Hello,
I need to know why having an electric current in Perfect Magnetic Conductor(PMC) violate current conservation. Based on the boundary conditions, I couldn't be successful to prove that surface current can violate current conservation. In addition, I am curious to know what parameter in PMC is infinite( in PEC conductivity is infinite
Thanks
I think it's 'perfect' MC. You wrote 'prefect', which is something different :)
A perfect magnetic conductor can have no magnetic field H because (by definition) the ratio of flux density B to H is infinite. B=mu H. There can then be no H, so there can be no current density because the field (A/m) on opposite sides of a current differ by the current between them (A/m), so can not be zero on both sides of the current. All the currents are on the surface, to cause the step in magnetic field between the inside and the outside.
This nearly happens with good conductors with alternating currents and with type I superconductors, except that the layer of current is not infinitely thin but extends with exponential fall-off over the skin depth or penetration depth.
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