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calculator:inductance_of_gapped_inductor [2025/01/05 19:57] stan_zurekcalculator:inductance_of_gapped_inductor [2025/01/19 01:03] (current) stan_zurek
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 ==== Calculator of inductance of a gapped inductor ==== ==== Calculator of inductance of a gapped inductor ====
  
-{{page>insert/calc}}+<box 100% #efffef> 
 +|< 100% 10% 90% >| 
 +|  {{/calculator/icon_calc.png?60&nolink}}  | //[[user/Stan Zurek]], Calculator of inductance of a gapped inductor, Encyclopedia Magnetica//, \\ @PAGEL@, {accessed: @YEAR@-@MONTH@-@DAY@} | 
 +|  {{/wiki/logo.png?20&nolink}} //See more: [[/Calculators of inductance]]//  || 
 +</box>
  
-<WRAP lo right>//[[https://e-magnetica.pl/calculator/inductance_of_gapped_inductor|[open]]]//</WRAP>+ 
 +<box 30% right #f0f0f0> 
 +Idealised gapped magnetic core 
 +[[/file/Air gap diagram_png|{{/Air gap diagram.png?200}}]] 
 +{{page>insert/by_SZ}} 
 +</box>
  
 For a simple [[/gapped inductor]], with a [[/magnetic circuit]] with a uniform [[/cross-sectional area]] throughout the whole magnetic path, the value of [[/inductance]] //L// can be calculated from the following equation: For a simple [[/gapped inductor]], with a [[/magnetic circuit]] with a uniform [[/cross-sectional area]] throughout the whole magnetic path, the value of [[/inductance]] //L// can be calculated from the following equation:
  
-| $$ L = \frac{μ_0 ⋅ N^2 ⋅ A}{ l_{gap} } $$  |  (H)  |+^  [[/Inductance]] of a [[/gapped inductor]]  ^^^ 
 +//Source: [1] [[https://isbnsearch.org/isbn/0824753933|Colonel Wm. T. McLyman, Transformer and inductor design handbook, 3rd ed., Marcel Dekker, New York, 2004, ISBN 0824753933]]//  ||| 
 +|  //[1], eq. (8.10), chapter 8//  |  $$ L = \frac{μ_0 ⋅ N^2 ⋅ A}{ l_{gap} } $$  |  (H)  
 +| where: $μ_0$ - [[/permeability of vacuum]] (H/m), $N$ - [[/number of turns]] (unitless), $A$ - [[cross-sectional area]] of the core (m<sup>2</sup), $l_{gap}$ - length of [[/air gap]] (m)  |||
  
----- 
 <HTML> <HTML>
 <!-- ==================== calculator starts here ============== --> <!-- ==================== calculator starts here ============== -->
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 //Note: The equation is valid only for a simple magnetic circuit, with cross-sectional area of the core and gap being equal, and if l<sub>core</sub> >> l<sub>gap</sub>, and µ<sub>core</sub> >> 1.// //Note: The equation is valid only for a simple magnetic circuit, with cross-sectional area of the core and gap being equal, and if l<sub>core</sub> >> l<sub>gap</sub>, and µ<sub>core</sub> >> 1.//
  
-----+<box 100% #efffef>↑</box> 
 +{{page>insert/paypal}}
  
-{{tag>Calculators Permeability}}+{{tag>Calculators Permeability Gapped_magnetic_core Inductance}}
calculator/inductance_of_gapped_inductor.1736103450.txt.gz · Last modified: 2025/01/05 19:57 by stan_zurek

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