Magnetic field from point source

AI Thread Summary
The discussion revolves around calculating the force on a circular loop of wire carrying current I, placed in a magnetic field that diverges from a point below the loop. The angle theta is defined by the relationship tan(theta) = R/d, where R is the loop's radius and d is the distance from the point source. Participants express difficulty in integrating the x and y components of the magnetic field, suggesting that focusing solely on the z component simplifies the problem. One user encourages sharing specific calculations to identify errors in the approach. The conversation emphasizes the importance of understanding the magnetic field's direction in solving the problem.
Maxwellkid
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Homework Statement



A circular loop of wire of radius R carries current I. It is placed in a magnetic field whose straight lines seem to diverge from a point a distance d below the ring on it's axis. It makes an angle theta with the loop at all points where (tan theta= R/d). What is the force on the loop?



Homework Equations



F= IL x B




The Attempt at a Solution



I can't seem to cancel out the x and y components as I take the integral.
 
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Hi Maxwellkid! :smile:
Maxwellkid said:
… I can't seem to cancel out the x and y components as I take the integral.

Two practical answers:

a) why bother? you know it'll be in the z direction, so just do the z component! :wink:

b) but if you are bothered, show us what you did, and where it goes wrong :smile:
 

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