 By Paul H. Dietz

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In fact, this is exactly the same problem we solved earlier. The voltage is: R3R2 V = V1 ------------------------------------------------------R3R2 + R3R1 + R1R2 This suggests a general technique. A circuit with multiple independent voltage sources can be solved by considering the effect of each voltage source independently, and then adding the solutions together. When a voltage source is not being considered, it is replaced by a short. This technique is known as superposition, and it really does work!

More confusing still, they might take in a voltage, and produce a proportional current. And finally, they might take in a current, and produce a proportional voltage. These are called voltage amps, current amps, transconductance amps and transimpedance amps respectively. In terms of network theory, we call all of these dependent sources. Their outputs depend upon some other measured quantity. A linear dependent source is one where the output is proportionally related to the input. For now, we will only consider linear dependent sources.

However, the problem for this chapter asks us to build a system that will produce a number of different voltages under program control. Before we can do that, we need to learn more about network theory. 24 A Pragmatic Introduction to the Art of Electrical Engineering How Do I Solve More Complex Resistive Circuits? In general, a circuit consists of a network of interconnected elements. Nodes are the points where the elements connect together. Branches refer to the paths currents can take through the circuit.