Download The two problems below replace Diefenderfer & Holton, Chapter 3, Problem 24: D&H problem 3­24 as stated has a typo. There should be an absolute value bracket around the right­

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Transcript
The two problems below replace Diefenderfer & Holton, Chapter 3, Problem 24:
D&H problem 3­24 as stated has a typo. There should be an absolute value bracket around the right­
side, and a "j" in front of the CR2 term. Here is the actual problem that you should solve, the first part is the typo­corrected DH, and the second part is additional:
1. Derive the following transfer function expression for the circuit of Figure E:
vo
vs
=
R2
R2  R1 1 j  C R2 
Figure E: Circuit for DH problems 24, 25.
2. The circuit in Figure E is representative of a real­life capacitor, which is an ideal capacitor in parallel with large resistor. Show that if R2≫R1, then terms of order R1/R2 can be neglected and the gain reduces to the simple low­pass filter gain:
vo
1
=
v s  1 2 R12 C 2
∣∣