So let's say that we have a electrical circuit with a current source that is sinusoidal, but has DC offsets. How then do we convert this $i(t)$ into phasor $I$? Or is this generally impossible?
[Physics] How to use phasor method for analyzing electrical circuits when current has DC components
electric-circuitselectrical engineering
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I think there is something wrong with your mapping.
Looking at http://lpsa.swarthmore.edu/Analogs/ElectricalMechanicalAnalogs.html , I see the following table:
This is inconsistent with the mapping you are showing.
I can understand this table - I can't understand yours. I think an error crept in - which would reasonably explain your confusion.
Looking forward to comments!
I'm surprised that no one has yet mentioned the hydraulic analogy for electricity to help the OP understand better. A brief summary of this analogy is:
Electricity is like water flowing through pipes.
Current = amount of water flowing through pipe
Voltage = pressure of water
Power = water pressure x water flow (voltage x current)
Resistors = constrictions in pipe. Pressure (voltage) drops occur across them.
Any point in a (series circuit) pipe has the same amount of water flowing past that point as any other.
Any split in a pipe (parallel circuit) shares all water flowing into the split (the current of all legs equals the current before the split)
There are also water analogies for other electrical components like coils and capacitors; visit the link if you are interested.
Best Answer
DC bias is $A e^{i\theta} e^{i\omega t} = A e^{i\cdot 0} e^{i\cdot 0 t} = A$, however, quoting this,