Find magnitude of magnetic field from loop

AI Thread Summary
To find the magnitude of the magnetic field at the center of a square loop carrying current i, the equation B=μ0/4∏∫i * dl X r^ /r^2 is used. The calculation can be simplified by first determining the magnetic field contribution from one side of the square loop and then multiplying the result by four, as all sides contribute equally. This approach streamlines the process of deriving the magnetic field's magnitude as a function of current i and loop side length L. The discussion emphasizes the importance of symmetry in the problem. Understanding these principles is crucial for solving similar physics problems.
kgal
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Homework Statement


A square loop, with sides of length L, carries current i. Find the magnitude of the magnetic field from the loop at the center of the loop, as a function of i and L.


Homework Equations


B=μ0/4∏∫i * dl X r^ /r^2


The Attempt at a Solution


 
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hi kgal! :smile:

(try using the X2 button just above the Reply box :wink:)
kgal said:
1. Homework Statement [/b]
A square loop, with sides of length L, carries current i. Find the magnitude of the magnetic field from the loop at the center of the loop, as a function of i and L.

do it for one side of the square, then multiply by 4 :smile:
 
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