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Question about magnetic field gradients

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I am trying to calculate the magnetic field gradient for an anti-Helmholtz configuration. All the equations I have seen simply relate the strength of the gradient to some rudimentary variables (coil radius, separation distance of coils, etc.) but I am also interested in incorporating the thickness of the coil wire itself (especially considering the effect of resistance and great power that will heat up the coil). This is important for my choice and dimensions of coil. Does anybody know what kind of equation would include the latter properties?

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