Finding the Direction of Magnetic Fields with Opposing Currents

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SUMMARY

The discussion focuses on determining the direction of magnetic fields generated by two opposing currents using the Right-Hand Rule. Participants confirm that while the currents are equal and opposite, the magnetic fields do not cancel out completely due to their vector nature. The Right-Hand Rule is applied separately to each current, revealing that the resultant magnetic field direction at specific points can be deduced by considering the orientation of the hand in relation to the currents. The conclusion emphasizes that the magnetic field at the evaluated points aligns in the positive x direction.

PREREQUISITES
  • Understanding of Ampere's Law and its application in calculating magnetic fields.
  • Familiarity with the Right-Hand Rule for determining magnetic field directions.
  • Basic knowledge of vector addition in physics.
  • Concept of symmetry in magnetic field configurations.
NEXT STEPS
  • Study the application of Ampere's Law in various configurations of current-carrying conductors.
  • Explore advanced vector addition techniques in electromagnetic fields.
  • Learn about the Biot-Savart Law for calculating magnetic fields from current distributions.
  • Investigate the effects of magnetic field interactions in complex systems with multiple currents.
USEFUL FOR

Physics students, educators, and anyone interested in understanding electromagnetic theory and the behavior of magnetic fields in the presence of opposing currents.

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Homework Statement


33.Ex13_v2.jpg

How do I find the direction of the magnetic field at the points?

Homework Equations



Ampere's B = (UI) / (2*pi*r)[/B]

The Attempt at a Solution



I know how the Right hand rule, where your thumb is the direction of the current and your hand wraps the direction of the field, but I'm not sure how it plays in when both the current are opposite.
 
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Try applying the right-hand rule to each of the currents separately and combining the results. Remember that fields add as vectors. and that the diagram is symmetric except for the directions of the currents.
 
John Park said:
Try applying the right-hand rule to each of the currents separately and combining the results. Remember that fields add as vectors. and that the diagram is symmetric except for the directions of the currents.
Yes , but aren't they equal and opposite? Wouldn't they just cancel each other?
 
Have you tried it? Start with point (b). For the upper current your thumb points towards you and your fingers are under your hand. For the lower current your thumb points away from you and your fingers are above your hand . . .
 
John Park said:
Have you tried it? Start with point (b). For the upper current your thumb points towards you and your fingers are under your hand. For the lower current your thumb points away from you and your fingers are above your hand . . .
Oh I see~ I was taking into consideration of of the whole rotation of my hand, so the back of my hand should face wherever the point is? So they're all in the positive x direction?
 
looks that way to me.
 

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