How Do You Use Current Balance and Hall Probes in Magnetic Field Measurement?

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Yes, I am a newbie in this forum. I came from Hong Kong... and well, the question is the same as above , What are the precautions of using current balance to measure the constant magnetic flux density? as much as you can.

Moreover, How can a hall probe be used to measure alternating b-field?
 
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plus, can eddy current be measured?
 

Thread 'Number of quantum accessible states of a particle given T, N?'

It's given a gas of particles all identical which has T fixed and spin S. Let's ##g(\epsilon)## the density of orbital states and ##g(\epsilon) = g_0## for ##\forall \epsilon \in [\epsilon_0, \epsilon_1]##, zero otherwise. How to compute the number of accessible quantum states of one particle? This is my attempt, and I suspect that is not good. Let S=0 and then bosons in a system. Simply, if we have the density of orbitals we have to integrate ##g(\epsilon)## and we have...
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