How Do Magnetic Field Lines Behave Around a Long Current-Carrying Wire?

AI Thread Summary
The discussion centers on understanding the behavior of magnetic field lines around a long wire carrying a steady current in a uniform magnetic field. The original poster is struggling with a specific problem regarding the shape of these magnetic field lines and is seeking clarification on their approach. A suggestion is made to express the radius in terms of Cartesian coordinates to aid in the analysis. Additionally, a reference to a relevant example problem is provided for further guidance. The conversation emphasizes the importance of correctly visualizing and deriving the magnetic field configuration.
Fumbles22
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Hello,

I'm stuck on this question, and it's really annoying me. I scanned the page so it has a bit more context.

img272_zps27d9afc6.jpg


It's question 3.7: "A long wire carrying a steady current is placed in a uniform magnetic field parallel to it's own length. What is the shape of the magnetic field lines close to the wire?".

I approached the problem like this:

img270_zpsaeb417b8.jpg


(Sorry about my awful handwriting!)

I'm close to the answer in the back of the book (which i'll withhold for now) but it still isn't right. Unfortunately, I can't see what I've done wrong.

I was hoping that someone could point out any gaps in my working.

Thanks in advance!
 
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I don't see what's wrong with what you did. Maybe you could express r as sqrt(x^2 +y^2) but other than that ...
 

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