User Tools

Site Tools


calculator:helmholtz_coil_inductance_simple

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revisionPrevious revision
Next revision
Previous revision
calculator:helmholtz_coil_inductance_simple [2025/01/13 22:44] stan_zurekcalculator:helmholtz_coil_inductance_simple [2025/01/19 00:45] (current) stan_zurek
Line 1: Line 1:
 ==== Calculator of Helmholtz coil inductance - simplified ==== ==== Calculator of Helmholtz coil inductance - simplified ====
  
-|< 100% >| +<box 100% #efffef> 
-| {{/wiki/logo.png?20&nolink}} //See more: [[/Calculators of inductance]].// |+|< 100% 10% 90% >| 
 + {{/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]]//  |
 +</box>
  
-{{page>insert/calc}} 
  
-<WRAP lo right>//[[https://www.e-magnetica.pl/doku.php/calculator/helmholtz_coil_inductance|[open]]]//</WRAP>+<box 20% right #f0f0f0> 
 +[[/Helmholtz coil]] \\  
 +[[calculator/helmholtz_coil_inductance_simple|{{/helmholtz_coils_magnetica.png}}]] 
 +{{page>insert/by_SZ}} 
 +</box>
  
 An approximate value of the [[/inductance]] of a [[/Helmholtz coil]] can be estimated with this following equation. An approximate value of the [[/inductance]] of a [[/Helmholtz coil]] can be estimated with this following equation.
 +
  
 <WRAP lo> <WRAP lo>
-^   Approximate inductance of Helmholtz coil (two halves connected in series)  ^^ +^   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)  | +| //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]]//  ||| 
-| 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)  |+|  //[1], eq. (2.8), p. 38//  |  $$ L \approx 2 · π· \left( \frac{4}{5} \right)^{3/2} · μ_0 · r · N_{half}^2  $$  |  (H)  | 
-| //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]]//  ||+| 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> </WRAP>
  
-<box 15% right #f0f0f0> 
-[[/Helmholtz coil]] \\  
-[[calculator/helmholtz_coil_inductance_simple|{{/helmholtz_coils_magnetica.png}}]] 
-{{page>insert/by_SZ}} 
-</box> 
  
 <HTML> <HTML>
Line 79: Line 81:
 <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"> 
Line 87: Line 91:
            <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>
Line 95: Line 99:
 <!-- ==================== 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.1736804656.txt.gz · Last modified: 2025/01/13 22:44 by stan_zurek

Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International
CC Attribution-Share Alike 4.0 International Donate Powered by PHP Valid HTML5 Valid CSS Driven by DokuWiki
Legal disclaimer: Information provided here is only for educational purposes. Accuracy is not guaranteed or implied. In no event the providers can be held liable to any party for direct, indirect, special, incidental, or consequential damages arising out of the use of this data.

For information on the cookies used on this site refer to Privacy policy and Cookies.