Magnetic field of an infinite wire

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SUMMARY

The discussion focuses on calculating the magnetic field generated by an infinite wire carrying current, utilizing the Biot–Savart Law. The user seeks clarification on transitioning from their derived equation (green) to the provided solution (red). Participants suggest that the user may have made an error in integration and recommend using standard integral techniques for evaluation. The conversation emphasizes the importance of accurate integration in deriving magnetic field equations.

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  • Understanding of the Biot–Savart Law
  • Knowledge of magnetic fields generated by current-carrying conductors
  • Proficiency in calculus, specifically integration techniques
  • Familiarity with standard integral forms
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  • Review the derivation of the Biot–Savart Law
  • Practice solving magnetic field problems involving infinite wires
  • Learn advanced integration techniques relevant to physics
  • Explore applications of magnetic fields in electromagnetism
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Students studying electromagnetism, physics enthusiasts, and educators looking to deepen their understanding of magnetic fields and integration methods in physics problems.

asi123
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Homework Statement



Hey guys.
So I've got a current which goes through an infinite wire and I need to find the magnetic field which is caused by the wire at point P.
I used the Biot–Savart Law and in the picture you can see what I came up with (sorry, no scanner today, I had to do it the short way :smile:).
So, my question is, how am I suppose to get from the green equation to the red one? I took the red equation from their answers.
Am I missing something?

Thanks.


Homework Equations





The Attempt at a Solution

 

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You might want to recheck the Green equation, it seems that you did not integrate correctly.
 
Hootenanny said:
You might want to recheck the Green equation, it seems that you did not integrate correctly.

Ops, my bag, how am I suppose to integrate it? :blushing:
 
asi123 said:
Ops, my bag, how am I suppose to integrate it? :blushing:
No problem. That integral looks almost like a standard integral and can be evaluated using the same substitution as you would use for the standard integral... :wink:
 

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