{"inputs":{"diameterMm":25,"lengthMm":100,"turns":1,"currentA":1,"slug":"25x100mm"},"result":{"spec":{"diameterMm":25,"lengthMm":100},"turns":1,"currentA":1,"ampTurns":1,"dims":{"diameterM":0.025,"lengthM":0.1,"radiusM":0.0125},"aspectRatio":4,"centreFieldT":0.000012191170205567238,"centreFieldPerAmpTurnT":0.000012191170205567238,"infiniteApproxPerAmpTurnT":0.000012566370614359172,"infiniteOverstatement":0.030776406404415146,"endFieldRatio":0.5114083119567588,"uniformSpans":[{"tolerance":0.01,"spanMm":32.165207824350354,"fractionOfLength":0.3216520782435035},{"tolerance":0.05,"spanMm":58.704366536070275,"fractionOfLength":0.5870436653607027}],"profile":[{"zMm":0,"fieldT":0.000012191170205567236,"ofCentre":0.9999999999999999,"isMouth":false},{"zMm":12.5,"fieldT":0.00001212192305348308,"ofCentre":0.9943198929293485,"isMouth":false},{"zMm":25,"fieldT":0.000011817547594145925,"ofCentre":0.9693530149180679,"isMouth":false},{"zMm":37.50000000000001,"fieldT":0.000010662919051580076,"ofCentre":0.8746427842267949,"isMouth":false},{"zMm":50,"fieldT":0.000006234665775606674,"ofCentre":0.5114083119567588,"isMouth":true},{"zMm":75.00000000000001,"fieldT":6.32151268792083e-7,"ofCentre":0.05185320671705525,"isMouth":false},{"zMm":100,"fieldT":1.6589656335274912e-7,"ofCentre":0.013607927750610073,"isMouth":false},{"zMm":150.00000000000003,"fieldT":3.628352130971204e-8,"ofCentre":0.0029762131688673126,"isMouth":false}],"workingPoints":[{"ampTurns":100,"fieldT":0.0012191170205567239},{"ampTurns":500,"fieldT":0.006095585102783619},{"ampTurns":1000,"fieldT":0.012191170205567238},{"ampTurns":5000,"fieldT":0.06095585102783619}],"sheetFloor":{"turns":9,"relativeErrorAtFloor":0.006487905915032137,"verifiedTo":27},"mirror":{"diameterMm":100,"lengthMm":25}},"provenance":{"method":"Current-sheet solenoid solved in closed form, B(z) = (mu0*n*I/2)*[(L/2-z)/sqrt(R^2+(L/2-z)^2) + (L/2+z)/sqrt(R^2+(L/2+z)^2)], which at the centre reduces to mu0*N*I/sqrt(L^2+D^2). Air core (mu_r = 1), single layer, on-axis only. The turn-count floor below which the closed form is more than 1% from a real discrete winding is measured against an independent Biot-Savart sum over the individual turns, not against a rearrangement of the same formula. Pure mathematics - nothing is fetched and nothing is recalled.","canonicalUrl":"https://makerportal.ai/lab/solenoid/25x100mm"},"license":"free-with-attribution"}