V-I Relation for an Inductor
The voltage-current relationship for an inductor in an electric circuit is described by the following equation:
[Tex]v(t)=L di(t)/dt [/Tex]
- where v(t) is the instantaneous voltage across the inductor at time t.
- L is the inductance of the inductor
- i(t) is the instantaneous current flowing through the inductor.
This equation signifies that the voltage across an inductor is proportional to the rate of change of current with respect to time.
[Tex]V = j\omega LI [/Tex]
then voltage leads the current by 90.
[Tex]V = \omega L I_m \angle (\theta_i + 90^\circ)[/Tex]
Graph of V-I Relation for an Inductor
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