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Calculator of H along axis of cylindrical magnet

This section is an interactive calculator.
Magnetic field strength H of a cylindrical permanent magnet along its axis
(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)
Magnetic field along the axis of a cylindrical magnet

Remanence Br = (T)     

Diameter D =     

Length L =     

Position on axis x =

H =      B0) =

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.

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calculator/magnet_cylindrical.txt · Last modified: 2023/10/15 18:21 by stan_zurek

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