3925 2.292 76.73 -50.01 14.250 103.00 0.281 .3121 1.91 .3666 2.157 77.29 -45.27 14.300 98.37 -1.119 .2913 1.82 .3422 2.040 77.70 -40.79 14.400 90.13 -1.701 .2509 1.67 .2949 1.837 78.53 -31.85 14.500 84.98 -0.345 .2229 1.57 .2621 1.711 80.19 -24.33 14.600 80.03 2.843 .1953 1.49 .2298 1.597 81.48 -15.04 14.700 77.25 6.803 .1843 1.45 .2170 1.554 83.16 -6.11 14.750 76.22 9.966 .1865 1.46 .2196 1.563 84.39 -0.33 14.800 75.91 11.486 .1897 1.47 .2235 1.576 84.87 3.29 14.850 76.22 14.141 .2011 1.50 .2369 1.621 86.30 8.09 14.900 76.22 16.640 .2115 1.54 .2493 1.664 86.73 13.02 14.950 76.74 19.197 .2252 1.58 .2655 1.723 87.30 17.92 15.000 78.28 21.400 .2415 1.64 .2849 1.797 88.62 22.18 Dipole Terminal Impedance Data Obtained From Measurements at Various Heights Above Ground in the Frequency Range from 14.0 to 15.0 MHz. Measurements Made be W2DU at the W2DU site in DeLand, Florida. 081883z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 0 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 32.24 82.000 .7129 5.97 .8361 11.203 471.51 249.55 14.050 34.51 85.410 .7122 5.95 .8355 11.162 472.73 246.63 14.100 37.29 89.720 .7130 5.97 .8367 11.246 492.08 236.91 14.150 40.17 93.780 .7133 5.98 .8372 11.287 499.53 233.27 14.200 43.26 98.590 .7161 6.04 .8408 11.562 519.29 232.53 14.250 47.28 101.890 .7108 5.91 .8348 11.104 500.18 221.92 14.300 50.16 106.640 .7158 6.04 .8410 11.575 507.65 243.02 14.350 54.38 111.640 .7175 6.08 .8432 11.752 514.89 247.15 14.400 60.56 117.710 .7177 6.09 .8437 11.793 538.46 229.17 14.450 66.85 122.840 .7167 6.06 .8427 11.717 540.01 222.81 14.500 74.16 127.930 .7152 6.02 .8411 11.590 539.31 215.08 14.550 82.61 137.040 .7235 6.23 .8511 12.435 592.76 215.22 14.600 92.70 139.380 .7148 6.01 .8412 11.595 554.28 198.71 14.650 105.06 144.030 .7121 5.95 .8383 11.366 554.30 180.74 14.700 117.42 149.660 .7143 6.00 .8410 11.580 563.86 185.38 14.750 131.84 152.680 .7125 5.96 .8392 11.437 556.91 183.08 14.800 149.35 155.540 .7126 5.96 .8395 11.462 562.13 177.94 14.850 168.92 155.220 .7110 5.92 .8378 11.333 559.18 171.07 14.900 191.58 150.340 .7077 5.84 .8342 11.065 553.87 154.78 14.950 217.85 144.480 .7096 5.89 .8366 11.242 569.11 146.40 15.000 244.11 130.130 .7083 5.86 .8353 11.144 570.70 132.61 081683z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 1 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 56.65 41.790 .3540 2.10 .4152 2.420 126.17 21.64 14.050 57.78 43.490 .3640 2.14 .4270 2.490 129.06 24.11 14.100 57.89 44.820 .3732 2.19 .4380 2.559 130.13 29.60 14.150 59.43 46.140 .3794 2.22 .4453 2.606 131.77 31.51 14.200 60.56 47.750 .3883 2.27 .4560 2.676 133.64 35.13 14.250 61.80 49.260 .3963 2.31 .4655 2.742 135.02 38.76 14.300 63.45 50.770 .4036 2.35 .4741 2.803 136.53 41.73 14.350 65.20 52.400 .4115 2.40 .4836 2.873 138.13 45.04 14.400 66.95 54.380 .4215 2.46 .4955 2.964 140.14 49.29 14.450 69.53 56.120 .4292 2.50 .5046 3.037 142.41 51.88 14.500 71.89 57.380 .4344 2.54 .5109 3.089 142.99 54.70 14.550 74.37 62.060 .4581 2.69 .5389 3.338 149.79 63.78 14.600 77.77 63.840 .4652 2.74 .5475 3.420 151.82 66.84 14.650 81.37 66.420 .4764 2.82 .5608 3.554 154.95 71.86 14.700 85.49 68.030 .4830 2.87 .5687 3.637 156.79 75.00 14.750 90.33 69.490 .4895 2.92 .5765 3.723 159.23 77.78 14.800 94.97 71.080 .4970 2.98 .5856 3.826 160.68 82.03 14.850 100.94 72.460 .5047 3.04 .5948 3.936 163.76 85.54 14.900 109.18 73.830 .5146 3.12 .6066 4.084 170.44 88.74 14.950 114.33 73.580 .5179 3.15 .6107 4.137 168.91 92.16 15.000 121.54 73.330 .5240 3.20 .6180 4.236 170.74 95.74 081183z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 2 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 75.81 28.790 .2716 1.75 .3186 1.935 99.53 -18.85 14.050 74.98 28.610 .2685 1.73 .3150 1.920 100.61 -14.90 14.100 74.16 28.720 .2672 1.73 .3135 1.913 101.73 -10.81 14.150 73.85 29.050 .2684 1.73 .3150 1.920 102.94 -7.36 14.200 73.13 29.650 .2703 1.74 .3174 1.930 104.10 -2.96 14.250 72.31 30.810 .2757 1.76 .3238 1.958 105.65 2.12 14.300 72.20 31.400 .2791 1.77 .3279 1.976 106.24 5.88 14.350 72.20 32.610 .2865 1.80 .3367 2.015 107.55 10.11 14.400 73.13 34.240 .2979 1.85 .3502 2.078 110.01 13.54 14.450 74.16 35.500 .3070 1.89 .3609 2.130 111.73 16.80 14.500 74.47 37.100 .3169 1.93 .3727 2.188 112.78 21.77 14.550 75.81 38.690 .3279 1.98 .3857 2.256 114.62 25.56 14.600 77.25 39.790 .3360 2.01 .3954 2.308 115.59 28.88 14.650 79.00 41.910 .3500 2.08 .4119 2.401 117.83 33.57 14.700 80.86 42.860 .3574 2.11 .4209 2.453 118.47 36.77 14.750 83.43 44.810 .3709 2.18 .4368 2.551 120.78 41.13 14.800 86.00 46.350 .3819 2.24 .4499 2.636 122.18 45.27 14.850 88.89 47.810 .3928 2.29 .4629 2.724 123.50 49.44 14.900 92.70 48.990 .4037 2.35 .4758 2.815 125.59 53.04 14.950 96.51 50.170 .4145 2.42 .4887 2.912 127.08 57.19 15.000 100.94 51.330 .4261 2.49 .5026 3.021 128.90 61.64 082483z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 3 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 88.79 23.290 .2894 1.81 .3394 2.027 89.27 -35.58 14.050 87.65 21.710 .2794 1.78 .3278 1.975 89.92 -32.38 14.100 86.00 20.640 .2691 1.74 .3158 1.923 90.82 -28.58 14.150 84.46 20.000 .2605 1.70 .3057 1.881 91.78 -24.84 14.200 82.40 19.790 .2511 1.67 .2949 1.836 92.70 -20.22 14.250 81.37 19.930 .2474 1.66 .2906 1.819 93.89 -16.72 14.300 80.34 20.350 .2450 1.65 .2878 1.808 95.07 -12.95 14.350 79.52 20.910 .2441 1.65 .2869 1.805 96.17 -9.20 14.400 78.49 21.670 .2436 1.64 .2863 1.802 96.97 -4.90 14.450 78.28 22.700 .2477 1.66 .2912 1.822 98.34 -1.26 14.500 78.18 23.720 .2522 1.67 .2966 1.844 99.47 2.43 14.550 78.28 25.020 .2590 1.70 .3047 1.876 100.76 6.37 14.600 78.38 26.580 .2671 1.73 .3143 1.917 101.93 10.81 14.650 79.31 28.120 .2777 1.77 .3269 1.971 103.65 14.60 14.700 80.34 29.860 .2893 1.81 .3407 2.033 105.29 18.84 14.750 82.09 31.190 .3006 1.86 .3541 2.096 107.15 22.20 14.800 83.43 33.180 .3137 1.91 .3696 2.172 108.53 27.11 14.850 85.49 33.870 .3222 1.95 .3797 2.224 109.60 29.92 14.900 87.55 35.230 .3335 2.00 .3931 2.296 110.71 33.99 14.950 90.13 36.660 .3461 2.06 .4081 2.379 112.12 38.22 15.000 92.70 38.000 .3579 2.11 .4221 2.461 112.92 42.62 082483z2.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 4 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 96.61 20.140 .3102 1.90 .3638 2.143 83.63 -43.32 14.050 94.55 17.650 .2956 1.84 .3468 2.062 84.18 -39.69 14.100 92.19 16.030 .2816 1.78 .3305 1.987 85.13 -35.85 14.150 89.10 14.980 .2652 1.72 .3113 1.904 86.08 -31.09 14.200 87.04 14.370 .2541 1.68 .2984 1.851 87.01 -27.34 14.250 84.87 14.180 .2434 1.64 .2858 1.800 87.89 -23.24 14.300 82.50 14.340 .2325 1.61 .2731 1.751 88.55 -18.64 14.350 81.37 14.980 .2291 1.59 .2692 1.737 89.89 -15.13 14.400 80.24 15.830 .2267 1.59 .2665 1.727 91.10 -11.30 14.450 78.69 16.540 .2222 1.57 .2613 1.708 91.40 -6.94 14.500 78.28 17.720 .2252 1.58 .2649 1.721 92.73 -3.34 14.550 77.87 19.180 .2298 1.60 .2703 1.741 94.00 0.73 14.600 77.77 20.550 .2356 1.62 .2773 1.767 95.10 4.59 14.650 78.07 22.050 .2438 1.64 .2870 1.805 96.40 8.40 14.700 78.59 23.880 .2544 1.68 .2996 1.855 97.87 12.64 14.750 79.52 25.420 .2650 1.72 .3121 1.907 99.20 16.42 14.800 80.44 27.090 .2760 1.76 .3252 1.964 100.21 20.59 14.850 81.89 28.890 .2890 1.81 .3406 2.033 101.57 24.82 14.900 83.43 30.540 .3013 1.86 .3551 2.101 102.50 29.02 14.950 86.01 32.110 .3156 1.92 .3722 2.185 104.42 32.92 15.000 88.07 33.530 .3275 1.97 .3862 2.258 105.04 37.05 080283z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 5 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 103.00 18.640 .3316 1.99 .3889 2.273 80.23 -48.99 14.050 99.39 15.580 .3113 1.90 .3652 2.150 81.17 -44.27 14.100 96.31 12.980 .2933 1.83 .3442 2.050 81.61 -40.08 14.150 94.25 11.450 .2814 1.78 .3303 1.987 82.47 -37.03 14.200 90.13 10.560 .2605 1.70 .3058 1.881 83.25 -31.62 14.250 87.65 10.035 .2473 1.66 .2904 1.819 83.99 -27.78 14.300 85.49 10.210 .2367 1.62 .2781 1.770 85.09 -23.94 14.350 83.43 10.660 .2271 1.59 .2668 1.728 86.07 -19.93 14.400 81.37 11.460 .2184 1.56 .2567 1.691 86.91 -15.54 14.450 80.34 12.460 .2160 1.55 .2539 1.681 88.21 -11.97 14.500 78.80 13.860 .2128 1.54 .2502 1.668 89.10 -7.34 14.550 78.18 15.260 .2149 1.55 .2528 1.677 90.33 -3.47 14.600 77.77 16.640 .2185 1.56 .2571 1.692 91.37 0.37 14.650 77.46 18.290 .2241 1.58 .2638 1.717 92.36 4.58 14.700 77.56 19.930 .2319 1.60 .2731 1.751 93.38 8.61 14.750 78.04 21.660 .2418 1.64 .2848 1.796 94.54 12.63 14.800 78.80 23.310 .2524 1.68 .2974 1.846 95.59 16.54 14.850 79.83 25.260 .2653 1.72 .3126 1.909 96.74 20.89 14.900 80.86 27.110 .2774 1.77 .3270 1.972 97.36 25.27 14.950 82.92 28.760 .2915 1.82 .3437 2.047 98.86 29.13 15.000 85.18 30.530 .3063 1.88 .3612 2.131 100.20 33.36 082483z3.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 8 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 109.70 13.860 .3494 2.07 .4098 2.388 74.16 -53.16 14.050 105.60 9.890 .3286 1.98 .3854 2.254 74.80 -48.85 14.100 101.04 6.950 .3064 1.88 .3595 2.123 75.46 -44.26 14.150 97.34 5.020 .2881 1.81 .3382 2.022 76.16 -40.42 14.200 93.73 3.870 .2701 1.74 .3172 1.929 76.93 -36.50 14.250 89.25 3.750 .2474 1.66 .2905 1.819 77.81 -31.35 14.300 86.83 3.500 .2344 1.61 .2753 1.760 78.50 -28.11 14.350 84.46 4.080 .2219 1.57 .2607 1.705 79.62 -24.45 14.400 81.89 5.190 .2086 1.53 .2452 1.650 80.67 -20.09 14.450 80.03 6.370 .1997 1.50 .2348 1.614 81.72 -16.17 14.500 78.28 7.790 .1924 1.48 .2263 1.585 82.63 -11.99 14.550 77.15 9.450 .1902 1.47 .2237 1.576 83.84 -7.98 14.600 76.22 11.160 .1902 1.47 .2239 1.577 84.85 -3.91 14.650 75.71 13.040 .1943 1.48 .2287 1.593 86.02 0.18 14.700 75.71 15.170 .2028 1.51 .2388 1.627 87.53 4.36 14.750 75.71 17.080 .2111 1.54 .2487 1.662 88.46 8.49 14.800 76.22 18.990 .2221 1.57 .2617 1.709 89.60 12.46 14.850 76.74 20.610 .2319 1.60 .2732 1.752 90.18 16.20 14.900 78.07 23.020 .2484 1.66 .2928 1.828 91.79 20.78 14.950 79.31 25.150 .2630 1.71 .3101 1.899 92.65 25.21 15.000 80.86 27.330 .2785 1.77 .3284 1.978 93.42 29.76 072083z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 10 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 106.61 9.286 .3321 1.99 .3894 2.276 71.35 -49.54 14.050 102.18 5.872 .3105 1.90 .3643 2.146 71.88 -45.34 14.100 96.92 3.546 .2853 1.80 .3348 2.007 72.47 -40.43 14.150 92.70 2.544 .2643 1.72 .3103 1.900 73.40 -36.23 14.200 88.58 2.113 .2430 1.64 .2853 1.798 74.16 -31.82 14.250 84.98 2.421 .2235 1.58 .2625 1.712 75.07 -27.50 14.300 81.89 3.007 .2063 1.52 .2424 1.640 75.84 -23.36 14.350 79.10 4.390 .1914 1.47 .2249 1.580 76.99 -18.90 14.400 76.74 5.868 .1794 1.44 .2109 1.535 77.93 -14.52 14.450 75.19 7.682 .1742 1.42 .2048 1.515 79.31 -10.46 14.500 73.64 9.655 .1710 1.41 .2011 1.503 80.38 -6.01 14.550 72.20 11.821 .1712 1.41 .2014 1.505 81.21 -1.25 14.600 71.59 14.110 .1784 1.43 .2099 1.531 82.49 3.13 14.650 71.59 16.246 .1891 1.47 .2225 1.572 83.91 7.06 14.700 71.59 18.299 .2000 1.50 .2355 1.616 84.86 11.11 14.750 72.10 20.678 .2151 1.55 .2533 1.678 86.26 15.38 14.800 72.82 23.176 .2316 1.60 .2728 1.750 87.54 19.89 14.850 74.16 25.589 .2493 1.66 .2937 1.832 89.11 24.18 14.900 75.40 27.718 .2646 1.72 .3119 1.907 89.94 28.31 14.950 76.53 30.435 .2825 1.79 .3331 1.999 90.30 33.42 15.000 78.28 32.533 .2980 1.85 .3515 2.084 90.79 37.55 082883z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 12 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 117.42 12.430 .3760 2.21 .4410 2.578 70.77 -58.39 14.050 113.09 7.150 .3559 2.11 .4175 2.434 71.15 -54.32 14.100 108.15 3.300 .3345 2.01 .3925 2.292 71.74 -50.08 14.150 103.00 0.600 .3121 1.91 .3664 2.156 72.35 -45.67 14.200 98.37 -0.951 .2913 1.82 .3420 2.039 73.09 -41.55 14.250 93.94 -1.660 .2702 1.74 .3173 1.930 73.85 -37.31 14.300 90.13 -1.820 .2510 1.67 .2948 1.836 74.58 -33.32 14.350 86.52 -1.460 .2316 1.60 .2722 1.748 75.24 -29.15 14.400 83.43 -0.521 .2142 1.55 .2518 1.673 76.08 -24.99 14.450 80.65 0.450 .1979 1.49 .2327 1.607 76.58 -20.92 14.500 78.28 1.930 .1841 1.45 .2165 1.553 77.28 -16.71 14.550 76.43 3.770 .1743 1.42 .2051 1.516 78.21 -12.47 14.600 75.19 5.820 .1699 1.41 .2000 1.500 79.39 -8.34 14.650 74.16 7.710 .1681 1.40 .1979 1.493 80.22 -4.32 14.700 73.13 10.070 .1695 1.41 .1996 1.499 80.93 0.35 14.750 72.62 12.240 .1752 1.42 .2063 1.520 81.61 4.61 14.800 72.62 14.530 .1853 1.45 .2183 1.559 82.53 8.85 14.850 72.62 16.840 .1965 1.49 .2316 1.603 82.99 13.25 14.900 73.13 19.730 .2136 1.54 .2518 1.673 83.87 18.28 14.950 74.16 21.070 .2245 1.58 .2647 1.720 84.42 21.19 15.000 75.91 24.930 .2509 1.67 .2959 1.841 86.13 27.44 071983z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 14 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 112.27 14.571 .3599 2.12 .4220 2.460 73.92 -55.35 14.050 108.15 9.751 .3387 2.02 .3973 2.319 74.20 -50.96 14.100 103.52 6.489 .3168 1.93 .3717 2.183 74.86 -46.45 14.150 98.78 2.831 .2936 1.83 .3447 2.052 74.19 -41.86 14.200 94.76 2.831 .2746 1.76 .3224 1.952 76.08 -37.67 14.250 90.64 2.470 .2539 1.68 .2981 1.850 76.93 -33.10 14.300 87.55 2.587 .2377 1.62 .2792 1.775 77.87 -29.20 14.350 84.25 3.171 .2200 1.56 .2585 1.697 78.60 -24.71 14.400 81.37 4.201 .2045 1.51 .2403 1.633 79.36 -20.19 14.450 79.31 5.723 .1945 1.48 .2287 1.593 80.57 -15.94 14.500 77.25 7.379 .1856 1.46 .2182 1.558 81.39 -11.36 14.550 76.01 9.141 .1829 1.45 .2152 1.548 82.50 -7.24 14.600 74.68 11.233 .1822 1.45 .2144 1.546 83.34 -2.51 14.650 74.26 13.515 .1889 1.47 .2223 1.572 84.80 1.86 14.700 74.16 15.646 .1977 1.49 .2327 1.607 86.06 6.06 14.750 74.16 18.441 .2110 1.53 .2485 1.661 87.43 11.21 14.800 74.37 20.068 .2201 1.56 .2592 1.700 87.82 14.93 14.850 74.68 22.357 .2332 1.61 .2748 1.758 88.28 19.54 14.900 76.12 24.631 .2500 1.67 .2946 1.835 89.76 23.76 14.950 77.25 27.023 .2660 1.72 .3137 1.914 90.35 28.43 15.000 78.38 29.667 .2830 1.79 .3338 2.002 90.42 33.51 082883z2.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 16 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 118.97 16.210 .3854 2.25 .4520 2.650 72.84 -60.71 14.050 114.85 10.320 .3648 2.15 .4280 2.497 73.13 -56.36 14.100 109.70 5.500 .3417 2.04 .4010 2.339 73.36 -51.59 14.150 105.06 2.380 .3213 1.95 .3772 2.211 73.88 -47.45 14.200 100.73 0.296 .3020 1.87 .3546 2.099 74.47 -43.53 14.250 95.48 -1.095 .2776 1.77 .3260 1.967 74.73 -38.60 14.300 91.67 -1.434 .2588 1.70 .3040 1.874 75.47 -34.63 14.350 88.07 -1.150 .2399 1.63 .2820 1.785 76.24 -30.46 14.400 85.28 -0.556 .2246 1.58 .2640 1.717 77.09 -26.73 14.450 82.40 0.346 .2082 1.53 .2448 1.648 77.65 -22.58 14.500 78.80 2.170 .1874 1.46 .2204 1.566 77.90 -16.98 14.550 77.25 3.940 .1796 1.44 .2113 1.536 79.07 -13.02 14.600 75.40 6.030 .1716 1.41 .2020 1.506 79.76 -8.30 14.650 74.26 8.120 .1698 1.41 .1999 1.500 80.63 -3.97 14.675 73.95 9.270 .1715 1.41 .2019 1.506 81.25 -1.81 14.700 73.13 10.480 .1710 1.41 .2013 1.504 81.21 0.82 14.750 72.51 12.810 .1770 1.43 .2085 1.527 81.83 5.36 14.800 72.51 15.140 .1877 1.46 .2211 1.568 82.72 9.67 14.850 72.51 16.770 .1957 1.49 .2306 1.600 82.82 13.21 14.900 73.13 19.500 .2124 1.54 .2503 1.668 83.78 17.98 14.950 74.16 23.010 .2349 1.61 .2770 1.766 84.97 23.80 15.000 75.40 26.200 .2562 1.69 .3022 1.866 85.67 29.27 071783z1.dat 20-Meter Dipole, Length = 32.33 ft, HEIGHT = 22 ft, Calibrated Feed Line = 42.25 feet (40 feet RG-58 + balun of 2-ft RG-141 w/100 No.73 beads, RF Bridge General Radio GR-1606-A, Signal Generator Ferris Microvolter 70B, Receiver Collins 75A-4. TRANSFORMING Zi = Ri+jXi MEASURED AT LINE INPUT TO ZL = RL+jXL AT LOAD FEED LINE CALIBRATION: LINE-LENGTH IN DEGREES/MHZ, PHI = 23.72 LINE ATTENUATION IN DB/SQR(MHZ), A = .185 LINE IMPEDANCE, ZC = 54 F Ri Xi RHOi SWRi RHO L SWR L RL XL ----------------------------------------------------------------------------- 14.000 123.60 23.710 .4104 2.39 .4813 2.856 75.90 -66.80 14.050 120.51 15.800 .3901 2.28 .4577 2.688 75.51 -62.12 14.100 117.42 10.990 .3747 2.20 .4397 2.570 76.32 -58.76 14.150 112.27 6.042 .3521 2.09 .4133 2.409 76.52 -53.83 14.200 108.15 2.460 .3343 2.00 .3925 2.292 76.73 -50.01 14.250 103.00 0.281 .3121 1.91 .3666 2.157 77.29 -45.27 14.300 98.37 -1.119 .2913 1.82 .3422 2.040 77.70 -40.79 14.400 90.13 -1.701 .2509 1.67 .2949 1.837 78.53 -31.85 14.500 84.98 -0.345 .2229 1.57 .2621 1.711 80.19 -24.33 14.600 80.03 2.843 .1953 1.49 .2298 1.597 81.48 -15.04 14.700 77.25 6.803 .1843 1.45 .2170 1.554 83.16 -6.11 14.750 76.22 9.966 .1865 1.46 .2196 1.563 84.39 -0.33 14.800 75.91 11.486 .1897 1.47 .2235 1.576 84.87 3.29 14.850 76.22 14.141 .2011 1.50 .2369 1.621 86.30 8.09 14.900 76.22 16.640 .2115 1.54 .2493 1.664 86.73 13.02 14.950 76.74 19.197 .2252 1.58 .2655 1.723 87.30 17.92 15.000 78.28 21.400 .2415 1.64 .2849 1.797 88.62 22.18 |
#2
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Reg, I goofed. The antenna impedance data in text format went into this thread
by mistake instead of into the Antenna Measurements thread. Unfortunately, the tabular integrity is not as good as with the PDF file. I hope you can decipher it. Walt, W2DU |
#3
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On Mon, 20 Jun 2005 23:17:40 -0400, "Walter Maxwell"
wrote: Hi All, Reg asked if I could send my data as an email, so I converted the file to text format to be able to present the data in full here in this msg. I checked to see that the tabular format remained intact, and it did in Outlook Express, so here it is. I hope the tabular format will remain intact in your browsers. Be sure to give your screen maximum width. If it doesn't, let me know and I'll resend in PDF format. I'd like to hear your comments. Hi Walt, Thanx big time for this work of dedication. I have other projects to attend to, but I am sure looking forward to close examination of this trove of data by hunkering down with Mathcad and casting up some charts. Hope to do that within the week if not sooner. 73's Richard Clark, KB7QHC |
#4
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![]() "Richard Clark" wrote in message news ![]() On Mon, 20 Jun 2005 23:17:40 -0400, "Walter Maxwell" wrote: Hi All, Reg asked if I could send my data as an email, so I converted the file to text format to be able to present the data in full here in this msg. I checked to see that the tabular format remained intact, and it did in Outlook Express, so here it is. I hope the tabular format will remain intact in your browsers. Be sure to give your screen maximum width. If it doesn't, let me know and I'll resend in PDF format. I'd like to hear your comments. Hi Walt, Thanx big time for this work of dedication. I have other projects to attend to, but I am sure looking forward to close examination of this trove of data by hunkering down with Mathcad and casting up some charts. Hope to do that within the week if not sooner. 73's Richard Clark, KB7QHC Hi Richard, Thanx big time for considering my data worthy of your time for further examination. You've already made me anxious to see what interesting results might come from your delving into my data with Mathcad. Walt |
#5
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On Tue, 21 Jun 2005 11:37:57 -0400, "Walter Maxwell"
wrote: Thanx big time for considering my data worthy of your time for further examination. You've already made me anxious to see what interesting results might come from your delving into my data with Mathcad. Hi Walt, Even on simple examination, it proves useful. It obviously exhibits the wire wavelength altering effect of the proximity of earth. This is something Reg has harped on for years and which he curiously rejects as being incapable of demonstration in just such as your data. Perhaps this curious twist is explainable. There seems to be a new vogue of posting errant hypothesis these days so the authors can prove themselves wrong. I've seen three such admissions in just the last week. 73's Richard Clark, KB7QHC |
#6
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On Tue, 21 Jun 2005 11:37:57 -0400, "Walter Maxwell"
wrote: [snip] Walt, Your's was a particularly heroic effort and I commend you for it. I have taken the data you supplied in text form, converted it to comma separated values (csv) and imported it into XLZIZL where I can use your measured input values, add the two different transmission lines that you used and compute the load resistance at the antenna. I know that you supplied these results, but I find slightly different answers and I believe the reason is as follows: I'm guessing that you calibrated your two lines as one. If I'm wrong, slap me upside the head. Depending on the exact type, RG58(x) has slightly different Zo values. RG141 is specified as 50.0. Your Zo of 54 and your phase constant suggest a Vp of slightly less than .66, which is remarkably close to specification, but slightly low, considering the ~5% (2', RG141) of your composite line has Vp ~ 0.7. This is really getting fussy, but I'm beginning to believe that to possibly make a determination about ground characteristics based on antenna Z measurements, the measurements are going to have to be very precise. |
#7
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![]() "Wes Stewart" wrote in message ... On Tue, 21 Jun 2005 11:37:57 -0400, "Walter Maxwell" wrote: [snip] Walt, Your's was a particularly heroic effort and I commend you for it. I have taken the data you supplied in text form, converted it to comma separated values (csv) and imported it into XLZIZL where I can use your measured input values, add the two different transmission lines that you used and compute the load resistance at the antenna. I know that you supplied these results, but I find slightly different answers and I believe the reason is as follows: I'm guessing that you calibrated your two lines as one. If I'm wrong, slap me upside the head. Depending on the exact type, RG58(x) has slightly different Zo values. RG141 is specified as 50.0. Your Zo of 54 and your phase constant suggest a Vp of slightly less than .66, which is remarkably close to specification, but slightly low, considering the ~5% (2', RG141) of your composite line has Vp ~ 0.7. This is really getting fussy, but I'm beginning to believe that to possibly make a determination about ground characteristics based on antenna Z measurements, the measurements are going to have to be very precise. Wes You're right, Wes, I calibrated the composite line as one line. And I agree that if you calibrate them separately a small difference in the results will be obtained. But I believe the difference will be insignificant. Consider this: The nominal Zo of RG58 is 55 ohms and that of RG141 is 50, as you point out. The measured Zo of the composite line is 54 ohms. Now also consider this: The nominal vf for RG58 is 0.659 and for RG141 is 0.695. Thus the difference in the nominal Zo is 10% and the difference in vf is 5.5%, but the length of the short portion is only 5% of the total length. From these small differences I presumed the error would be significant. You didn't say exactly how much difference you found, or the procedure you used to determine it. So I made the following calculations from the data where the height is 10 ft at 14.55 MHz: First transforming the measured input impedance through the 40 ft of RG58, and then transforming the impedance found at the load end of the RG58 through the 2 ft of RG141. The results are as follows: At the load end of the RG58 and the input to the RG141: 69.41 - j19.19, At the load end of the RG141: ........................................79.23 - j3.25. At the load end of the RG141 using the composite data: 81.21 - j1.25. The difference in the R values is only 1.98 ohms and in the X values is only 2 ohms. I consider this degree of error insignificant. Would you not agree? Walt |
#8
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![]() "Richard Clark" wrote in message news ![]() On Mon, 20 Jun 2005 23:17:40 -0400, "Walter Maxwell" wrote: Hi All, Reg asked if I could send my data as an email, so I converted the file to text format to be able to present the data in full here in this msg. I checked to see that the tabular format remained intact, and it did in Outlook Express, so here it is. I hope the tabular format will remain intact in your browsers. Be sure to give your screen maximum width. If it doesn't, let me know and I'll resend in PDF format. I'd like to hear your comments. Hi Walt, Thanx big time for this work of dedication. I have other projects to attend to, but I am sure looking forward to close examination of this trove of data by hunkering down with Mathcad and casting up some charts. Hope to do that within the week if not sooner. 73's Richard Clark, KB7QHC Hi Richard, Your mentioning Mathcad, (I have 2000i ed.) made me think of using Excel to produce some graphs of the data, however, there are two other projects that must come first. I have used Mathcad only to solve problems using the equations one can build there, and have not explored the graphing possibilities. With both Excel and Mathcad available do you think I should spend the time learning graphics with Mathcad, or stick with Excel which I already know how to use? Walt |
#9
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On Tue, 21 Jun 2005 17:35:11 -0400, "Walter Maxwell"
wrote: Your mentioning Mathcad, (I have 2000i ed.) Hi Walt, My version is ancient in comparison, but I can't see the cost of upgrading. made me think of using Excel to produce some graphs of the data, however, there are two other projects that must come first. I have used Mathcad only to solve problems using the equations one can build there, and have not explored the graphing possibilities. I enjoy Mathcad for tying them together. When I think of Excel, it is with pedestrian bar graphs and pie charts. With both Excel and Mathcad available do you think I should spend the time learning graphics with Mathcad, or stick with Excel which I already know how to use? Stick with Excel, but look into XLZIZL.xls for analysis. 73's Richard Clark, KB7QHC |
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![]() "Richard Clark" wrote in message ... On Tue, 21 Jun 2005 17:35:11 -0400, "Walter Maxwell" wrote: Your mentioning Mathcad, (I have 2000i ed.) Hi Walt, My version is ancient in comparison, but I can't see the cost of upgrading. made me think of using Excel to produce some graphs of the data, however, there are two other projects that must come first. I have used Mathcad only to solve problems using the equations one can build there, and have not explored the graphing possibilities. I enjoy Mathcad for tying them together. When I think of Excel, it is with pedestrian bar graphs and pie charts. With both Excel and Mathcad available do you think I should spend the time learning graphics with Mathcad, or stick with Excel which I already know how to use? Stick with Excel, but look into XLZIZL.xls for analysis. 73's Richard Clark, KB7QHC Thanks for the advice, Richard, Walt |
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