Double Cylinder Magnetic Field Calculator | Biot-Savart Law Calculation

The model is represented as two current-carrying ribbons with opposite current directions, wound into circular loops and nested inside one another. An elementary current element is a circular ribbon of width dh. The magnetic field is computed using the Biot–Savart–Laplace law. The calculation is reduced to a double integral: an integral over the circumference, and an integral over the cylinder height h. One of the integrals has an analytical solution, while the second is evaluated using the Simpson method. This method can be applied to the calculation of solenoids and permanent magnets, which are represented as current ribbons.

About this calculator Click to expand

This calculator models the magnetic field generated by two coaxial cylindrical current ribbons carrying opposite currents. The field is computed using direct Biot–Savart integration in CGS units.

Units: All calculations are performed in the Gaussian (CGS) system.
I/sm
sm
sm
sm
Move the field source
sm
sm
sm
Observation point
Even number for Simpson's rule (e.g. 2000).
Double Cylinder Model
Thick-walled cylinder with opposite surface currents
Double cylinder current model: inner and outer coaxial current ribbons

If CurrentI is positive, then the direction of the currents is as shown in the figure.

Feedback

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

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