I actually have two questions about phasors.
1. I still don't understand why you can just add an imaginary part \(jsin(wt)\) to a sinusoidal voltage source to make it exponential \(e^{j(wt+\theta)}\). How does this not mess up the calculations? (I understand how it becomes exponential, Euler's formula. Just how does adding that imaginary part not screw it up in calculations?)
2. How do you get from \(V=V_0e^{j(wt+\theta)}\) to the phasor \(V_0e^{j\theta}\)? Where does the \(e^{jwt}\) go? Are we setting t=0?
1. I still don't understand why you can just add an imaginary part \(jsin(wt)\) to a sinusoidal voltage source to make it exponential \(e^{j(wt+\theta)}\). How does this not mess up the calculations? (I understand how it becomes exponential, Euler's formula. Just how does adding that imaginary part not screw it up in calculations?)
2. How do you get from \(V=V_0e^{j(wt+\theta)}\) to the phasor \(V_0e^{j\theta}\)? Where does the \(e^{jwt}\) go? Are we setting t=0?