Sinusoidal Source
A sinusoidal source in electrical engineering generates an alternating current (AC) with a sinusoidal waveform. This equation representing a sinusoidal voltage is given by:
[Tex]v(t)= Vm. \sin(\omega t + \phi) [/Tex]
- where v(t) is the instantaneous voltage at time t.
- Vm is the amplitude or peak voltage
- w is the angular frequency
- It is time.
- [Tex]\phi [/Tex] is the phase angle
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