July 2012
Beginner
576 pages
9h 46m
English
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Chapter 7
Resonant Circuits
You have seen how the inductor and the capacitor each present an opposition to the flow of an AC current, and how the magnitude of this reactance depends upon the frequency of the applied signal.
When inductors and capacitors are used together in a circuit (referred to as an LC circuit), a useful phenomenon called resonance occurs. Resonance is the frequency at which the reactance of the capacitor and the inductor is equal.
In this chapter, you learn about some of the properties of resonant circuits, and concentrate on those properties that lead to the study of oscillators (which is touched upon in the last few problems in this chapter and covered in more depth in Chapter 9, “Oscillators”).
After completing this chapter, you will be able to do the following:
- Find the impedance of a series LC circuit.
- Calculate the series LC circuit's resonant frequency.
- Sketch a graph of the series LC circuit's output voltage.
- Find the impedance of a parallel LC circuit.
- Calculate the parallel LC circuit's resonant frequency.
- Sketch a graph of the parallel LC circuit's output voltage.
- Calculate the bandwidth and the quality factor (Q) of simple series and parallel LC circuits.
- Calculate the frequency of an oscillator.
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