Violate current conservation in Perfect Magnetic Conductor (PMC)

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SUMMARY

The discussion centers on the violation of current conservation in Perfect Magnetic Conductors (PMC). Participants question why electric currents must be zero in PMC, referencing boundary conditions and the Lorentz force. The conversation highlights a lack of clarity in textbooks regarding the conditions under which current conservation is maintained, specifically addressing the relationship between incoming and outgoing currents. Additionally, the discussion touches on the infinite parameters associated with PMC, drawing parallels to Perfect Electric Conductors (PEC).

PREREQUISITES
  • Understanding of Perfect Magnetic Conductors (PMC) and their properties
  • Familiarity with Lorentz force and its implications in electromagnetic theory
  • Knowledge of boundary conditions in electromagnetic fields
  • Concept of current conservation laws in physics
NEXT STEPS
  • Research the mathematical formulation of current conservation in electromagnetic systems
  • Study the properties and applications of Perfect Magnetic Conductors (PMC)
  • Examine the differences between Perfect Electric Conductors (PEC) and PMC
  • Explore advanced topics in electromagnetic theory, such as boundary conditions and their physical interpretations
USEFUL FOR

This discussion is beneficial for physicists, electrical engineers, and students studying electromagnetic theory, particularly those interested in the properties of Perfect Magnetic Conductors and current conservation principles.

baby_1
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Homework Statement
Why does having an electric current in Perfect Magnetic Conductor (PMC) violate current conservation?
Relevant Equations
Boundary conditions
Hello,
I need to know why having an electric current in Prefect Magnetic Conductor(PMC) violate current conservation. Based on the boundary conditions or lorentz force or ..., I couldn't be successful to prove that surface current can violate current conservation. In the textbooks, they mentioned the electric current should be zero but none of them explain it.

Thanks
 
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What type of current conservation are you talking about? Are you saying that for some volume, ##I_{in} \neq I_{out}## ?
 
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Likes   Reactions: Delta2
Thanks berkeman,
Regarding this web page, I am curious to know why the electric currents should be zero.
In addition, which parameter in PMC is infinite( for example for perfect electric conductor(PEC) the conductivity (sigma) is infinite).
 

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