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

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372 Chapter Fifteen<br />

implementing capaci<strong>to</strong>rs for coupling and bypass functions, and recognizing<br />

the effects of reactive components on the phase of AC voltages<br />

and currents. At this point, you will probably find it relatively easy <strong>to</strong><br />

solidify some of the more vague concepts in<strong>to</strong> definite mathematical<br />

terms and relationships.<br />

I suggest that you read and study the information contained in this<br />

chapter, and then go back <strong>to</strong> reexamine many of the circuits incorporating<br />

capaci<strong>to</strong>rs and induc<strong>to</strong>rs in the previous chapters. This process will<br />

help <strong>to</strong> not only clarify a few of the operational principles contained in<br />

previous circuits but also drive home the points covered herein.<br />

Inductive Reactance<br />

As stated previously, capaci<strong>to</strong>rs and induc<strong>to</strong>rs are reactive components.<br />

This means that they “react,” or oppose, changes in electrical variables.<br />

For example, a capaci<strong>to</strong>r opposes, or reacts, <strong>to</strong> a change in voltage. Induc<strong>to</strong>rs,<br />

on the other hand, “react” <strong>to</strong> a change in current flow. This reactive<br />

effect has a profound relationship <strong>to</strong> frequency.<br />

As the frequency of the applied voltage <strong>to</strong> an induc<strong>to</strong>r is increased,<br />

the induc<strong>to</strong>r’s opposition <strong>to</strong> AC current flow increases. This is because<br />

the amount of energy capable of being s<strong>to</strong>red in the induc<strong>to</strong>r’s electromagnetic<br />

field (its inductance value) remains constant, but the time period<br />

of the applied AC voltage decreases. As the AC time period decreases,<br />

less energy is required from the induc<strong>to</strong>r’s electromagnetic field <strong>to</strong><br />

oppose voltage alternations. For example, it would take 10 times the energy<br />

<strong>to</strong> oppose 100 volts for 10 seconds than it would <strong>to</strong> oppose the same<br />

voltage for one second. The same principle applies with an increase in<br />

the frequency (decrease in time period) of the applied AC. Another way<br />

of stating this basic principle would be <strong>to</strong> say that the reactance of an<br />

induc<strong>to</strong>r increases with an increase in frequency.<br />

This frequency-dependent opposition <strong>to</strong> AC current flow through an<br />

induc<strong>to</strong>r is called inductive reactance. Inductive reactance (X L<br />

), as are<br />

impedance (Z) and resistance (R), is measured in ohms. The equation for<br />

calculating inductive reactance is<br />

X L<br />

2fL<br />

This equation states that inductive reactance (in ohms) is equal <strong>to</strong> 6.28<br />

(the approximate value of 2) times frequency times the inductance

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