calculator:solenoid_thin
Calculator of H along axis of round "thin" solenoid
 | Stan Zurek, Calculator of H along axis of round “thin” solenoid, Encyclopedia Magnetica, https://www.e-magnetica.pl/doku.php/calculator/solenoid_thin, {accessed: 2025-03-13} |
| Magnetic field strength H of a circular “thin” solenoid along its axis | ||
|---|---|---|
| Source: [1] Fausto Fiorillo, Measurement and Characterization of Magnetic Materials, Academic Press, 2005, ISBN 9780122572517 | ||
| [1], eq. (4.9), p. 110 | $$ H(t,x) = \frac{I(t) · N}{2·L}· \left( \frac{L + 2·x}{\sqrt{ d^2 + (L+2·x)^2}} + \frac{L - 2·x}{\sqrt{ d^2 + (L-2·x)^2}} \right) $$ | (A/m) |
| where: $I(t)$ - current (A) at time $t$ (s), $N$ - total number of turns (unitless), $L$ - length of the solenoid (m), $d \approx D$ - diameter of the solenoid (m), $x$ - location (m) from the centre of the solenoid (the centre is located at the point x = 0) | ||
Notes: This equation is valid only for uniformly wound solenoid, with infinitely thin wire. The instantaneous values of H are directly proportional to the instantaneous values of I. The value of B(μ0) is for vacuum.
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calculator/solenoid_thin.txt · Last modified: 2025/02/12 18:26 by stan_zurek