First-Order Circuit Step Response In Chapter 7 we found that the step response of a first-order circuit can be written as f t f

First-Order Circuit Step Response In Chapter 7 we found that the step response of a first-order circuit can be written as f ðtÞ ¼ f ð1Þ þ ½f ð0Þ  f ð1Þe1=TC where f(0) is the initial value, f(1) is the final value, and Tc is the time constant. Show that the corresponding transform has the form FðsÞ ¼ K s þ g sðs þ aÞ

 

and relate the time-domain parameters f(0), f(1), and Tc to the s-domain parameters K, g, and a.