PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

282 Practical MATLAB® Applications for Engineers

Example 3.10

Given the current and voltage shown in the circuit diagram of Figure 3.63, write a pro-

gram that returns the following:

1. Plots of i(t) versus t, v(t) versus t, and p(t) versus t over 0 ≤ t ≤ 0.01


2. Evaluate using MATLAB
   a. The average power delivered to the load
   b. The RMS value of i(t) and v(t) by using numerical techniques and verify the
   results by VRMS = Vm ∗ 0.707 and IRMS = Im ∗ 0.707
   c. The PF

0

1

2

3

4

5

× 104 Magnitude and phase of Z(w)

magnitude

7500 8000 8500 9000 9500

− 100

− 50

0

50

100

w (rad/sec)

7500 8000 8500 9000 9500

w (rad/sec)

phase in degrees

FIGURE 3.62
Plots for the circuit of Figure 3.60.

υ(t) = 9 cos(200*π*t + 45°)V

i(t) = 5 sin(200*π*t + 60°)

Z

A

FIGURE 3.63
Network of Example 3.10.