3-15 Figure 3-16.—RC time constant chart. In filter circuits the capacitor is the common element to both the charge and discharge paths. Therefore, to obtain the longest possible discharge time, you want the capacitor to be as large as possible. Another way to look at this is: The capacitor acts as a short circuit around the load (as far as the ac component is concerned), and since the larger the value of the capacitor (C), the smaller the opposition (X_{C}) or resistance to ac. Now let's look at inductors and their application in filter circuits. Remember, AN INDUCTOR OPPOSES ANY CHANGE IN CURRENT. In case you have forgotten, a change in current through an inductor produces a changing electromagnetic field. The changing field, in turn, cuts the windings of the wire in the inductor and thereby produces a counterelectromotive force (cemf). It is the cemf that opposes the change in circuit current. Opposition to a change in current at a given frequency is called inductive reactance (X_{L}) and is measured in ohms. The inductive reactance (X_{L}) of an inductor is determined by the applied frequency and the inductance of the inductor. Mathematically, X_{L}= 2!fL From the preceding formula, you know that if either frequency or inductance is increased, the X_{L}will increase. Since inductors are placed in series with the load (fig. 3-17), the larger the X_{L}, the larger the ac voltage developed across the inductor and the smaller the ac voltage developed across the load.

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