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This script calculates the force and torque acting between several axially magnetized cylinders, arbitrarily positioned in 3D space.

Calculation is based on the discretization of the prismatic surface by user-defined number of divisions, and numerical integration of the surface integrals using the formulas:
**F** = 0.5 ∫(**H**(**B**·**n**) + **B**(**H**·**n**) - **n**(**H**·**B**))*ds*
**T** = 0.5 ∫([**r**x**H**](**B**·**n**) + [**r**x**B**](**H**·**n**) - [**r**x**n**](**H**·**B**))*ds*,

where **F** and **T** are vectors of the magnetic force and torque,
**r** and **n** are the radius vector and the normal vector to the surface element,
**B** and **H** are the flux density and strength vectors of the combined magnetic field.

Script allows to combine the field of up to 5 magnetized cylinders. Input parameters of the script are the fields marked yellow on the sheet *UI* of the Excel document. Output results are displayed in the fields marked blue on the same sheet.

Simulation examples:

Magnetic forces between two axially magnetized cylinders. Case 1: Cylinders are coaxial,

Magnetic forces between two axially magnetized cylinders. Case 2: Cylinder axes are parallel,

Magnetic forces between two axially magnetized cylinders. Case 3: Cylinder axes are orthogonal.