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calculator:magnetic_field_of_straight_conductor

Calculator of magnetic field of a straight round conductor

Stan Zurek, Calculator of magnetic field of a straight round conductor, Encyclopedia Magnetica,
http://www.e-magnetica.pl/doku.php/calculator/magnetic_field_of_straight_conductor, {accessed: 2025-02-19}
Magnetic field around a straight round wire or conductor
Source: [1] Nicola A. Spaldin, Magnetic Materials, Fundamentals and Applications, Second edition, Cambridge University Press, Cambridge, 2011, ISBN 9780521886697
The equations specified here are derived by S. Zurek by following the Ampère's law as described in [1], eq. (1.12), p. 8, but by taking into account the current flowing in the relative area enclosed by the radius under consideration.
$$ H(d) = \frac{I_{tot}·r^2}{2·π·d·R^2} $$ (A/m) Equations are valid inside
as well as outside of the wire
(with certain assumptions)
$$ B(d) = μ_r·μ_0·H(d) $$ (T)
Total current in wire Itot (A) =
Radius of wire R (mm) =
Radius from centre d (mm) =
Relative permeability of wire μr (unitless) =
Relative permeability of surrounding medium μr (unitless) =    
   
H = (A/m)     B =       

Assumptions: current distribution is uniform, permeability is uniform and isotropic, high-frequency effects (radiation and relativistic) are negligibly small, where: $I_{tot}$ - total current (A) in the wire, $r$ - variable radius (m) within the wire from its centre such that $0 \leq r \leq R$ (and $r=d$ within the wire) , $d$ - any positive variable radius (m) from centre of wire, $R$ - outer radius (m) of the wire, $μ_r$ - relative permeability (unitless) of wire or the surrounding medium, and $μ_0$ = 4·π·10-7 H/m is the permeability of vacuum.

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calculator/magnetic_field_of_straight_conductor.txt · Last modified: 2025/01/19 16:17 by stan_zurek

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