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Formula Collection |
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| FORMULA NAME: Single Layer Coil Formula |  |
| FORMULA USAGE: To calculate inductance in single layer coils. | |
| APPLICATION: Use to ballpark Tesla coil secondary inductance. | |
| FORMULA DEFINTIONS | |
| L is the inductance in microhenrys. | N is the number of turns. |
| A is the mean radius in inches. | B is the length of the coil in inches. |
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(N * A)^2 L = -------------------------- (9 * A) + (10 * B) |
SQR(L * ((9 * A) + (10 * B))) N = ----------------------------------------------- A |
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9L + SQR(81 * L^2 + 40 * B * N^2* L) A = ------------------------------------------------------ 2 * (N^2) |
(((N * A)^2) / L) - (9 * A) B = ----------------------------------------------- 10 |
| EXAMPLE APPLICATION | |
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Secondary diameter is 4 inches. (Let's call this SD) Length of coil windings is 15 inches. Wire diameter is .03 inches.(Let's call this WD) Turns per inch = 1 / wd = 33.3333 (Let's call this TPI) With this prior information we can now determine N, A, and B. B = 15 N = B * TPI = 15 * 33.33333 = 500 A = (SD + WD) / 2 = (4 + .03) / 2 = 2.015 Now plugging into to the above formula to solve for L (500 * 2.015)^2 L = ---------------------------------- (9 * 2.015) + (10 * 15) 1015056.25 L = ---------------------------------- 168.135 L = 6037.150207 microhenrys (Multiply by 10^-6 for henrys) L = .0063715 henrys |
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| FORMULA NAME: Resonance Formula | |
| FORMULA USAGE: To find resonant frequency | |
| APPLICATION: Guess! | |
| FORMULA DEFINITIONS | |
| RF is the resonant frequency in hertz. | L is the inductance in henrys. |
| C is the capacitance in farads. | pi = 3.141592654 |
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1 RF = ------------------------------------ 2 * pi * SQR(L * C) |
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| L = (1 / (2 * pi * RF * SQR(C)) ^ 2) | C = (1 / (2 * pi * RF * SQR(L)) ^ 2) |
| EXAMPLE APPLICATION | |
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Let's use the inductance calculated from single layer example. L = .0063715 henrys Lets say that the seondary and torroid capacitance = 10pf C = .00000000001 Now plugging into to the above formula to solve for RF 1 RF = ---------------------------------------------------------------------------------- 2 * 3.141592654 * SQR(.0063715 * .00000000001) RF = 630520.6113 hertz |
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Send E-Mail to tesla@america.com (Bob Shumann) Kevin Nardelle THANKS BOB!