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calculator:inductance_of_straight_round_magnetic_wire [2025/01/13 22:39] stan_zurekcalculator: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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-| //[[user/Stan Zurek]], Calculator of inductance of a straight round magnetic wire, Encyclopedia Magnetica//, \\ @PAGEL@, {accessed: @YEAR@-@MONTH@-@DAY@} +|< 100% 10% 90% >| 
- +|  {{/calculator/icon_calc.png?60&nolink}}  | //[[user/Stan Zurek]], Calculator of inductance of a straight round magnetic wire, Encyclopedia Magnetica//, \\ https://www.e-magnetica.pl/doku.php/calculator/inductance_of_straight_round_magnetic_wire, {accessed: @YEAR@-@MONTH@-@DAY@} | 
-|< 100% >+ {{/wiki/logo.png?20&nolink}} //See more: [[/Calculators of inductance]]//  |
-| {{/wiki/logo.png?20&nolink}} //See more: [[/Calculators of inductance]].// | +</box>
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-[[/Inductance]] of a [[/straight wire]] or conductor made from [[/magnetic material]] with round (circular) cross-section can be calculated withe the equation as specified below. +[[/Inductance]] of a [[/straight wire]] or conductor made from [[/magnetic material]] with round (circular) cross-section can be calculated with the the equation as specified below. 
  
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-<b><i>L</i></b> = <input type="text" name="result1" size="10" maxlength="10"> +<b><i>L<sub>DC</sub></i></b> = <input type="text" name="result1" size="10" maxlength="10"> 
           <SELECT name="result1_unit" onChange="calculate_function(this.form)">           <SELECT name="result1_unit" onChange="calculate_function(this.form)">
            <OPTION value="1">(H)</OPTION>            <OPTION value="1">(H)</OPTION>
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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 errors might be excessive. 3) The surrounding medium is assumed to be non-magnetic (μ<sub>r</sub> = 1). 4) The current is uniformly distributed inside the wire (no [[/skin effect]]). 5) The equations were converted here to be consistent with [[/SI units]].//+//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 the errors might be excessive. 3) The surrounding medium is assumed to be non-magnetic (μ<sub>r</sub> = 1). 4) The current is uniformly distributed inside the wire (no [[/skin effect]]). 5) The equations were converted here to be consistent with [[/SI units]].//
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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: Working Formulas and Tables, ISA, New York, 1982, ISBN 0876645570//  ^^^+^  Inductance of a straight round magnetic wire or conductor  ^^^ 
 +// 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: Working Formulas and Tables, ISA, New York, 1982, ISBN 0876645570//  |||
 |  **(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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-{{tag>Calculators Inductance_of_straight_wire Inductance_of_straight_conductor}}+<box 100% #efffef>↑</box> 
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calculator/inductance_of_straight_round_magnetic_wire.1736804390.txt.gz · Last modified: 2025/01/13 22:39 by stan_zurek

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