Alternating Current Analysis
315
P.3.22 Verify that the resonant frequency for the circuit shown in Figure 3.96 is given by
R ϭ
Ϫ
Ϫ
1
1
2
2
2
LC
R
L C
R
L C
( / )
( / )
P.3.23 Given the series RLC circuit consisting of R = 5 Ω, L = 6 mH, and C = 10 µF, create
a function fi le that returns the following plots:
a. |Z(ω)| versus ω
b. ∠Z(ω) versus ω
c. |I(ω)| versus ω
d. ∠ I(ω) versus ω
over the range 0.7ω R ≤ ω ≤ 1.4ω R , assuming that the applied voltage is 10 V RMS.
+
−
60 0°
R 1 = 6 Ω
R 2 = 2 Ω
X C = –j5 Ω
X L = j6 Ω
FIGURE 3.95
Network of P.3.21.
R 1
Z (ω)
R 2
L
C
FIGURE 3.96
Network of P.3.22.
CRC_47760_CH003.indd 315
CRC_47760_CH003.indd 315
7/23/2008 1:27:55 PM
7/23/2008 1:27:55 PM
315
P.3.22 Verify that the resonant frequency for the circuit shown in Figure 3.96 is given by
R ϭ
Ϫ
Ϫ
1
1
2
2
2
LC
R
L C
R
L C
( / )
( / )
P.3.23 Given the series RLC circuit consisting of R = 5 Ω, L = 6 mH, and C = 10 µF, create
a function fi le that returns the following plots:
a. |Z(ω)| versus ω
b. ∠Z(ω) versus ω
c. |I(ω)| versus ω
d. ∠ I(ω) versus ω
over the range 0.7ω R ≤ ω ≤ 1.4ω R , assuming that the applied voltage is 10 V RMS.
+
−
60 0°
R 1 = 6 Ω
R 2 = 2 Ω
X C = –j5 Ω
X L = j6 Ω
FIGURE 3.95
Network of P.3.21.
R 1
Z (ω)
R 2
L
C
FIGURE 3.96
Network of P.3.22.
CRC_47760_CH003.indd 315
CRC_47760_CH003.indd 315
7/23/2008 1:27:55 PM
7/23/2008 1:27:55 PM