Hi there! got to say that for an engineering study channel, this one has great production value I got a couple of questions about the topic: 1. Does t_p > t_r > t_d always hold? 2. Why is it helpful to have delay time and rise to be separate measures? how different can they be?
Thanks! We have a great video team and they do a good job making things look nice. 1) t_p can equal t_r in overdamped systems IF you're considering t_r to go all the way to 100%. However, as far as I'm aware, most people assume that t_r would only go to 90% of the value. So, in most cases, yes, that hierarchy tends to hold unless you're deviating from the "standard" definitions. 2) t_d and t_r can be significantly different! And since the slope is almost never linear, you can't just make an assumption of one off of the other. Unless you're playing it very loose which, hey, I'm not your boss. Do what you want. I think this would come in handy in digital circuits as the transition state is usually somewhere around 50% (that's not actually true but a closer assumption than 100% - and here I am, playing it very loose). I hope that helps, have a great day!
