文档介绍：Basic Circuit Theory
Chpter9 Problems
1 Let v S = 100 cosω t V in the circuit shown in Fig. 9-12. (a) Find the equivalent parallel RLC
circuit and then determine resonant frequency ω r ,Q, and v(t). (b) Find i 1 (t), i 2 (t), and i 3 (t).
(c) Calculate the average power loss in the 10 k Ω resistor and the maximum energy stored
in the inductor.
10kΩ
i
i +
i 1 2 3
+
v s 50m H µ F v(t)
- 40kΩ-
Fig. 9-12 For .
2 Obtain an expression for the input admittance of work shown in Fig. 9-13 and then
calculate ω r and Q.
10 −8 F
•
I 1 -
•
5
10kΩ 4 m H 10 I 1
+
Fig. 9-13 For .
3 In the series RLC circuit of Fig. 9-14 a high-Q approximations are satisfactory. (a) At what value
of ω is the amplitude of the current i a maximum? (b) By how many rad/s would ω have
to be increased to reduce I m by 5%.
i 50Ω 100p F
+ µ H
100cosω t 400
- V
Fig. 9-14 For .
4 For work shown in Fig. 9-15 find the resonant frequency ω r and the quality factor Q.
+
µ F v C
-
20 Ω
v
C
Fig. 9-15 For .
DaLian Maritime University
1
Basic Circuit Theory
Chpter9 Problems
5 Determine reasonably accurate values of ω r and Q for the work shown in Fig. 9-16
a and b.
250 Ω
Ω
2 mH
1kΩ
2mH 20µ F
20µ F
(a) (b)
Fig. 9-1