solenoidField
Solve the on-axis magnetic field of an air-core solenoid.
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Solve the on-axis magnetic field of an air-core solenoid.
The identical function that renders /lab/solenoid/{diameter}x{length}mm. Returns the centre field per amp-turn and at the requested turns and current, the on-axis profile out to three half-lengths, the span over which the field holds to within 1% and 5% of its centre value, the field at the coil mouth as a fraction of the centre, how far the infinite-solenoid shortcut mu0*n*I overstates the answer, and the turn count below which the closed form should not be used on this geometry. Dimensions are in millimetres. The field is exactly linear in turns x current, so only that product changes the answer.
Every result carries provenance.canonicalUrl — the published page for these exact inputs, or the lane hub when they are off the published grid.
Input schema
| Property | Type | Required | Description |
|---|---|---|---|
| diameter | number | yes | Mean winding diameter in millimetres. |
| length | number | yes | Winding length along the axis, in millimetres. |
| turns | integer | no | Number of turns. Defaults to 1, which is what the published pages state (their figures are per amp-turn). The field is exactly linear in turns x current. |
| current | number | no | Winding current in amperes. Defaults to 1. Only the product of turns and current changes the answer. |
Raw JSON schema
{
"type": "object",
"properties": {
"diameter": {
"type": "number",
"minimum": 0.1,
"maximum": 2000,
"description": "Mean winding diameter in millimetres."
},
"length": {
"type": "number",
"minimum": 0.1,
"maximum": 5000,
"description": "Winding length along the axis, in millimetres."
},
"turns": {
"type": "integer",
"minimum": 1,
"maximum": 1000000,
"default": 1,
"description": "Number of turns. Defaults to 1, which is what the published pages state (their figures are per amp-turn). The field is exactly linear in turns x current."
},
"current": {
"type": "number",
"minimum": 0.000001,
"maximum": 10000,
"default": 1,
"description": "Winding current in amperes. Defaults to 1. Only the product of turns and current changes the answer."
}
},
"required": [
"diameter",
"length"
],
"additionalProperties": false
}