I think you need to write a lot more. When I see \$\lt 5\:\mu\text{T}\$ (earth's field is 10X that) written down as casually as one might write a whim, without much else said and nothing at all about the electromagnet structure and the location of the specific area and the reasons why, it's usually time to walk away and find someone else to work with -- my experience, anyway. That you can't see the problems with this simulation of ideal current sources and ideal voltage sources? Another reason. I still may enjoy and learn from answers I see.
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