PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

218 Practical MATLAB® Applications for Engineers

FIGURE 2.126
Network of P.2.33.

b

V = 100 V

L = 2 H

R 3 = 9 Ω

R 2 = 1 Ω

R 1 = 1 Ω

a i 3 (t)

i 2 (t)

i 1 (t)

C = 2 F

+ −

FIGURE 2.127

Network of P.2.34 and P.2.35.

80 Ω

3 A^30 Ω

3 Ω

6 Ω

2 Ω

4 V

10 V

60 Ω

80 V

A

B

A

B

FIGURE 2.128
Network of P.2.36.

10 A

2 Ω

3 Ω 8 Ω

20 V I

b. Direct evaluation of the expression for Raa’ (P.2.29), where the element of Figure 2.124

have the following values: R 1 = 10, R 2 = 20, R 3 = 25, R 4 = 30, and R 5 = 70 (Ω)

c. Use ∆-to-Y transformation defi ned in P.2.17

P.2.31 The equivalent resistance between terminals aa’ of the symmetric network shown
in Figure 2.125 is given by

R

RRR RR

RR R





()123 12*

12 3

2

2

where R 1 = 10 Ω, R 2 = 20 Ω, and R 3 = 30 Ω.

Verify the preceding expression by

a. Connecting an arbitrary voltage source V across aa’ (any value), solve for the cur-

rent I, and then evaluate Raa’ = V/I

b. Evaluating R by using the ∆-to-Y transformation defi ned in P.2.17

P.2.32 Draw possible circuit diagrams for the systems defi ned by the following set of node
equations:
734 10
36 2 4
4 2 11 20

123

123

12 3

VV V

VV V

VV V











Using MATLAB, solve for the voltages V 1 , V 2 , V 3 , V 12 , V 13 , and V 23.