Application of Phasor Methods to Simple AC Circuits

 

Application of Phasor Methods to Simple AC Circuits

Definition:
Phasor methods allow for easier analysis of AC circuits, particularly in series and parallel RLC circuits. By transforming AC signals into phasors, impedance can be used instead of resistance to represent how components like resistors, capacitors, and inductors behave in AC circuits.

Example:
In a series RLC circuit, the impedance $Z$ is:

$$Z = R + j\omega L - \frac{j}{\omega C}$$

where $R$ is resistance, $\omega L$ is inductive reactance, and $\frac{1}{\omega C}$ is capacitive reactance. Phasor analysis helps solve for current and voltage using Ohm’s Law.