What is the source of the magnetic field inside the box?

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SUMMARY

The discussion centers on the source of the magnetic field inside a box, specifically analyzing the implications of Gauss's Law for Magnetism. The user ruled out a bar magnet and magnetic monopoles as potential sources due to the direction of magnetic field lines. The conclusion drawn is that a current-carrying coil inside the box generates a non-zero magnetic flux, despite the absence of traditional magnetic sources. This indicates that the magnetic field is influenced by the current rather than a magnetic monopole or bar magnet.

PREREQUISITES
  • Understanding of Gauss's Law for Magnetism
  • Knowledge of magnetic field lines and their behavior
  • Familiarity with current-carrying coils and their magnetic effects
  • Basic concepts of magnetic monopoles
NEXT STEPS
  • Study the applications of Gauss's Law in electromagnetism
  • Explore the behavior of magnetic fields around current-carrying conductors
  • Research the theoretical implications of magnetic monopoles in physics
  • Investigate the properties of magnetic flux and its measurement techniques
USEFUL FOR

Students of physics, educators teaching electromagnetism, and anyone interested in understanding the principles of magnetic fields and their sources.

yeo
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Question:
http://web.ics.purdue.edu/~yeo/phys1.jpg

Formula: (Gauss's Law for Magnetism)
Line integral of[B dot nhat(perpendicular unit vector) * deltaA] = 0

The Attempt at a Solution


So, if there is a bar magnet inside, the side arrows are pointing in the wrong direction, so I ruled that out.

A magnetic monopole will have all arrows emanating from the center or all pointing towards the center, so I ruled that out.

The total flux is not 0, so there has to be something in it?

->That left me with only 2 other choices, but I've tried all combinations of them and none of them are correct. Any help guys? I only have 2 more tries left and its due tomorrow...

Thanks a lot!
 
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The fourth choice is correct, because if you keep a current carrying coil inside it will also have the lines of magnetic fields entering and leaving.
 
Last edited:
The flux through the box is nonzero. You are right, there is 'something' inside it. If you believe the flux. But we know of no magnetic sources (i.e. monopoles). And a current carrying wire is NOT A SOURCE. It has div(B)=0. Conclusion?
 
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