(a)
To derive: the expression for the voltage transfer function
(a)
Explanation of Solution
Given:
Calculation:
Redraw the given circuit in s -domain as
From the circuit,
Now the transfer function is
Hence
Thus, the required voltage transfer function is
Conclusion:
Thus, the required voltage transfer function is
(b)
To find: The value of
(b)
Answer to Problem 15.18P
The required values are
Explanation of Solution
Given:
Magnitude of the mid band gain is 50
Cut-off frequency
Cut-off frequency
Calculation:
Consider
The magnitude of the voltage transfer function is given by
Given
To determine the cut-off frequency
For
For
Let us consider
The equation (1) becomes,
From equation (2),
Substituting equation (5) in equation (4),
Substitute the values of
Hence the roots are obtained as
Since
Now, substitute the value of
Hence, by substituting the values
Further simplify as
Given
Therefore, the required resistor value is
Now
Therefore, the required capacitor
Conclusion:
Therefore, the required values are
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Chapter 15 Solutions
Microelectronics: Circuit Analysis and Design
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