Question about magnetic field gradients

[Void123]

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?

 

[kuruman]

Usually, the dimensions of the coil are dictated by the working volume needed for your application. The first questions you need to ask is how strong a field you need and what kind of gradient must it have over what volume. Once you answer these questions, then you will have a good idea of the current requirements. You can calculate how hot the windings might get given that current and then worry about the size of wire you need and the whether you should figure out a way to cool the coil.