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| calculator:helmholtz_coil_inductance_simple [2025/01/15 16:02] – stan_zurek | calculator:helmholtz_coil_inductance_simple [2025/01/19 00:45] (current) – stan_zurek |
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| | {{/calculator/icon_calc.png?45&nolink}} \\ //This section is an interactive calculator// | //[[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]]// || |
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| <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> |
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| <input type="button" name="Button" value="== Calculate ==" onClick="calculate_function2(this.form)"> | <input type="button" name="Button" value="== Calculate ==" onClick="calculate_function2(this.form)"> |
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| <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"> |
| <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) |
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| </form> | </form> |
| <!-- ==================== calculator ends here ============== --> | <!-- ==================== calculator ends here ============== --> |
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| //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).// | //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).// |
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| {{tag>Calculators Helmholtz_coil Inductance}} | {{tag>Calculators Helmholtz_coil Inductance}} |
