What would cause a magnetic field in this case?

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Hami Hashmi
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Hi,

I've been wondering what causes a magnetic field, current or an electric field. If you had a material with extremely low susceptibility and extremely high permeability then what would cause a magnetic field in this material, a current or an electric field (as long as whatever is causing the electric field is not in contact with the material).
 
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Both an electric current and a time-dependent electric field induce a magnetic field. A static electric field does not lead to a magnetic field - only indirectly if it leads to currents somewhere.
 
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But the object that is making the variable electric field will experience a magnetic field made by itself, right? Will it effect the 1st material? (the one mentioned in my original post).
 
Hami Hashmi said:
But the object that is making the variable electric field

what object ?? ... be specific