Archimedes Spiral Magnetic Field Calculator | Biot-Savart Law Calculation

The model is a planar Archimedean spiral in the XY plane defined by r(t) = a + s·t/(2π). t is the angular parameter, a is the initial radius, s is the distance between turns, r(t) is the radial function. The magnetic field is computed using the Biot–Savart–Laplace law. The calculation reduces to a single integral over t, evaluated numerically using Simpson’s method.

About this calculator Click to expand

This calculator computes the magnetic field produced by a planar Archimedes spiral carrying electric current. The solution is based on numerical integration of the Biot–Savart–Laplace law.

Units: All calculations are performed in the Gaussian (CGS) system.
sm
sm
rad
rad
Even number for Simpson’s rule.
Move the field source
sm
sm
sm
Observation point
Archimedes Spiral Model
Planar spiral in the XY plane
Archimedes spiral current path model: planar spiral in the XY plane

A flat Archimedean spiral located at the origin; the current flows counterclockwise.


Feedback

Tell us what works, what’s missing, or what you’d like to improve on this page.

ArchimedesSpiral
Helps us triage your feedback faster.
(1 = poor, 5 = excellent)
Max 3000 characters.