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Complete Electronics Self-Teaching Guide with Projects by Harry Kybett, Earl Boyson

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The Capacitor and Inductor in Series

1 Many electronic circuits contain a capacitor and an inductor placed in series, as shown in Figure 7.1.

You can combine a capacitor and an inductor in series with a resistor to form voltage divider circuits, such as the two circuits shown in Figure 7.2. A circuit that contains resistance (R), inductance (L), and capacitance (C) is referred to as an RLC circuit. Although the order of the capacitor and inductor differs in the two circuits shown in Figure 7.2, they have the same effect on electrical signals.

To simplify your calculations in the next few problems, you can assume that the small DC resistance of the inductor is much less than the resistance of the resistor R, and you can, therefore, ignore DC resistance in your calculations.

When you apply an AC signal to the circuits in Figure 7.2, both the inductor's and the capacitor's reactance value depends on the frequency.

Questions
A. What formula would you use to calculate the inductor's reactance? _____
B. What formula would you use to calculate the capacitor's reactance? _____
Answers
A. XL = 2πfL
B. equation

2 You can calculate the net reactance (X) of ...

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