PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

216 Practical MATLAB® Applications for Engineers

P.2.25 For the circuit shown in Figure 2.121, evaluate

a. I 1 , I 2 , I 3 , I 4 , and I 5

b. VX, VY, and VXY

c. Power of all the resistors in watts, horsepower, and foot-pound force per second

(see P.2.1)

d. The energy stored in C 1 , C 2 , and L

P.2.26 The network structure shown in Figure 2.122 is called “lattice.”
Observe that the resistors, R 1 , R 3 , ..., R 2 n− 1 (ohms), placed horizontally are labeled
with odd indexes, whereas the elements in the vertical positions are admittances
G 1 , G 4 , ..., G 2 n (oh ms−^1 or siemans), which are labeled with even indexes.
Verify the following expression:

RR

GRGR RnnG

     1 

2345 212

1111 1 1



FIGURE 2.123
Network of P.2.27.

2 Ω 3 Ω 1 Ω

1 Ω 3 Ω^5 Ω 7 Ω

2 Ω−^13 Ω−^14 Ω−^1

2 Ω−^14 Ω−^16 Ω−^18 Ω−^1

(a)

(b)

R

R

FIGURE 2.122
Lattice network of P.2.26.

1/R 2 = G 2 1/R 4 = G 4 1/R 6 = G 6 1/R 2 n = G 2 n

R 1 R 3 R 5 R 7

R

R 2 n− 1