(cont.) (c) in out (+1 2.
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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Question
derive the following in terms of R, L, and C:
a. Transfer function H(jω) = Ṽout/Ṽin.
b. Damping ratio ζ.
c. Bandwidth B
Expert Solution
Step 1
(a).
The circuit diagram is:
The transfer function of the circuit is determined as follows:
Converting the circuit into s-domain:
Step 2
The inductor and capacitor are connected in parallel, their equivalent is:
Applying voltage division rule:
plugging s = jω,
Hence, the value of the transfer function is:
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