2. The differentiator circuit shown in Fig. 2 uses an OPAMP with ideal characteristics. R2 Vi R1 C'₁ - Vo + Figure 2: Differentiator circuit. (a) Using first principles derive an expression for the gain of this circuit in the frequency domain. (b) If the differentiator's corner frequency is 100 rad s-1, the high frequency gain is 40 dB, and R2 is 220k, determine the values of C₁ and R₁. (c) Sketch the Bode magnitude response for this circuit for the frequency range of 100 to 108 rad s¹. Clearly indicate the steps you followed, including the numerical workings, and assumptions made to obtain this response.

2. The differentiator circuit shown in Fig. 2 uses an OPAMP with ideal characteristics. R2 Vi R1 C'₁ - Vo + Figure 2: Differentiator circuit. (a) Using first principles derive an expression for the gain of this circuit in the frequency domain. (b) If the differentiator's corner frequency is 100 rad s-1, the high frequency gain is 40 dB, and R2 is 220k, determine the values of C₁ and R₁. (c) Sketch the Bode magnitude response for this circuit for the frequency range of 100 to 108 rad s¹. Clearly indicate the steps you followed, including the numerical workings, and assumptions made to obtain this response.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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