Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Filter
A filter is a device or process which removes some of the unwanted features or components like frequencies from a signal in signal processing. The feature of filters is the complete or partial suppression of some part of the signal, and filtering is a cl…
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**Problem Statement:** 3. In the circuit below, assume the op amp is ideal. - **a.** Find the transfer function Vo/Vin (leave Rf, Rs, and C as variables). - **b.** What type of filter is it? If Rf = 10kΩ, Rs = 1kΩ, C = 2μF: - **c.** Find the passband gain. - **d.** Find the corner frequency. - **e.** Sketch the Bode plot for the magnitude of the transfer function. **Diagram Explanation:** The circuit is a non-inverting op-amp configuration with a feedback network consisting of a resistor (Rf) and a capacitor (C) in parallel. An input resistor (Rs) is connected to the inverting input, and the non-inverting input is grounded. The output voltage (Vo) is taken from the op-amp output. **Important Components:** - **Op-Amp:** Ideal operational amplifier, providing infinite gain, infinite input impedance, and zero output impedance. - **Resistors (Rf, Rs):** Rf is the feedback resistor, and Rs is the series resistor connected to the input voltage (Vin). - **Capacitor (C):** In parallel with Rf, forming a frequency-dependent network. This setup is used to analyze the filter's characteristics, including its type, gain, and frequency response.
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Transcribed Image Text:**Problem Statement:** 3. In the circuit below, assume the op amp is ideal. - **a.** Find the transfer function Vo/Vin (leave Rf, Rs, and C as variables). - **b.** What type of filter is it? If Rf = 10kΩ, Rs = 1kΩ, C = 2μF: - **c.** Find the passband gain. - **d.** Find the corner frequency. - **e.** Sketch the Bode plot for the magnitude of the transfer function. **Diagram Explanation:** The circuit is a non-inverting op-amp configuration with a feedback network consisting of a resistor (Rf) and a capacitor (C) in parallel. An input resistor (Rs) is connected to the inverting input, and the non-inverting input is grounded. The output voltage (Vo) is taken from the op-amp output. **Important Components:** - **Op-Amp:** Ideal operational amplifier, providing infinite gain, infinite input impedance, and zero output impedance. - **Resistors (Rf, Rs):** Rf is the feedback resistor, and Rs is the series resistor connected to the input voltage (Vin). - **Capacitor (C):** In parallel with Rf, forming a frequency-dependent network. This setup is used to analyze the filter's characteristics, including its type, gain, and frequency response.
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