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Compass Needle in Uniform and Rotating Magnetic Fields

​
view
experiment
time t
50.
ℐ
2.33
f
2.87
ℳ
2.76
B
1
1.54
B
2
1.9
ω
0
1.
θ
0
0.49
θ
0
-0.53
A compass needle undergoes forced oscillations under the influence of a uniform magnetic field
B
1
and a rotating magnetic field
B
2
with angular velocity
ω
0
(black arrow). The compass needle has a moment of inertia
ℐ
, a friction constant
f
, 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
θ
0
and
θ
0
because the system is chaotic.
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