calculator:magnet_rectangular
Calculator of H along axis of rectangular magnet
This section is an interactive calculator. |
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Magnetic field strength H of a cuboid (rectangular) permanent magnet along its axis | |
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$$ H(x) = \frac{B_r}{π·µ_0}· \left( \text{atan} \frac{2·(x+L)·\sqrt{a^2+b^2+4·(x+L)^2}}{a·b} - \text{atan} \frac{2·x·\sqrt{a^2+b^2+4·x^2}}{a·b} \right) $$ | (A/m) |
where: $B_r$ - remanence (flux density) of the permanent magnet (T), $L$ - axial length of the cuboid magnet (m), $a$ and $b$ - lengths (m) of the sides of the cuboid magnet, $x$ - location (m) from the surface of the magnet (surface is synonymous with x = 0), μ_{0} - magnetic permeability of vacuum (H/m) |
Notes: This is valid only for a uniformly magnetised cuboid magnet, for the field along its axis.^{1)} The value of B(μ_{0}) is for vacuum.
calculator/magnet_rectangular.txt · Last modified: 2023/09/26 23:19 by stan_zurek