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calculator:current_loop_rectangular_axis

Calculator of H along axis of rectangular current loop

Stan Zurek, Calculator of H along axis of rectangular current loop, Encyclopedia Magnetica,
https://e-magnetica.pl/doku.php/calculator/current_loop_rectangular_axis, {accessed: 2025-02-09}
Magnetic field strength H of rectangular current loop along its axis
Source: [1] Fausto Fiorillo, Measurement and Characterization of Magnetic Materials, Academic Press, 2005, ISBN 9780122572517
[1], eq. (4.6), p. 108 (converted by Stan Zurek to use notation will full length of sides)
$$ H(t,x) = I(t)· \frac{2}{π}·\frac{a·b}{\sqrt{4·x^2 + a^2 + b^2} }·\left(\frac{1}{4·x^2 + a^2} + \frac{1}{4·x^2 + b^2} \right) $$ (A/m)
where: $I(t)$ - current (A) at time $t$ (s), $a$ and $b$ - length of sides of the rectangular loop (m), $x$ - location (m) from the centre of the loop (the centre is located at point x = 0); assuming infinitely thin wire and a rectangular loop placed in a uniform medium; (use $a=b$ for a square loop)

Current I =        Position on axis x =

Side a =        Side b =

              H (A/m) =

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calculator/current_loop_rectangular_axis.txt · Last modified: 2025/01/18 23:01 by stan_zurek

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