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calculator:helmholtz_coil_inductance_simple [2025/01/14 11:17] stan_zurekcalculator:helmholtz_coil_inductance_simple [2025/01/19 00:45] (current) stan_zurek
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 ==== Calculator of Helmholtz coil inductance - simplified ==== ==== Calculator of Helmholtz coil inductance - simplified ====
  
-<box 100% #e8ffff+<box 100% #efffef
-|< 100% 2080% >| +|< 100% 1090% >| 
-|  {{/calculator/icon_calc.png?50&nolink}} \\ //This section is an interactive calculator[[/insert/calc?do=edit|.]]//  | //[[user/Stan Zurek]], Calculator of Helmholtz coil inductance - simplified, Encyclopedia Magnetica//, \\ https://www.e-magnetica.pl/doku.php/calculator/helmholtz_coil_inductance_simple, {accessed: @YEAR@-@MONTH@-@DAY@}   | +|  {{/calculator/icon_calc.png?60&nolink}}  | //[[user/Stan Zurek]], Calculator of Helmholtz coil inductance - simplified, Encyclopedia Magnetica//, \\ https://www.e-magnetica.pl/doku.php/calculator/helmholtz_coil_inductance_simple, {accessed: @YEAR@-@MONTH@-@DAY@}   | 
-|  :::  | {{/wiki/logo.png?20&nolink}} //See more: [[/Calculators of inductance]].// |+|  {{/wiki/logo.png?20&nolink}} //See more: [[/Calculators of inductance]]//  ||
 </box> </box>
  
-An approximate value of the [[/inductance]] of a [[/Helmholtz coil]] can be estimated with this following equation. 
- 
-<WRAP lo> 
-^   Approximate inductance of Helmholtz coil (two halves connected in series)  ^^ 
-|  $$ L \approx 2 · π· \left( \frac{4}{5} \right)^{3/2} · μ_0 · r · N_{half}^2  $$  |  (H)  | 
-| where: $N_{half}$ - number of turns in each half-coil (unitless), $r$ - radius of the coils (m) measured to the centre of the bunch of wires, $μ_0$ - [[/permeability of vacuum]] (H/m)  || 
-| //source: [[https://isbnsearch.org/isbn/9789813347816|Yuan Jiang, Qing Li, Vacuum Circuit Breaker for Aviation Variable Frequency Power System, Theory and Application of Arc in Electrical Apparatus, Springer Nature, 2021, ISBN 9789813347816]]//  || 
-</WRAP> 
  
-<box 15% right #f0f0f0>+<box 20% right #f0f0f0>
 [[/Helmholtz coil]] \\  [[/Helmholtz coil]] \\ 
 [[calculator/helmholtz_coil_inductance_simple|{{/helmholtz_coils_magnetica.png}}]] [[calculator/helmholtz_coil_inductance_simple|{{/helmholtz_coils_magnetica.png}}]]
 {{page>insert/by_SZ}} {{page>insert/by_SZ}}
 </box> </box>
 +
 +An approximate value of the [[/inductance]] of a [[/Helmholtz coil]] can be estimated with this following equation.
 +
 +
 +<WRAP lo>
 +^   Approximate inductance of Helmholtz coil (two halves connected in series)  ^^^
 +| //Source: [1] [[https://isbnsearch.org/isbn/9789813347816|Yuan Jiang, Qing Li, Vacuum Circuit Breaker for Aviation Variable Frequency Power System, Theory and Application of Arc in Electrical Apparatus, Springer Nature, 2021, ISBN 9789813347816]]//  |||
 +|  //[1], eq. (2.8), p. 38//  |  $$ L \approx 2 · π· \left( \frac{4}{5} \right)^{3/2} · μ_0 · r · N_{half}^2  $$  |  (H)  |
 +| where: $N_{half}$ - number of turns in each half-coil (unitless), $r$ - radius of the coils (m) measured to the centre of the bunch of wires, $μ_0$ - [[/permeability of vacuum]] (H/m)  |||
 +</WRAP>
 +
  
 <HTML> <HTML>
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 <br><br> <br><br>
    
-<input type="button" name="Button" value="Calculate" onClick="calculate_function2(this.form)"> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; +<input type="button" name="Button" value="== Calculate ==" onClick="calculate_function2(this.form)"> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  
 + 
 +<br><br>
  
 <b><i>Helmholtz coil inductance L</i></b> = <input type="text" name="result2" size="10" maxlength="10">  <b><i>Helmholtz coil inductance L</i></b> = <input type="text" name="result2" size="10" maxlength="10"> 
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            <OPTION value="1e3" selected="selected">(mH)</OPTION>            <OPTION value="1e3" selected="selected">(mH)</OPTION>
            <OPTION value="1e6">(μH)</OPTION>            <OPTION value="1e6">(μH)</OPTION>
-        </SELECT><br>+        </SELECT> (two halves in series)
  
  </form>  </form>
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 <!-- ==================== calculator ends here ============== --> <!-- ==================== calculator ends here ============== -->
 </HTML> </HTML>
- \\  
  
-//Note: The equation ignores the size/diameter of the wire bunches in each coil and therefore gives only an approximate value.//+//Note: The equation ignores the size/diameter of the wire bunches in each coil and therefore gives only an approximate value (an order of magnitude).// 
  
----- +<box 100% #efffef>↑</box> 
-----+{{page>insert/paypal}}
  
 {{tag>Calculators Helmholtz_coil Inductance}} {{tag>Calculators Helmholtz_coil Inductance}}
calculator/helmholtz_coil_inductance_simple.1736849847.txt.gz · Last modified: 2025/01/14 11:17 by stan_zurek

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