Electromagnetic boundary condition

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in electromagnetics , considering boundary conditions of dielectric and perfect conductor
, inside conductor E = 0. So, there should not be any time varying magnetic field. But in many books i have seen that inside conductor normal component of B is 0 because there is no time varying magnetic field. How ? But i say THERE can be a static magnetic field , so Bn can be non-zero.
 
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inside conductor E = 0. So, there should not be any time varying magnetic field.
This is true for superconductors, but not for regular conductors. Maybe "perfect conductor" refers to the former one?

But in many books i have seen that inside conductor normal component of B is 0
Again, this is true for superconductors, not for regular conductors.
 
Even for perfect conductor
THERE can be a static magnetic field , so normal component of B can be non-zero.
But in many books i have seen that inside conductor normal component of B is 0