120116-1721 EST
iwire:
I will try to provide two definitions as a starting point. These being --- transient --- steady-state.
Transient analysis relates to viewing a circuit on an instantaneous basis vs time. This might be a one time event, a repetitive event that is consistent from one occurrence to another, or a varying event from one time to another.
A one time event might be a static discharge of a charged glass rod.
A repetitive event might be the charge curve of a timing capacitor in a multivibrator oscillator. It could be the capacitor charge, current, or voltage curve in power supply with a rectifier feeding a capacitor input filter, partly the subject of this thread.
Steady-state analysis is an approach to obtain numerical values that describe a circuit where the statistics are stationary. Stationary statistics mean the values of the statistical properties of the circuit do not vary with time. Some of these statistics are average, RMS, peak, probability distribution curve, standard deviation, etc. So in this case the parameter would not vary with time. For example the RMS voltage of a source would be the same now, 5 minutes later, two weeks later, or 50 years ago. The time frame of this consistency would be whatever you chose. A 6 V battery connected to a 6 ohm resistor is always going to have 1 A flow from the battery thru the resistor. A 6 V RMS AC voltage source connected to a 6 ohm resistor has a 1 A AC RMS circuit current.
I can view this AC circuit in a different light and call it a transient analysis. I can study the instantaneous circuit current from time 0 (a voltage zero crossing) to time Pi/2 (the first peak following the zero crossing). Assuming this AC waveform is consistent from one time to another, then if at each positive zero crossing I restart my transient time base, then I have a repetitive transient.
Where you have a steady-state system its possible to describe its operation based on simple single numbers and appropriate simple equations.
In a transient analysis you are interested many values that change with time.
The simple series RC circuit with a switch and constant voltage source is a classic circuit for transient analysis.
Draw a series circuit consisting of a 10 V battery, a switch, a 1 megohm resistor, and a 1 ufd capacitor. Assuming zero charge on the capacitor at time 0, then how does the voltage across the capacitor vary with time after the switch is closed?
I will come back to this later, but this is enough for now. Is the above discussion clear and are there any disagreements about what I have said, or needed clarifications?
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