can anyone enlighten me why there is a voltage in an inductor even if it is considered a short circuit in dc analysis

Question

espex · Answer

Because the current cannot change instantaneously across an inductor, therefore when you are doing an analysis you know that the voltage of a component in parallel with your inductor is the same voltage that is across your inductor at t=0.

kenljw · Answer

The current threw a inductor is actually complex, the real portion is DC and the complex portion depends on the inductance and the frequency of current.  The voltage across an inductor has no DC component and the complex portion depends on the inductance and frequency of current.  Of course this is the steady state condition after all transience had died out.