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If I have two antiparallel wires with the same current at distance $2a$ apart from each other, how would I go about modeling the magnetic field in between the wires? I know the fields will add but I'm wanting to derive an expression for for the total field at different points in-between the wires.

This isn't a homework problem but the thought of deriving such an expression did come to me from a homework problem where I needed to find the field in the middle of two wires.

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  • $\begingroup$ Welcome to Physics Stack Exchange! This is a well presented question, good job! Note that this site supports mathjax for mathematical expressions. Also note that homework-like questions should include an explanation of what you have tried and a precise statement of where you are stuck. $\endgroup$ – DanielSank Oct 13 '15 at 5:26
  • $\begingroup$ You have answered your own question - you know that you can add the field due to each wire. $\endgroup$ – ProfRob Oct 13 '15 at 6:35
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Use right hand thumb rule to calculate this. By bio-savart law, we det dB =Ki(dl * r)/$r^3$ . so in both the cases the cross product gives a downward dB. (See the picture)enter image description here

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