calculator:approximation_of_grover_tx
| Stan Zurek, Approximation of Grover's T(x) function - auxiliary data, Encyclopedia Magnetica, http://e-magnetica.pl/doku.php/calculator/approximation_of_grover_tx, {accessed: 2025-03-13} |
Go back to: | [1] Frederick W. Grover, Inductance Calculations: Working Formulas and Tables, ISA, New York, 1982, ISBN 0876645570 [2] B.C. Wadell, Transmission Line Design Handbook, Artech House, Norwood, 1991, ISBN 0890064369 |
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| Table 52 in [1] | |||
| x | T(x) | approx. by Wadell [2] TW(x) = √[ (0.873011+0.00186128*x) / (1-0.278381*x+0.127964*x2) ] | Wadell's approx. Wadell with Zurek's correction TW,Z(x) = TW(x) + 0.06/(x+1)6 (published here only) |
| 0 | 1.0000 | 0.9344 | 0.9944 |
| 0.5 | 0.9998 | 0.9894 | 0.9946 |
| 0.6 | 0.9997 | 0.9972 | 1.0008 |
| 0.8 | 0.9989 | 1.0089 | 1.0106 |
| 1 | 0.9974 | 1.0148 | 1.0157 |
| 1.5 | 0.9871 | 1.0031 | 1.0034 |
| 2 | 0.9611 | 0.9581 | 0.9582 |
| 3 | 0.8452 | 0.8169 | 0.8169 |
| 4 | 0.6863 | 0.6747 | 0.6747 |
| 5 | 0.5560 | 0.5606 | 0.5606 |
| 10 | 0.2816 | 0.2845 | 0.2845 |
| 15 | 0.1947 | 0.1875 | 0.1875 |
| 20 | 0.1413 | 0.1397 | 0.1397 |
| 50 | 0.0566 | 0.0561 | 0.0561 |
| 80 | 0.0354 | 0.0358 | 0.0358 |
| 100 | 0.0283 | 0.0291 | 0.0291 |
Additional note: The following online calculators were useful for comparing the calculated results:
- CHEMANDY ELECTRONICS, Round Wire Inductance Calculator, https://chemandy.com/calculators/round-wire-inductance-calculator.htm {accessed 2025-01-12}
- Hosoda Takayuki, Inductance of a straight conductor of circular section, http://www.finetune.co.jp/~lyuka/technote/inductor/inductor-straight-circular.html {accessed 2024-01-12}
calculator/approximation_of_grover_tx.txt · Last modified: 2025/01/13 14:38 by stan_zurek