Find the approximate location of fZ for the op amp as shown using the values from the previous exercise. What value of RZ is needed to eliminate fZ? Second-gainstageUnity-gainstageTransconductancestageo +VDD+VppM3M4M3M4M5Hi M5CaM1UpUpRzCcM6M6M1M2M1M2I3(|o -Vss-Vss(b)(a)Figure 18.29 (a) Zero cancellation using resistor Rz; (b) elimination of the feed-forward path with M7.

Expression of transconductance gm=2(Kn)(ID) Calculating frequency of zero…

Answered: Second-gain stage Unity-gain stage…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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Find the approximate location of f_Z for the op amp as shown using the values from the previous exercise. What value of R_Z is needed to eliminate f_Z?

Second-gain
stage
Unity-gain
stage
Transconductance
stage
o +VDD
+Vpp
M3
M4
M3
M4
M5
Hi M5
Ca
M1
Up
Up
Rz
Cc
M6
M6
M1
M2
M1
M2
I3(|
o -Vss
-Vss
(b)
(a)
Figure 18.29 (a) Zero cancellation using resistor Rz; (b) elimination of the feed-forward path with M7.

Expert Solution

Step 1

Expression of transconductance

$g_{m} = \sqrt{2 (K_{n}) (I_{D})}$

Calculating frequency of zero

$\begin{array}{rcl} f_{Z} & = & \frac{1}{2 π} (\frac{g_{m}}{C_{C}}) \\ f_{Z} & = & \frac{1}{2 π} (\frac{\sqrt{2 K_{n} I_{D}}}{C_{C}}) \\ f_{Z} & = & \frac{1}{2 π} (\frac{\sqrt{2 (1 m A / V^{2}) (500 μ A))}}{20 p F}) \\ f_{Z} & = & \frac{1}{2 π} (\frac{1 \times 10^{- 3}}{20 \times 10^{- 12}}) \\ = & 7.96 M H z \end{array}$

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