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 program 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 V RMS = V m ∗ 0.707 and I RMS = I m ∗ 0.707
c. The PF
0
1
2
3
4
5
× 10 4
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.
CRC_47760_CH003.indd 282
CRC_47760_CH003.indd 282
7/23/2008 1:27:47 PM
7/23/2008 1:27:47 PM
Practical MATLAB
® Applications for Engineers
Example 3.10
Given the current and voltage shown in the circuit diagram of Figure 3.63, write a program 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 V RMS = V m ∗ 0.707 and I RMS = I m ∗ 0.707
c. The PF
0
1
2
3
4
5
× 10 4
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.
CRC_47760_CH003.indd 282
CRC_47760_CH003.indd 282
7/23/2008 1:27:47 PM
7/23/2008 1:27:47 PM
