calculator:inductance_of_straight_round_magnetic_wire
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calculator:inductance_of_straight_round_magnetic_wire [2025/01/13 22:39] – stan_zurek | calculator:inductance_of_straight_round_magnetic_wire [2025/02/08 16:32] (current) – stan_zurek | ||
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==== Calculator of inductance of a straight round magnetic wire ==== | ==== Calculator of inductance of a straight round magnetic wire ==== | ||
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- | //Note: Several assumptions are made for all these equations: 1) The return path is **not** considered so the total inductance of the complete circuit can be significantly different. 2) The length of the wire is assumed to be significantly longer than it radius (r << l), and for r ≈ l the calculation | + | //Note: Several assumptions are made for all these equations: 1) The return path is **not** considered so the total inductance of the complete circuit can be significantly different. 2) The length of the wire is assumed to be significantly longer than it radius (r << l), otherwise |
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- | ^ // Sources: [1] Edward B. Rosa, The self and mutual inductance of linear conductors, Department of Commerce and Labor, Bulletin of the Bureau of Standards, Volume 4, 1907-8, Washington, 1908, \\ [2] F.W. Grover, Inductance Calculations: | + | ^ |
+ | | // Sources: [1] Edward B. Rosa, The self and mutual inductance of linear conductors, Department of Commerce and Labor, Bulletin of the Bureau of Standards, Volume 4, 1907-8, Washington, 1908, \\ [2] F.W. Grover, Inductance Calculations: | ||
| **(1)** \\ //[1] Rosa, eq. (11), p. 305// \\ and //[2] Grover, eq. (8), p. 35// | $$ L = \frac{μ_0 ⋅ l}{2⋅π}⋅\left( ln \left( \frac{2⋅l}{r} \right) - 1 + \frac{μ_r}{4} \right) $$ | (H) | | | **(1)** \\ //[1] Rosa, eq. (11), p. 305// \\ and //[2] Grover, eq. (8), p. 35// | $$ L = \frac{μ_0 ⋅ l}{2⋅π}⋅\left( ln \left( \frac{2⋅l}{r} \right) - 1 + \frac{μ_r}{4} \right) $$ | (H) | | ||
| where: $μ_0$ - [[/magnetic permeability of vacuum]] (H/m), $l$ - wire length (m), $r$ - wire radius (m), $μ_r$ - [[/relative magnetic permeability]] of the wire (unitless) | | where: $μ_0$ - [[/magnetic permeability of vacuum]] (H/m), $l$ - wire length (m), $r$ - wire radius (m), $μ_r$ - [[/relative magnetic permeability]] of the wire (unitless) | ||
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calculator/inductance_of_straight_round_magnetic_wire.1736804390.txt.gz · Last modified: 2025/01/13 22:39 by stan_zurek