If you replace the capacitor in Fig. 28.28 with an inductor,...

If you replace the capacitor in Fig. $28.28$ with an inductor, the circuit a. continues to function as before. b. becomes the opposite kind of filter. c. produces zero output voltage because the inductor is a short circuit. d. produces an output voltage that exceeds the input voltage.

If you replace the capacitor in Fig. $28.28$ with an inductor, the circuit
a. continues to function as before.
b. becomes the opposite kind of filter.
c. produces zero output voltage because the inductor is a short circuit.
d. produces an output voltage that exceeds the input voltage.

Key Concepts

Reactive Components

Reactive components such as capacitors and inductors are fundamental in AC circuits because their impedance varies with frequency. A capacitor’s reactance decreases with increasing frequency, while an inductor’s reactance increases. This frequency-dependent behavior makes these components critical for controlling signal phase and amplitude, and for designing circuits that manage how signals are filtered or coupled.

Passive Filters

Passive filters are circuits that use only passive components like resistors, capacitors, and inductors to process signals. They are used to allow certain ranges of frequencies (such as low-pass, high-pass, or band-pass filters) to pass through while attenuating others. The choice and arrangement of reactive components determine the filter’s type and its frequency response characteristics.

Frequency Response

Frequency response describes how the output of a circuit changes with frequency. This concept is central to filter design because the impedance of reactive components changes with frequency. When a capacitor is replaced by an inductor, the circuit’s frequency behavior is altered, potentially turning a high-pass filter into a low-pass filter or vice versa, thereby ‘reversing’ its filtering characteristics.

Impedance

Impedance is the measure of opposition that a circuit presents to the passage of AC current, combining both resistance and reactance. In AC circuits, the impedance of capacitors decreases with frequency whereas for inductors it increases. This principle is crucial in understanding how replacing one reactive component with another significantly affects the overall circuit behavior, especially in filtering applications.

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