Flux induced in a circular loop

AI Thread Summary
The discussion revolves around calculating the magnetic flux through a circular loop influenced by an infinitely long current-carrying wire. The loop has a radius of 1 m and is positioned 2 m away from the wire, with the magnetic field varying based on the loop's coordinates. A participant derived the flux integral but seeks clarification on the derivation of the integral used for the flux calculation. The conversation emphasizes the importance of understanding the relationship between the magnetic field and the geometry of the setup. Overall, the focus is on accurately determining the flux in the specified configuration.
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Homework Statement


I have a circular loop with a radius of 1 m. The center of the loop is located 2 m away from a infinitely long current carrying wire, with ac current I. Find the flux in the circular loop

Homework Equations


Φ = ∫ B ds

The Attempt at a Solution


I've found a lot of examples with square loops, so the magnetic field in the loop will depend on both the x and y direction.
I got that Φ = ∫ uo I / π(2+y) *√(1-y2) since the magnetic field will change according to the point on the circle.
 
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A diagram is always helpful. From your statement, it is not clear if the circular loop and the long wire are in one plane.
 
upload_2017-10-29_14-5-4.png


it's all in one plane
 

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How did you write the integral for the flux?
 
Chandra Prayaga said:
How did you write the integral for the flux?
Φ = ∫ uo I √(a2+y2) / (π (2a+y)) dy
 
My question was, do you know how that integral was derived?
 
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