Violate current conservation in Perfect Magnetic Conductor (PMC)

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}## ?
 
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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