Circuit Theory-2 #16 | Poles, Zeros, Initial Value and Final Value

Instructor: Dr. Süleyman Burak ÇELİK

In this Circuit Theory-2 lesson we learn how to read behavior directly from F(s): poles, zeros, initial value, and final value. You will learn: - Poles as denominator roots and natural time modes - Zeros as numerator roots that shape weights, cancellations, and early motion - Why farther-left poles decay faster - Initial value theorem: reading f(0+) from the high-s limit - Final value theorem: reading steady state from the low-s limit - The stability condition behind final value theorem - Worked checks using `(2s+5)/((s+1)(s+3))` - Step response example: `Y(s)=10/(s(s+2))` Timestamps: 00:00 Poles, zeros, initial and final value 00:03 From inverse Laplace to behavior reading 00:38 Pole-zero map 01:15 Poles as time modes 01:52 What zeros do 02:24 Initial value theorem 03:06 Final value theorem 03:49 Step response endpoint check 04:25 Common traps 04:57 Wrap Next lesson: s-domain R, L, C models with initial conditions. Part of the Circuit Theory-2 playlist by AcEdumy.