calculator:magnet_cylindrical
Calculator of H along axis of cylindrical magnet
 This section is an interactive calculator. |
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| Magnetic field strength H of a cylindrical permanent magnet along its axis | ||
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| (based on magnet diameter D) | $ H(x) = \frac{B_r}{2·µ_0}· \left( \frac{x+L}{\sqrt{D^2 /4 +(x+L)^2}} - \frac{x}{\sqrt{D^2 /4 +x^2}} \right)$ | (A/m) |
| (based on magnet radius R) | $ H(x) = \frac{B_r}{2·µ_0}· \left( \frac{x+L}{\sqrt{R^2+(x+L)^2}} - \frac{x}{\sqrt{R^2+x^2}} \right) $ | |
| where: $B_r$ - remanence (flux density) of the permanent magnet (T), $L$ - axial length (m) of the cylindrical magnet, $D$ - diameter (m) of the of the magnet, $R$ - radius (m) of the of the magnet, $x$ - location (m) from the surface of the magnet (surface is synonymous with x = 0), μ0 - magnetic permeability of vacuum (H/m) | ||
Notes: This equation is valid only for a uniformly magnetised cylindrical magnet, for the field along its axis.1) The value of B(μ0) is for vacuum.
calculator/magnet_cylindrical.txt · Last modified: 2023/10/15 18:21 by stan_zurek