Magnetic Field in a Single Current Coil

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  • #1
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Main Question or Discussion Point

I understand that the magnetic field in a solenoid can be approximated as being constant as the length of the solenoid tends to infinity, but I was wondering if anyone could show me or point me in the direction of a derivation of the precise magnetic field at any point within a single loop of current. The magnetic field at any point along an axis perpendicular to the coil running through its centre can be determined, is there a solution to the field at any point in the plane of the coil. I wrote the problem down and got an integral that looked pretty hard, and I couldn't figure out a way to solve it. Any help would be appreciated.
Thanks.
 

Answers and Replies

  • #2
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Did you try the biot-savart law ? It might work
 
  • #3
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I did, but you get this really tricky integral. I was wondering if there might be a smarter way to do it than brute force.
 
  • #4
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