EE422

HW #4

Due Thursday, January 28

1.a) Find the transfer function, H(s)=Y(s)/W(s), directly from the following circuit:

b) Now find the response of the above circuit when:

i)

ii)

iii) (hint: think LTI!)

c) Find y(t) for the following circuit by using Laplace transforms and by replacing the capacitor and inductors with their equivalent models which incorporate initial conditions. Let Amps

2a) For the circuit below, find the inductor current and capacitor voltage at t=0- if Amps. Then find y(t) for t > 0 by using Laplace transforms and by replacing the capacitor and inductors with their equivalent models which incorporate initial conditions.

b) We can also analyze multi-input multi-output systems (circuits) using Laplace transforms. Find the transfer function matrix H(s) where

(Hint: . Use superposition to find each scalar transfer fundtion,)

c) Now solve the multi-input, multi-output circuit for