calculator:helmholtz_coil_inductance_simple
Calculator of Helmholtz coil inductance - simplified
 | Stan Zurek, Calculator of Helmholtz coil inductance - simplified, Encyclopedia Magnetica, https://www.e-magnetica.pl/doku.php/calculator/helmholtz_coil_inductance_simple, {accessed: 2025-03-13} |
 See more: Calculators of inductance |
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An approximate value of the inductance of a Helmholtz coil can be estimated with this following equation.
| Approximate inductance of Helmholtz coil (two halves connected in series) | ||
|---|---|---|
| Source: [1] Yuan Jiang, Qing Li, Vacuum Circuit Breaker for Aviation Variable Frequency Power System, Theory and Application of Arc in Electrical Apparatus, Springer Nature, 2021, ISBN 9789813347816 | ||
| [1], eq. (2.8), p. 38 | $$ L \approx 2 · π· \left( \frac{4}{5} \right)^{3/2} · μ_0 · r · N_{half}^2 $$ | (H) |
| where: $N_{half}$ - number of turns in each half-coil (unitless), $r$ - radius of the coils (m) measured to the centre of the bunch of wires, $μ_0$ - permeability of vacuum (H/m) | ||
Note: The equation ignores the size/diameter of the wire bunches in each coil and therefore gives only an approximate value (an order of magnitude).
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calculator/helmholtz_coil_inductance_simple.txt · Last modified: 2025/01/19 00:45 by stan_zurek