PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

Fourier and Laplace 439

− 4

− 4

− 2

− 6

− 2 0246

complex frequency s

14

12

10

8

6

4

2

0

V1 (s)

V1 (s) versus s

FIGURE 4.83

Plot of V1(s) of Example 4.20.

− 6

− 20

− 10

− 4 − 2 0

0

10

20

30

complex frequency s

246

V2(s)

V2(s) versus s

FIGURE 4.84

Plot of V2(s) of Example 4.20.

Example 4.21

The switch in the circuit diagram shown in Figure 4.85 closes at t = 0, and the network

is unenergized before the switch is closed, with i 1 (t = 0 ) = i 2 (t = 0 ) = 0.A.

1. Write the set of loop equations in the time domain (the assumed directions of i 1 (t)
   and i 2 (t) are indicated in Figure 4.85)


2. Transform the equations of part 1 into the s-domain


3. Obtain the matrix loop equations in the s-domain and indicate the impedance
   matrix z(s) and voltage vector v(s)