PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

Alternating Current Analysis 315

P.3.22 Verify that the resonant frequency for the circuit shown in Figure 3.96 is given by

R





1 12

2

LC^2

RLC

RLC

(/ )

(/ )

P.3.23 Given the series RLC circuit consisting of R = 5 Ω, L = 6 mH, and C = 10 μF, c r e at e

a function fi le that returns the following plots:

a. |Z(ω)| v e r s u s ω

b. ∠Z(ω) versus ω

c. |I(ω)| v e r s u s ω

d. ∠ I(ω) versus ω

over the range 0.7ωR ≤ ω ≤ 1.4ωR, assuming that the applied voltage is 10 V RMS.

+

−

60 0°

R 1 = 6 Ω

R 2 = 2 Ω

XC = –j 5 Ω

XL = 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.