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

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78 Chapter Two<br />

R4 is dropping 1 volt (a <strong>to</strong>tal of 3 volts), the remaining portion of the<br />

<strong>to</strong>tal 4.6 volts must be dropped across R2. Therefore, R2 is dropping 1.6<br />

volts (4.6 volts 3 volts 1.6 volts). Now you know two electrical variables<br />

pertaining specifically <strong>to</strong> R2: the voltage across it (1.6 volts) and the<br />

current flow through it (10 milliamps). Its resistance value can be calculated<br />

from Eq. (2-3):<br />

E 1.6 volts<br />

R <br />

160 ohms<br />

I 10 milliamps<br />

The resistance value of R1 can be determined in the same manner.<br />

Since 10 milliamps is flowing through the R3-D1-R1 parallel leg, the<br />

current flow through R3 will be 10 milliamps. The voltage drop across<br />

R3 can be calculated using Eq. (2-1):<br />

E IR (10 milliamps)(68 ohms) 0.68 volts or 680 millivolts<br />

The sum of the 2 volts dropped across D1 and the 680-millivolt drop<br />

across R3 is 2.68 volts. Remembering that 4.6 volts is dropped across the<br />

entire R3-D1-R1 leg, you can find the voltage drop across R1 by subtracting<br />

the combined voltage drops of D1 and R3. 4.6 volts minus 2.68<br />

volts provides a difference of 1.92 volts, which is the voltage drop across<br />

R1. Now that you know the voltage drop across R1 (1.92 volts) and the<br />

current flow through it (10 milliamps), you can calculate its resistance<br />

value using Eq. (2-3):<br />

E 1.92 volts<br />

R <br />

192 ohms<br />

I 10 milliamps<br />

Now that you have gone through this exercise involving Fig. 2-24a, refer<br />

<strong>to</strong> Fig. 2-24b. Note that this circuit is electrically identical <strong>to</strong> the Fig. 2-24a<br />

circuit, even though its visual appearance is quite different. Prove this <strong>to</strong><br />

yourself by following the current flow from the negative terminal <strong>to</strong> the<br />

positive terminal of the source. Finally, refer <strong>to</strong> Fig. 2-24c. You’ll discover<br />

that this circuit is also electrically identical <strong>to</strong> the Fig. 2-24a circuit diagram.<br />

Again, prove this <strong>to</strong> yourself by following the current flow paths.<br />

What is the practical purpose of this exercise Again, this exercise is<br />

primarily directed <strong>to</strong>ward helping you improve your ability of conceptualizing<br />

circuits. It may be wise for you <strong>to</strong> repeat all of the previous<br />

exercises several times. Remember, conceptualizing electronic circuitry is<br />

a learned process—as you continue through this book, your abilities in<br />

this regard will improve greatly.

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