(cont.) (c) in out (+1 2.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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derive the following in terms of R, L, and C:
a. Transfer function H(jω) = Ṽout/Ṽin.
b. Damping ratio ζ.
c. Bandwidth B

(cont.)
(c)
in
out
(+1
2.
Transcribed Image Text:(cont.) (c) in out (+1 2.
Expert Solution
Step 1

(a).

The circuit diagram is:

Electrical Engineering homework question answer, step 1, image 1

The transfer function of the circuit is determined as follows:

Converting the circuit into s-domain:

Electrical Engineering homework question answer, step 1, image 2

Step 2

The inductor and capacitor are connected in parallel, their equivalent is:

Electrical Engineering homework question answer, step 2, image 1

Applying voltage division rule:

Electrical Engineering homework question answer, step 2, image 2

plugging s = jω,

Electrical Engineering homework question answer, step 2, image 3

Hence, the value of the transfer function is:

Electrical Engineering homework question answer, step 2, image 4

 

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