20Nodal Analysis: Circuit Analysis
20.1 Introduction
In this chapter, we will examine a technique of circuit analysis called voltage node analysis or simply nodal analysis.
This technique can be used to find currents and voltages across a circuit by using a zero reference and a peculiar way to use Ohm's law.
20.2 Examples
20.2.1 Example 1
Consider the circuit shown in Figure 20.1, composed of several voltage sources and resistors. We want to find the voltage between points A and B and the several branch currents.
Figure 20.1 Nodal analysis.
20.2.1.1 Solution
First thing to do, according to the nodal analysis, is to choose a point to be the circuit's zero reference, that is, the ground point. We select point B and redraw the circuit to include a ground point, as shown in Figure 20.2.
Figure 20.2 Ground reference.
Now that we have a ground point, we can say that the voltages across points C and ground and across D and ground are equal to V1 and V2, or 80 and 20 V, respectively.
However, the voltage across A, which is between A and ground, is not immediately obvious. To find this voltage we must analyze the ...
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