(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

How large externally applied magnetic filed ([itex]B_{0}[/itex]) is necessary in otder for 51% of the metal ions in CuSO([itex]_{4}[/itex]) to have their magnetic moments oriented in the same direction as the applied field when the salt is kep at room temperature?

2. Relevant equations

[itex]B=\mu_{0}(H+M)[/itex]

[itex]\chi=\frac{N}{V}\frac{(p\mu_{B})^{2}\mu_{0}}{3k_{B}T}[/itex]

3. The attempt at a solution

rearanging the relation

As i understand it i want

[itex]M=0,51H[/itex]

then, using

[itex]\chi B_{0}=\mu_{0}M[/itex]

i find that

[itex]\chi=0,51[/itex]

But [itex]\chi[/itex] is, as i understand it, independent on applied magnetic field [itex]B_{0}[/itex] so this reasoning can't be right. However i fail to see what i'm missing.

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# Magnetic moment due to applied external magnetic field

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