EXERCISE: An amplifier is formed by cascading two amplifiers with these transfer functions.What is the gain at low frequencies? What is the gain at f#? What is f#?25Ay1(S)andAy2(S)1+10,000n20,000x

Given Avs=501+s10,000πAvs=251+s20,000π Overall transfer function of these two cascaded amplifier…

Answered: EXERCISE: An amplifier is formed by…

Introductory Circuit Analysis (13th Edition)

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ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

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EXERCISE: An amplifier is formed by cascading two amplifiers with these transfer functions.
What is the gain at low frequencies? What is the gain at f#? What is f#?
25
Ay1(S)
and
Ay2(S)
1+
10,000n
20,000x

Expert Solution

Step 1

Given

$A_{v} (s) = \frac{50}{1 + \frac{s}{10, 000 π}} A_{v} (s) = \frac{25}{1 + \frac{s}{20, 000 π}}$

Overall transfer function of these two cascaded amplifier

$A_{v} (s) = [A_{v1} (s) A_{v2} (s)] A_{v} (s) = [\frac{50}{1 + \frac{s}{10, 000 π}} \frac{25}{1 + \frac{s}{20, 000 π}}] A_{v} (s) = [\frac{1250}{(1 + \frac{s}{10, 000 π}) (1 + \frac{s}{20, 000 π})}]$

Step 2

Calculating DC gain at low frequency

$A_{v} (0) = [A_{v1} (s) A_{v2} (s)] A_{v} (0) = (50) (25) A_{v} (0) = 1250$

Step 3

Calculating gain at upper frequency

$|A ({jω}_{H})| = \frac{A_{mid}}{2} |A ({j2πf}_{H})| = \frac{A_{v} (0)}{2} |A ({j2πf}_{H})| = \frac{1250}{\sqrt{2}} |A ({j2πf}_{H})| = 884$

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EXERCISE: An amplifier is formed by cascading two amplifiers with these transfer functions. What is the gain at low frequencies? What is the gain at f#? What is f#? 25 Ay1(S) and Ay2(S) 1+ 10,000n 20,000x