Magnetic field from point source

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SUMMARY

The discussion centers on calculating the force on a circular loop of wire with radius R carrying current I, placed in a magnetic field diverging from a point below the loop. The magnetic field makes an angle theta with the loop, defined by the relationship tan(theta) = R/d. The force on the loop can be determined using the equation F = IL x B, where L is the length of the wire and B is the magnetic field. Participants emphasize focusing on the z component of the force to simplify calculations.

PREREQUISITES
  • Understanding of magnetic fields and their properties
  • Familiarity with the right-hand rule for cross products
  • Knowledge of vector calculus for integrating components
  • Proficiency in applying Ampère's Law and Biot-Savart Law
NEXT STEPS
  • Study the application of the Biot-Savart Law for magnetic fields
  • Learn about the right-hand rule for determining force directions
  • Explore vector calculus techniques for integrating magnetic forces
  • Investigate the effects of varying current I on the force experienced by the loop
USEFUL FOR

This discussion is beneficial for physics students, electrical engineers, and anyone involved in electromagnetism or circuit design, particularly those studying the interaction between current-carrying conductors and magnetic fields.

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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