B What Happens in a Uniform Magnetic Field: The Stern-Gerlach Experiment

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In a uniform magnetic field, the Stern-Gerlach experiment would not result in the splitting of a particle beam. This is because the force acting on magnetic dipoles is dependent on the gradient of the magnetic field. Without a gradient, a uniform field exerts no net force on the dipoles. Mathematically, this can be expressed as the force being proportional to the field's gradient. Therefore, a uniform magnetic field fails to produce the observable effects seen in the experiment.
nirmali
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What effect the magnetic field would have produced had it been uniform?
 
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But what if we were to answer it mathematically?
 
We would say the force on the dipoles is proportional to the gradient of the field and so a uniform field doesn't exert a force on the dipoles.
 
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