Helix Magnetic Field Calculator | Biot-Savart Law Calculation

The current path is represented as a helical curve described by the following parametric equations: 𝑥=𝑟*cos(𝑡), 𝑦=𝑟*sin(𝑡), 𝑧=𝑘*𝑟*𝑡 where: r is the radius, t is the angular parameter, k is the tangent of the helix pitch angle relative to the base of the cylinder on which the spiral is wound (analogous to y = kx). If k > 0, the helix is right-handed.If k < 0, the helix is left-handed. If k = 0, the helix degenerates into a circular loop. The magnetic field is computed using the Biot–Savart–Laplace law. The calculation is reduced to a single integral, which is evaluated using the Simpson method.

Units: All calculations are performed in the Gaussian (CGS) system.

CurrentI

Radius

sm

K

tangent of the angle of inclination.

TStart

rad

TEnd

rad

Steps

Even number for Simpson's rule.

Move the field source

MoveX

sm

MoveY

sm

MoveZ

sm

Observation point

X

Y

Z

Calculate Clear All Reset Defaults

Helix Model

Current-carrying helical curve, axis along z

Helical current curve with axis along z. For k > 0 the helix is right-handed; For k < 0 the helix is left-handed.