Two infinite lines of current in the same direction

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SUMMARY

This discussion centers on the behavior of two infinite lines of current traveling in the same direction, specifically analyzing the magnetic field interactions and forces between them. According to Ampère's Law and the right-hand rule, the forces exerted by the currents attract each other, causing the lines to move closer. The conversation also delves into the behavior of coaxial lines, questioning why they do not collapse inward despite the theoretical concentration of current in the center when alternating current (AC) is applied.

PREREQUISITES
  • Ampère's Law
  • Right-Hand Rule for magnetic fields
  • Understanding of coaxial cables
  • Basic principles of alternating current (AC)
NEXT STEPS
  • Study the implications of Ampère's Law in different configurations of current-carrying conductors.
  • Explore the concept of magnetic field lines and their interactions in parallel current-carrying wires.
  • Investigate the behavior of coaxial cables under AC voltage and the distribution of surface currents.
  • Learn about the mutual repulsion of like charges and its effects on current-carrying conductors.
USEFUL FOR

Physics students, electrical engineers, and anyone interested in electromagnetic theory and the behavior of current-carrying conductors.

datran
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I heard this question from my TA and was not satisfied with the answer. Can someone elaborate for me please?

There are two infinite lines of current that are traveling in the same direction. By the right hand rule and ampere's law, we can calculate the magnetic field and calculate the F of one line on the other.

The forces are pointed toward each other, so they will get closer and closer.


A coaxial line can be modeled as many infinite lines of current bundled together. How come the wires do not close themselves in and therefore the current should be concentrated within the center of the coaxial wire.

If we were to send an AC voltage down the line, there should be only surface current, yet our previous analysis indicates that the lines should be pulled closer to each other therefore concentrating the current in the center of the coaxial wire.

Any explanation will be much appreciated!

Thank you!
 
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Well, there is the mutual repulsion of like charges ...
 

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