# Phase Angles and Complex Numbers

Discussion in 'General Electronics Chat' started by lendo1, Jun 4, 2011.

1. ### lendo1 Thread Starter Active Member

Apr 24, 2010
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0
So Chapters 3 and 4 of the E-book (which is a fantastic resource by the way, thank you to the developers!) deal with inductive and capacitive AC circuits.

The physics of inductive and capacitive responses to AC makes perfect sense to me, as does this statement from the chapter:

"For the resistor and the inductor, the phase relationships between voltage and current haven't changed. Voltage across the resistor is in phase (0o shift) with the current through it; and the voltage across the inductor is +90o out of phase with the current going through it. We can verify this mathematically"

Ok, the voltage across the inductor leads the current, and the voltage across the resistor is in phase with its current. Well, what exactly does the total current, and more importantly the phase angle of the total current, tell us about the circuit? If the voltage and current through and across any component will be just a property of that component, what does it mean to have a total current of 5 amps at an angle of -35 degrees? Is this just an abstraction, or would current in a 0 resistance/reactance part of the circuit actually be lagging behind the voltage source waveform at any given time? Oh, and why?