TABLE OF CONTENTS This chapter begins with the application of nodal analysis, mesh analysis, superposition, and Thevenin's and Norton's theorems in phasor circuits. Then, phasor diagrams are introduced, and the input-output relationships for an RC low-pass filter and an RC high-pass filter are developed.
The procedure of analyzing a phasor [*] circuit is the same as in Chapter 3, except that in this chapter we will be using phasor quantities. The following example illustrates the procedure.
Example 7.1
Use nodal analysis to compute the phasor voltage V AB = V A ? V B for the circuit of Figure 7.1.
Solution:
As before, we choose a reference node as shown in Figure 7.2, and we write nodal equations at the other two nodes A and B. Also, for convenience, we designate the devices in series as Z 1, Z 2, and Z 3 as shown, and then we write the nodal equations in terms of these impedances.
By application of KCL at V A,
or
or
and by substitution for Z 1 and Z 2 we get
Next, at V B:
or
In matrix form (7.1) and (7.3) are
We will follow a step-by-step procedure to solve these equations using Cramer's rule, and we will use MATLAB [*] to verify the results.
We rewrite (7.3) as
and thus with (7.2) and...
