LC circuit in external static magnetic field

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Fek
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Homework Statement


What effect would placing an LC circuit in a steady magnetic field have have on its resonant frequency? The inductor contains a paramagnet. This is asked about at very low temperature.

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The Attempt at a Solution


Apart from initial changes due to Lenz's Law when the field is switched on I can't see what effect it would have. At a very low temperature is it possible to saturate the paramagnet, altering the susceptibility and thus the induction and resonance?
 
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