Circuits help: how to use Transient Response to interpret bandwidth?

Question

So I'm trying to study for finals and I am stuck on a concept. Does anyone know how to relate a Transient Response of a first order system to the bandwidth of the filter?

Does the transient response fall faster for a higher bandwidth or something?

thanks

Answer 1

Bandwidth X Trise = .35

Answer 2

honestly, each time you have inductors or capacitors in a circuit you're able to have some form of a quick reaction. think of of once you play a video recreation and can desire to objective a foul guy. You swing your concentrated on reticle to appropriate truly quickly and sweep appropriate previous the guy, so which you brush lower back to the left yet pass purely a sprint to far so which you faucet it only particularly to the perfect and you're appropriate on course. Now assuming the guy would not pass (or shoot and kill you earlier I clarify this--like he continuously does to me...): once you're coated up on your shot, it truly is a mild state reaction. you have reached your needed consequence (undesirable guy is concentrated) and not the rest is had to stay like that. The section the place you have been lining up your shot became the fast reaction. There are 3 varieties of short resoponses, under damped, critically damped, and over damped. interior the occasion I used above you swung around to far (stated as overshoot) and had to come again lower back; it truly is an under damped reaction they are often quickly to react to transformations yet take extra time to settle right into a mild state (the time spent bouncing around the only appropriate state is stated as pinging, or ringing by using some) Now in case you have been lots better at video games than i'm, you're able to have been in a position to swing to the perfect and permit pass at only the perfect time to line up on course. that's a criticaly damped reaction, there's no longer lots to develop at right here you get to secure state approximately as quickly as may be accomplished. in case you have been to swing truly sluggish so which you won't swing previous the undesirable guy, this may be over damped. It doesn'rt effect in overshoot, yet often takes the longest time to realize a mild state reaction. In a circuit inductor and capicitors have charging curves based off of exponents of e. once you have those passive gadgets in a circuit and initiate up a transformation to the circuit (means on, changing a contemporary or voltage, or eliminating/including aspects to the circuit) it takes time to get to the hot very final answer. The time and form of short relies upon usually on the climate interior the circuit. A greater tutorial thank you to place that's that secure state reaction is whilst time techniques infintiy and a quick happens on the element of, and at, time equals 0.