calculator:current_loop_rectangular_axis
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| calculator:current_loop_rectangular_axis [2025/01/13 23:30] – stan_zurek | calculator:current_loop_rectangular_axis [2025/01/18 23:01] (current) – stan_zurek | ||
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| ==== Calculator of H along axis of rectangular current loop ==== | ==== Calculator of H along axis of rectangular current loop ==== | ||
| - | |< 100% >| | + | <box 100% # |
| - | | // | + | |< 100% 10% 90% >| |
| - | + | | {{/ | |
| - | {{page>insert/ | + | </box> |
| - | < | + | < |
| [[/ | [[/ | ||
| [[file/ | [[file/ | ||
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| ^ [[/Magnetic field strength]] //H// of rectangular [[/current loop]] along its axis ^^ | ^ [[/Magnetic field strength]] //H// of rectangular [[/current loop]] along its axis ^^ | ||
| + | | //Source: [1] [[https:// | ||
| + | | //[1], eq. (4.6), p. 108 (converted by [[/ | ||
| | $$ H(t,x) = I(t)· \frac{2}{π}·\frac{a·b}{\sqrt{4·x^2 + a^2 + b^2} }·\left(\frac{1}{4·x^2 + a^2} + \frac{1}{4·x^2 + b^2} \right) $$ | (A/m) | | | $$ H(t,x) = I(t)· \frac{2}{π}·\frac{a·b}{\sqrt{4·x^2 + a^2 + b^2} }·\left(\frac{1}{4·x^2 + a^2} + \frac{1}{4·x^2 + b^2} \right) $$ | (A/m) | | ||
| | where: $I(t)$ - current (A) at time $t$ (s), $a$ and $b$ - length of sides of the rectangular loop (m), $x$ - location (m) from the centre of the loop (the centre is located at point //x// = 0); assuming infinitely thin wire and a rectangular loop placed in a [[/ | | where: $I(t)$ - current (A) at time $t$ (s), $a$ and $b$ - length of sides of the rectangular loop (m), $x$ - location (m) from the centre of the loop (the centre is located at point //x// = 0); assuming infinitely thin wire and a rectangular loop placed in a [[/ | ||
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| // calculate the main function | // calculate the main function | ||
| - | result1 = current * (2/pi) * a * b / Math.pow((4*x*x + a*a + b*b),0.5) * (1/(4*x*x + a*a) + 1/(4*x*x + b*b)) | + | result1 = current * 2 * a * b / Math.pow( (4*x*x + a*a + b*b),0.5) * ( 1/(4*x*x + a*a) + 1/(4*x*x + b*b) ) /pi |
| // format number to x digits precision, otherwise result will equal 5.611e+2 | // format number to x digits precision, otherwise result will equal 5.611e+2 | ||
| - | result1 = result1.toPrecision(4) | + | result1 = result1.toPrecision(5) |
| // display result | // display result | ||
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| </ | </ | ||
| - | <WRAP lo right>// | + | <box 100% #efffef>↑</box> |
| - | + | {{page> | |
| - | ---- | + | |
| {{tag> | {{tag> | ||
calculator/current_loop_rectangular_axis.1736807435.txt.gz · Last modified: 2025/01/13 23:30 by stan_zurek