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Consider the output voltage measured across the resistor in the circuit shown below.   a. Find the transfer function for the filter circuit above (??/??) as a function of jω. (Leave R and C as variables) b. Transpose the transfer function to a Magnitude and Phase , that is |?(??)|??? form. c. Approximate the magnitude and phase of H(jω) as ω approaches 0; and as ω approaches infinity.

Consider the output voltage measured across the resistor in the circuit shown below.   a. Find the transfer function for the filter circuit above (??/??) as a function of jω. (Leave R and C as variables) b. Transpose the transfer function to a Magnitude and Phase , that is |?(??)|??? form. c. Approximate the magnitude and phase of H(jω) as ω approaches 0; and as ω approaches infinity.

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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Consider the output voltage measured across the resistor in the circuit shown below.

 

a. Find the transfer function for the filter circuit above (??/??) as a function of jω. (Leave R and C as variables)

b. Transpose the transfer function to a Magnitude and Phase , that is |?(??)|??? form.

c. Approximate the magnitude and phase of H(jω) as ω approaches 0; and as ω approaches infinity.

d. If R = 4000 ohms, C = 2.5uF what is the corner frequency ω0 in rad/s.

e. What is the corner frequency, f0 in Hz?

f. Is this a high pass or low pass filter?

g. What is the passband gain of the circuit in [dB].

h. Assuming C does not change, choose R for a cut off frequency of 50Hz.

 

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Transcribed Image Text:צר + V- www R C
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