Magnetic Field due to a finitely long wire

AI Thread Summary
The discussion revolves around calculating the magnetic field produced by a finitely long wire using the Biot-Savart law. The user expresses confusion regarding the contributions from the straight segments of the wire, specifically B2 and B3, while feeling more confident about the circular segment B1. They seek clarification on integrating the expression (dl x r hat)/r² and whether the total magnetic field can be expressed as the sum of B1, B2, and B3, with B2 and B3 being equal and directed into the page. The response confirms that the approach is correct, affirming the user's understanding of the magnetic field contributions. The thread highlights the importance of correctly applying the Biot-Savart law in such calculations.
Flyer888
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Homework Statement


https://imagizer.imageshack.us/v2/935x701q90/540/k2taHx.jpg

Homework Equations

The Attempt at a Solution


I think I got the idea to solve the B1 (the circular segment) and the ones that I wrote "zero", but I'm a bit confused on the straight ones (B2 and B3)...
I'm using the Biot-Savart law, but have no idea what goes inside the integral of (dl x r hat)/r2
 
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haruspex said:
Try http://www.phys.uri.edu/gerhard/PHY204/tsl216.pdf
Thanks for the help!

Therefore, is it correct if the total magnitude of B is B1+B2+B3 (where B2 and B3 are equal and in same direction), and all of them have a direction pointing into the page?
 
Flyer888 said:
Thanks for the help!

Therefore, is it correct if the total magnitude of B is B1+B2+B3 (where B2 and B3 are equal and in same direction), and all of them have a direction pointing into the page?
Sounds right.
 

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