## Phase Shifter

1. The problem statement, all variables and given/known data

Can somebody explain why the voltage across the capacitor (v0) lags vi?

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
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 I proved it with a vector diagram. Let I be the reference phase ie. 0 degrees. Because the voltage across R is in phase with I it also has 0 phase. The capacitor voltage V0 lags I by 90 degrees ie. -90 Vi=V0+Rvoltage. This shows Vi vector after I (R voltage) but before V0. Therefore Vi leads V0. I still would appreciate a more intuitive explanation if somebody has one.
 Recognitions: Gold Member My old ARRL handbook explained this in a non-calculus way. I never bothered to try to understand it. It was obvious to me once I had diff eq's and transform techniques - meanwhile, I believe yours is the best intuitive explanation there is.