What is scalar voltage potential with phase shift means?

[yungman]

Say $V_{out}=4e^{j\frac {\pi}{6}}$, what is this mean? It is a scalar voltage.

Does this means:

$$4e^{j\frac {\pi}{6}}=4\left(\cos \frac {\pi}{6}+j\sin \frac {\pi}{6}\right) = 4(0.866+j0.5) = 3.4641+j2=4\angle 30^o$$
What is the phase shift means, reference to input?
Thanks

 

[Khashishi]

Is it changing in time? Maybe it is assumed that you are supposed to take the real part.