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Tab Electronics Guide to Understanding Electricity ... - Sciences Club

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68 Chapter Two<br />

electronic circuit that you may construct in the future, so that you<br />

will be capable of selecting an appropriate power supply <strong>to</strong> operate it.<br />

Exercise 7 Figure 2-22c illustrates a series-parallel circuit. To visualize<br />

this fact, use your pencil point <strong>to</strong> trace out the following two current<br />

paths. Current flows from negative <strong>to</strong> positive, so start at the negative end<br />

of the battery (the bot<strong>to</strong>m end illustrated with a short horizontal line)<br />

and follow the current path <strong>to</strong> the first connection point (labeled “node<br />

1”), continue up through D2, then D1, through the next connection point<br />

(labeled “node 2”), through R1, and finally ending at the positive side of<br />

the battery. Tracing out the second current path, begin again at the negative<br />

side of the battery and follow the current flow <strong>to</strong> node 1, but this<br />

time follow the other current path through D3, then through R2,<br />

through node 2, through R1, and finally back <strong>to</strong> the positive side of the<br />

battery. As can be seen, there are two current “loops” in this circuit. One<br />

consists of D2, D1, and R1. The other consists of D3, R2, and R1. Notice<br />

that the <strong>to</strong>tal current flow from the battery branches at node 1, with<br />

some of it flowing through the D2-D1 leg, while the rest of it flows<br />

through the D3-R2 leg. However, at node 2, the two current flows combine<br />

again, and the <strong>to</strong>tal current flows through R1. Since the <strong>to</strong>tal circuit<br />

current flows through R1, R1 must be in series with the remainder of the<br />

circuit. However, because the current flow branches, causing only a portion<br />

of the <strong>to</strong>tal circuit current <strong>to</strong> flow through the other circuit components,<br />

the remainder of the circuit must be in some type of parallel<br />

configuration. Therefore, this circuit is referred <strong>to</strong> as a series-parallel circuit.<br />

As stated previously, a certain portion of the current branches at node<br />

1 and flows through the D2-D1 leg. Whatever value of current that happens<br />

<strong>to</strong> flow through D2 must also flow through D1, since there are no<br />

connections between them wherein the current could branch. Likewise,<br />

whatever value of current that happens <strong>to</strong> flow through D3 must also<br />

flow through R2. Therefore, D2 and D1 are in series with each other, and<br />

D3 and R2 are also in series with each other. In addition, the series leg of<br />

D2 and D1 is in parallel with the series leg of D3 and R2.<br />

Refer <strong>to</strong> Fig. 2-22d and compare it <strong>to</strong> the circuit of Fig. 2-22c. Note<br />

that they are exactly the same from the electrical perspective. The only difference<br />

is in the way R2 is illustrated. Both methods of drawing the<br />

circuit are correct, but the Fig. 2-22d illustration makes it easier <strong>to</strong> visualize<br />

that the D3-R2 series leg is connected directly across from, or parallel<br />

with, the D2-D1 series leg.<br />

What would be the desired resistance value of R2 in Fig. 2-22c Going<br />

back <strong>to</strong> the general rules that govern a parallel circuit, you already know

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