Differences

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

--- calculator:helmholtz_coil_inductance_simple [2025/01/14 11:17] – stan_zurek
+++ calculator:helmholtz_coil_inductance_simple [2025/01/19 00:45] (current) – stan_zurek
@@ Line 1: / Line 1: @@
 ==== Calculator of Helmholtz coil inductance - simplified ====
-<box 100% #e8ffff>
+<box 100% #efffef>
-|< 100% 20% 80% >|
+|< 100% 10% 90% >|
-|  {{/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>
-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]] \\
 [[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.
+<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>
@@ Line 78: / Line 81: @@
 <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">
@@ Line 86: / Line 91: @@
            <OPTION value="1e3" selected="selected">(mH)</OPTION>
            <OPTION value="1e6">(μH)</OPTION>
-        </SELECT><br>
+        </SELECT> (two halves in series)
  </form>
@@ Line 94: / Line 99: @@
 <!-- ==================== calculator ends here ============== -->
 </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}}