Compass Needle in Uniform and Rotating Magnetic Fields
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A compass needle undergoes forced oscillations under the influence of a uniform magnetic field and a rotating magnetic field with angular velocity (black arrow). The compass needle has a moment of inertia , a friction constant , and a magnetic moment ℳ. This is a simple example of a system that shows chaotic motion. In a real experiment it is impossible to repeat a particular motion from initial conditions and because the system is chaotic.
Contributed by: Enrique Zeleny (March 2011)
Open content licensed under CC BY-NC-SA
The differential equation to solve is .