Impedance
Impedance is a concept in electric engineering that calculates the opposition a circuit element presents to the flow of alternating current (AC). It is represented by the symbol Z and is a complex quantity with magnitude and phase components.
Z= R + j x X
- where Z is the impedence
- R is the resistance
- X is the reactance
- j is the imaginary unit.
Resistor impedence:
Z=V/i=R
Capacitor impedence:
[Tex]Z= V/i = 1/j\omega C [/Tex]
Phaser Diagram: In this the current leads voltage by 90 degree as shown in the diagram also:
Inductor impedance
Z= V/i=jwL
Phase diagram: current lags voltage by 90
Sinusoidal Steady State Analysis – Electric circuits
In steady state (the fully charged state of the cap), current through the capacitor becomes zero. The sinusoidal steady-state analysis is a key technique in electrical engineering, specifically used to investigate how electric circuits respond to sinusoidal AC (alternating current) signals. This method simplifies the intricate details involved in time-varying AC circuits by representing voltages and currents as phasors—complex quantities that succinctly convey both amplitude and phase information.
Table of Content
- Sinusoidal Steady State Analysis
- Sinusoidal Source
- Derivation
- V-I Relation for an Inductor
- V-I Relationship for a Capacitor
- Frequency Response
- Bode Plots
- Examples