Magnetic field of an infinite wire

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Homework Help Overview

The discussion revolves around finding the magnetic field generated by an infinite wire carrying a current, specifically at a point labeled P. The original poster references the Biot–Savart Law and presents equations related to their calculations.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster seeks clarification on transitioning from one equation to another, questioning whether they have made an error in their integration process. Other participants suggest reviewing the integration step and mention that the integral resembles a standard form.

Discussion Status

The discussion is ongoing, with participants providing hints about the integration process without reaching a consensus. There is a focus on verifying the original poster's calculations and understanding the integration method required.

Contextual Notes

There is an indication that the original poster may have constraints related to their method of presenting the problem, as they mention not having a scanner. The discussion also highlights potential misunderstandings regarding the integration of the equations involved.

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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