文档介绍：Basic Circuit Theory
Chpter16 Problems
1 Find the matrix equation in the circuit of Fig. 16-12 by nodal analysis method. Assume that each
branch admittance of the circuit is 1S, I S1 =1A, I S 2 =2A, V S 2 =2V.
1 I s
I
s1
+
125
+ V
s -
V 8 6
s 2 -
I s 2
2
3 7
4 3
4 (a) (b)
Fig. 16-13 For prob. 2.
Fig. 16-12 For prob. 1.
2 For the circuit of Fig. 16-13a each branch impedance is 1 Ω, if choose branches 1, 2, 6, and 7 as
a tree in the corresponding graph (see Fig. 16-13b), write down the matrix equation by loop
analysis method.
3 For the circuit of Fig. 16-14 determine the nodal voltage equation with the matrix form.
G 4
g 23 v 3
R L
1 5 1 5
1 2 ∗
• M
is1 G g v I s 4 C ∗
+ 2 + 31 1 2
+ L 23
G v v R 4 3 4
1 1 3 G 3 •
−−- V s 2
(a) (b)
Fig. 16-14 For prob. 3.
Fig. 16-15 For .
4 For the circuit of Fig. 16-15a whose direct graph in the Fig. 16-15b write down the loop current
equation with the matrix form using the phasor notation.
5 Draw a normal tree for the circuit shown in Fig. 16-16a, b, c.
2000µF
1mF 8Ω
2kΩ 1H
+
20Ω is i
s +
4iL
2H + 4H 5H v
-
- s 2H
vs
-
iL
(a) (b) (c)
Fig. 16-16 For and 6.
6 Write a set of normal-form equation for the circuit shown in Fig. 16-16a, b, c.
7 For the circuit illustrated in Fig. 16-17 (a