*長岡係数
・・・有限長の円柱形ソレノイドコイルの自己インダクタンスを求める際に用いる。無限長の場合の自己インダクタンスの式に之を係数としてつければ、有限長円柱型ソレノイドコイルの自己インダクタンスが求まる。これは直径と長さの比; D/L で決まる。阪大初代総長の長岡半太郎らが論文に書いた。
第 1 表 長岡係数 | ||||||
D/L | Ω | Δ | D/L | Ω | Δ | |
0.00 | 1.000000 | 1.05 | 0.677697 | -0.010726 | ||
0.01 | 0.995769 | -0.004231 | 1.10 | 0.667315 | -0.010382 | |
0.02 | 0.991562 | -0.004207 | 1.15 | 0.657263 | -0.010052 | |
0.03 | 0.987381 | -0.004181 | 1.20 | 0.647527 | -0.009736 | |
0.04 | 0.983224 | -0.004157 | 1.25 | 0.638095 | -0.009432 | |
0.05 | 0.979092 | -0.004132 | 1.30 | 0.628950 | -0.009145 | |
0.06 | 0.974985 | -0.004107 | 1.35 | 0.620086 | -0.008864 | |
0.07 | 0.970903 | -0.004082 | 1.40 | 0.611487 | -0.008599 | |
0.08 | 0.966847 | -0.004056 | 1.45 | 0.603144 | -0.008343 | |
0.09 | 0.962815 | -0.004032 | 1.50 | 0.595045 | -0.008099 | |
0.10 | 0.958807 | -0.004008 | 1.55 | 0.587182 | -0.007863 | |
0.11 | 0.954825 | -0.003982 | 1.60 | 0.579543 | -0.007639 | |
0.12 | 0.950868 | -0.003957 | 1.65 | 0.572119 | -0.007424 | |
0.13 | 0.946935 | -0.003933 | 1.70 | 0.564903 | -0.007216 | |
0.14 | 0.943025 | -0.003910 | 1.75 | 0.557885 | -0.007018 | |
0.15 | 0.939141 | -0.003884 | 1.80 | 0.551057 | -0.006828 | |
0.16 | 0.935284 | -0.003857 | 1.85 | 0.544413 | -0.006644 | |
0.17 | 0.931450 | -0.003834 | 1.90 | 0.537945 | -0.006468 | |
0.18 | 0.927639 | -0.003811 | 1.95 | 0.531647 | -0.006298 | |
0.19 | 0.923854 | -0.003785 | 2.00 | 0.525510 | -0.006137 | |
0.20 | 0.920093 | -0.003761 | 2.10 | 0.513701 | -0.011809 | |
0.21 | 0.916356 | -0.003737 | 2.20 | 0.502472 | -0.011229 | |
0.22 | 0.912643 | -0.003713 | 2.30 | 0.491782 | -0.010690 | |
0.23 | 0.908954 | -0.003689 | 2.40 | 0.481591 | -0.010191 | |
0.24 | 0.905290 | -0.003664 | 2.50 | 0.471865 | -0.009726 | |
0.25 | 0.901649 | -0.003641 | 2.60 | 0.462573 | -0.009292 | |
0.26 | 0.898033 | -0.003616 | 2.70 | 0.453686 | -0.008887 | |
0.27 | 0.894440 | -0.003593 | 2.80 | 0.445177 | -0.008509 | |
0.28 | 0.890871 | -0.003569 | 2.90 | 0.437023 | -0.008154 | |
0.29 | 0.887325 | -0.003546 | 3.00 | 0.429199 | -0.007824 | |
0.30 | 0.883803 | -0.003522 | 3.10 | 0.421687 | -0.007512 | |
0.31 | 0.880305 | -0.003498 | 3.20 | 0.414468 | -0.007219 | |
0.32 | 0.876829 | -0.003476 | 3.30 | 0.407524 | -0.006944 | |
0.33 | 0.873377 | -0.003452 | 3.40 | 0.400840 | -0.006684 | |
0.34 | 0.869948 | -0.003429 | 3.50 | 0.394401 | -0.006439 | |
0.35 | 0.866542 | -0.003406 | 3.60 | 0.388192 | -0.006209 | |
0.36 | 0.863158 | -0.003384 | 3.70 | 0.382203 | -0.005989 | |
0.37 | 0.859799 | -0.003359 | 3.80 | 0.376421 | -0.005782 | |
0.38 | 0.856461 | -0.003338 | 3.90 | 0.370834 | -0.005587 | |
0.39 | 0.853146 | -0.003315 | 4.00 | 0.365438 | -0.005396 | |
0.40 | 0.849853 | -0.003293 | 4.10 | 0.360206 | -0.005232 | |
0.41 | 0.846583 | -0.003270 | 4.20 | 0.355147 | -0.005059 | |
0.42 | 0.843335 | -0.003248 | 4.30 | 0.350249 | -0.004898 | |
0.43 | 0.840110 | -0.003225 | 4.40 | 0.345503 | -0.004746 | |
0.44 | 0.836906 | -0.003204 | 4.50 | 0.340898 | -0.004605 | |
0.45 | 0.833723 | -0.003183 | 4.60 | 0.336431 | -0.004467 | |
0.46 | 0.830563 | -0.003160 | 4.70 | 0.332098 | -0.004333 | |
0.47 | 0.827424 | -0.003139 | 4.80 | 0.327890 | -0.004208 | |
0.48 | 0.824307 | -0.003117 | 4.90 | 0.323800 | -0.004090 | |
0.49 | 0.821211 | -0.003096 | 5.00 | 0.319825 | -0.003975 | |
0.50 | 0.818136 | -0.003075 | 5.50 | 0.301502 | -0.018323 | |
0.51 | 0.815082 | -0.003054 | 6.00 | 0.285406 | -0.016096 | |
0.52 | 0.812049 | -0.003033 | 6.50 | 0.271144 | -0.014262 | |
0.53 | 0.809037 | -0.003012 | 7.00 | 0.258407 | -0.012737 | |
0.54 | 0.806046 | -0.002991 | 7.50 | 0.246982 | -0.011425 | |
0.55 | 0.803075 | -0.002971 | 8.00 | 0.236581 | -0.010401 | |
0.56 | 0.800125 | -0.002950 | 8.50 | 0.227147 | -0.009434 | |
0.57 | 0.797195 | -0.002930 | 9.00 | 0.218528 | -0.008619 | |
0.58 | 0.794285 | -0.002910 | 9.50 | 0.210617 | -0.007911 | |
0.59 | 0.791395 | -0.002890 | 10.00 | 0.203315 | -0.007302 | |
0.60 | 0.788525 | -0.002870 | ||||
0.61 | 0.785675 | -0.002850 | ||||
0.62 | 0.782844 | -0.002831 | ||||
0.63 | 0.780032 | -0.002812 | ||||
0.64 | 0.777240 | -0.002792 | ||||
0.65 | 0.774467 | -0.002773 | ||||
0.66 | 0.771713 | -0.002754 | ||||
0.67 | 0.768978 | -0.002735 | ||||
0.68 | 0.766262 | -0.002716 | ||||
0.69 | 0.763565 | -0.002697 | ||||
0.70 | 0.760886 | -0.002679 | ||||
0.71 | 0.758225 | -0.002661 | ||||
0.72 | 0.755582 | -0.002643 | ||||
0.73 | 0.752958 | -0.002624 | ||||
0.74 | 0.750351 | -0.002607 | ||||
0.75 | 0.747762 | -0.002589 | ||||
0.76 | 0.745191 | -0.002571 | ||||
0.77 | 0.742637 | -0.002554 | ||||
0.78 | 0.740100 | -0.002537 | ||||
0.79 | 0.737581 | -0.002519 | ||||
0.80 | 0.735079 | -0.002502 | ||||
0.81 | 0.732593 | -0.002486 | ||||
0.82 | 0.730126 | -0.002467 | ||||
0.83 | 0.727675 | -0.002451 | ||||
0.84 | 0.725240 | -0.002435 | ||||
0.85 | 0.722821 | -0.002419 | ||||
0.86 | 0.720419 | -0.002402 | ||||
0.87 | 0.718033 | -0.002386 | ||||
0.88 | 0.715663 | -0.002370 | ||||
0.89 | 0.713308 | -0.002355 | ||||
0.90 | 0.710969 | -0.002339 | ||||
0.91 | 0.708647 | -0.002322 | ||||
0.92 | 0.706339 | -0.002308 | ||||
0.93 | 0.704047 | -0.002292 | ||||
0.94 | 0.701770 | -0.002277 | ||||
0.95 | 0.699509 | -0.002261 | ||||
0.96 | 0.697262 | -0.002247 | ||||
0.97 | 0.695030 | -0.002232 | ||||
0.98 | 0.692813 | -0.002217 | ||||
0.99 | 0.690611 | -0.002202 | ||||
1.00 | 0.688423 | -0.002188 |
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