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**1. A simple magnetic field configuration is given by [tex]\vec{B}=ax\hat{y}+by\hat{x}[/tex]**. What is the current in this system? Assume that a and b are constant.

**2. Maxwells equations.**

3. I'm not exactly sure what is being asked here. Off the top of my head I would like to say the answer is [tex]\vec{E}=ay\hat{y}+bx\hat{x}[/tex] as B fields are at 90 degrees to E fields, so you simply swap over the X and Y. But this doesn't give you current, rather the E-field.... confused.

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