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calculator:helmholtz_coil_inductance_simple [2025/01/14 11:01] – stan_zurek | calculator: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 ==== |
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| //[[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@} | |
</WRAP> | | {{/wiki/logo.png?20&nolink}} //See more: [[/Calculators of inductance]]// || |
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| {{/wiki/logo.png?20&nolink}} //See more: [[/Calculators of inductance]].// | | [[/Helmholtz coil]] \\ |
| [[calculator/helmholtz_coil_inductance_simple|{{/helmholtz_coils_magnetica.png}}]] |
{{page>insert/calc}} | {{page>insert/by_SZ}} |
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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. |
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^ 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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[[/Helmholtz coil]] \\ | |
[[calculator/helmholtz_coil_inductance_simple|{{/helmholtz_coils_magnetica.png}}]] | |
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<HTML> | <HTML> |
<br><br> | <br><br> |
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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 ============== --> |
</HTML> | </HTML> |
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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.// | //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}} |