What is scalar voltage potential with phase shift means?

AI Thread Summary
The discussion centers on the interpretation of the scalar voltage potential represented by the expression V_out=4e^{j\frac {\pi}{6}}. This notation indicates a magnitude of 4 and a phase shift of 30 degrees, derived from the conversion to rectangular form as 4(0.866+j0.5). The phase shift signifies a time-dependent relationship between the output and input voltages. Participants question whether the phase shift implies a change over time and whether only the real part of the expression is relevant for practical applications. Understanding these concepts is crucial for analyzing AC circuits and their behavior.
yungman
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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
 
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Is it changing in time? Maybe it is assumed that you are supposed to take the real part.
 
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