Finding the Magnetic Field in a System with Intersecting Current-Carrying Pieces

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SUMMARY

The discussion centers on calculating the magnetic field vector B at points P1 and P2 in a system with two intersecting current-carrying cylindrical pieces, each with a current density of J=0.5 A/mm². The Biot-Savart law and Ampere's law are utilized to derive the magnetic field contributions from each cylinder, considering their opposing current directions. The net current in the intersection area is zero, allowing for independent calculations of B for each cylinder, with the final results indicating that the magnetic field at both points is influenced by the geometry and current directions of the cylinders.

PREREQUISITES
  • Understanding of the Biot-Savart law for magnetic field calculations
  • Familiarity with Ampere's law and its application in magnetic field analysis
  • Knowledge of superposition principle in electromagnetic theory
  • Basic concepts of current density and its effects on magnetic fields
NEXT STEPS
  • Study the application of the Biot-Savart law in complex geometries
  • Explore Ampere's law in different coordinate systems
  • Investigate the superposition principle in electromagnetic fields
  • Learn about the effects of current density variations on magnetic field strength
USEFUL FOR

Physics students, electrical engineers, and anyone involved in electromagnetic field analysis or current-carrying systems will benefit from this discussion.

  • #31
SammyS said:
B is tangent to the circle.

I know it is, i just drew it wrong, but anyway, what's the deal with angle, i still don't understand how it is sine and not cosine?
 
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  • #32
cdummie said:
I know it is, i just drew it wrong, but anyway, what's the deal with angle, i still don't understand how it is sine and not cosine?
OK!

Yes, of course, you're correct!
 
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  • #33
SammyS said:
OK.OK!

Yes, of course, you're correct!

Thanks again for help on this one!
 
  • #34
cdummie said:
Thanks again for help on this one!
Don't forget to double each result.
 
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