Violate current conservation in Perfect Magnetic Conductor (PMC)

[baby_1]

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

 

[berkeman]

What type of current conservation are you talking about? Are you saying that for some volume, $I_{in} \neq I_{out}$ ?

 

[baby_1]

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).