Direct Current and Transient Analysis
217
P.2.27 For the circuits shown in Figure 2.123 evaluate R by
a. Writing a MATLAB program using the standard circuit analytical techniques
b. Writing a MATLAB program that computes R by using the relation of P.2.26
given by
R R
G
R
n
n
i
i
i
n
i
n
ϭ ϩ
ϩ
ϭ
ϭ
ϭ
ϭ
1
2
2 1
1
1
1
1
Ϫ
∑
∑
for
3 and
4
P.2.28 Draw the possible circuit diagrams for the electrical network defi ned by the following set of mesh equations:
a. 20I 1 − 5I 2 = 10
−5I 1 + 10I 2 = −7
b. 10 = 6I 1 − 2I 2 − 3I 3
−6 = −2I 1 + 6I 2 − 4I 3
5 = −3I 1 − 4I 2 + 12I 3
c. Using MATLAB, solve each system (a and b) that consists of the set of loop
equations
P.2.29 Verify that the equivalent resistance (between terminals a and a’) of the circuit of
Figure 2.124 is given by
R
R R R
R
R R R
R
R R
R R
R
R
R R
R
ϭ
ϩ
ϩ
ϩ
ϩ
ϩ
ϩ
ϩ
ϩ
1
2
3
4
3
4
1
2
5
1
3
2
4
1
2
3
4
* (
)
* (
)
(
) (
)
(
) (
)ϩ ϩ
ϩ ϩ ϩ
(
)
R
R
R
R R
1
2
3
4
5
P.2.30 Evaluate the equivalent resistance between terminals a and a’, of the circuit diagram shown in Figure 2.124, by applying the following techniques or procedures:
a. Connect an arbitrary voltage source V across aa’, solve for the current I, and then
evaluate Raa’ = V/I
FIGURE 2.124
Network of P.2.29.
I
R 1
R 2
R 3
R 4
R 5
a ′
a
FIGURE 2.125
Network of P.2.31.
R 1
R 2
R 2
R 1
R 3
a ′
a
I
CRC_47760_CH002.indd 217
CRC_47760_CH002.indd 217
7/23/2008 1:39:04 PM
7/23/2008 1:39:04 PM