P13.77. What is the function of a filter? What is a typical application? What is an active filter?
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A filter is an electronic circuit or device that selectively allows signals of certain frequencies to pass through while attenuating or blocking signals of other frequencies. Its primary function is to separate or modify frequency components of a signal. Show more…
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A filter is a circuit designed to pass AC signals in some frequency range and to attenuate others. Common filters include low-pass filters, which allow low-frequency signals to pass but attenuate high frequencies; high-pass filters, which do the opposite; and band-pass filters, which pass a range of frequencies while attenuating signals with frequencies outside the band. Filters are widely used in electronics. Applications include tone and equalizer controls in audio equipment; filters to separate nearby frequencies at cell phone towers; and filters to eliminate unwanted electrical noise in biomedical instruments such as electrocardiographs. A simple design for an $R C$ filter is shown in Fig. 28.27 FIGURE CANT COPY The circuit of Fig. 28.27 a. exhibits resonance at frequency $\omega=1 / R C$ b. exhibits resonance at frequency $\omega=1 / \sqrt{R C}$ c. produces an output voltage whose frequency differs from that of the input. d. produces an output voltage whose phase differs from that of the input.
A filter is a circuit designed to pass AC signals in some frequency range and to attenuate others. Common filters include low-pass filters, which allow low-frequency signals to pass but attenuate high frequencies; high-pass filters, which do the opposite; and band-pass filters, which pass a range of frequencies while attenuating signals with frequencies outside the band. Filters are widely used in electronics. Applications include tone and equalizer controls in audio equipment; filters to separate nearby frequencies at cell phone towers; and filters to eliminate unwanted electrical noise in biomedical instruments such as electrocardiographs. A simple design for an $R C$ filter is shown in Fig. 28.27 FIGURE CANT COPY When the angular frequency $\omega$ of the input voltage $V_{\text {in }}$ is such that the capacitor's reactance is equal to the resistance, the output voltage is a. $V_{\text {in }} / 4$ b. $V_{\text {in }} / 2$ c. $V_{\text {in }} / \sqrt{2}$ d. $2 V_{\text {in. }}$
A filter is a circuit designed to pass AC signals in some frequency range and to attenuate others. Common filters include low-pass filters, which allow low-frequency signals to pass but attenuate high frequencies; high-pass filters, which do the opposite; and band-pass filters, which pass a range of frequencies while attenuating signals with frequencies outside the band. Filters are widely used in electronics. Applications include tone and equalizer controls in audio equipment; filters to separate nearby frequencies at cell phone towers; and filters to eliminate unwanted electrical noise in biomedical instruments such as electrocardiographs. A simple design for an $R C$ filter is shown in Fig. 28.27 FIGURE CANT COPY The circuit shown in Fig. 28.27 is a. a low-pass filter. b. a high-pass filter. c. a band-pass filter. d. impossible to tell without knowing the component values.
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