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4. Derive the transfer function, H(f) = Vou / Vin and draw the asymptotic(approximate) Bode magnitude plots for the circuit shown in and approximate phase Fig.3, and determine the type of filter( in Fig4. (LPF, HPF,Band Pass Filter or Band Stop Filter) and determine the cut-off frequency or corner frequency

4. Derive the transfer function, H(f) = Vou / Vin and draw the asymptotic(approximate) Bode magnitude plots for the circuit shown in and approximate phase Fig.3, and determine the type of filter( in Fig4. (LPF, HPF,Band Pass Filter or Band Stop Filter) and determine the cut-off frequency or corner frequency

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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### Problem Statement **4.** Derive the transfer function, \( H(f) = V_{\text{out}} / V_{\text{in}} \), and draw the asymptotic (approximate) Bode magnitude and approximate phase plots for the circuit shown in Fig. 3. Determine the type of filter (in Fig. 4). Possible types include LPF (Low Pass Filter), HPF (High Pass Filter), Band Pass Filter, or Band Stop Filter. Additionally, determine the cut-off frequency or corner frequency. ### Circuit Description **Figure 3:** - **Components:** - **Resistors:** - \( R1 = 99k\Omega \) - \( R2 = 1k\Omega \) - **Capacitor:** - \( C1 = 1 \mu F \) - **Circuit Configuration:** - The input voltage \( V_{\text{in}} \) is applied across a series combination of \( R1 \) and \( C1 \). - The output voltage \( V_{\text{out}} \) is taken across the resistor \( R2 \), which is in parallel to the capacitor \( C1 \). ### Graphical Explanation - **Bode Plot:** - The magnitude plot will show the gain (in dB) versus frequency on a logarithmic scale, indicating how the filter attenuates or amplifies different frequency components. - The phase plot will show the phase shift introduced by the filter versus frequency, also on a logarithmic scale. These plots will help in identifying the type of filter based on frequency response and determining the cut-off frequency.
Transcribed Image Text:### Problem Statement **4.** Derive the transfer function, \( H(f) = V_{\text{out}} / V_{\text{in}} \), and draw the asymptotic (approximate) Bode magnitude and approximate phase plots for the circuit shown in Fig. 3. Determine the type of filter (in Fig. 4). Possible types include LPF (Low Pass Filter), HPF (High Pass Filter), Band Pass Filter, or Band Stop Filter. Additionally, determine the cut-off frequency or corner frequency. ### Circuit Description **Figure 3:** - **Components:** - **Resistors:** - \( R1 = 99k\Omega \) - \( R2 = 1k\Omega \) - **Capacitor:** - \( C1 = 1 \mu F \) - **Circuit Configuration:** - The input voltage \( V_{\text{in}} \) is applied across a series combination of \( R1 \) and \( C1 \). - The output voltage \( V_{\text{out}} \) is taken across the resistor \( R2 \), which is in parallel to the capacitor \( C1 \). ### Graphical Explanation - **Bode Plot:** - The magnitude plot will show the gain (in dB) versus frequency on a logarithmic scale, indicating how the filter attenuates or amplifies different frequency components. - The phase plot will show the phase shift introduced by the filter versus frequency, also on a logarithmic scale. These plots will help in identifying the type of filter based on frequency response and determining the cut-off frequency.
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