EE3530_Spring_2008_Homework_2_Solution

# EE3530_Spring_2008_Homework_2_Solution - 2018 CHAPTER 2....

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2018 CHAPTER 2. DYNAMIC MODELS Problems and Solutions for Section 2.2 9. A f rst step toward a realistic model of an op amp is given by the equations below and shown in Fig. 2.37. V out = 10 7 s +1 [ V + V ] i + = i =0 Find the transfer function of the simple ampli f cation circuit shown using this model. Solution: As i , (a) V in V R in = V V out R f V = R f R in + R f V in + R in R in + R f V out V out = 10 7 s [ V + V ] = 10 7 s μ V + R f R in + R f V in R in R in + R f V out = 10 7 s μ R f R in + R f V in + R in R in + R f V out Figure 2.37: Circuit for Problem 9.

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2019 V out V in = 10 7 R f R in + R f s +1+10 7 R in R in + R f
2024 CHAPTER 2. DYNAMIC MODELS 13. An op amp connection with feedback to both the negative and the positive terminals is shown in Fig 2.41. If the op amp has the non-ideal transfer function given in Problem 9, give the maximum value possible for the positive feedback ratio, P = r r + R in terms of the negative feedback ratio, N = R in R in + R f for the circuit to remain stable. Figure 2.41: Op Amp circuit for Problem 13. Solution: V in V R in + V out V R f =0 V out V + R + 0 V + r V = R f R in + R f V in + R in R in + R f V out =( 1 N ) V in + NV out V + = r r + R V out = PV out V out = 10 7 s +1 [ V + V ] = 10 7 s [ out (1 N ) V in out ]

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2025 V out V in = 10 7 s +1 (1 N ) 10 7 s P 10 7 s N 1 = 10 7 (1 N ) 10 7 P 10 7 N ( s +1) = 10 7 (1 N ) s 10 7 P +10 7 N 0 < 1 10 7 P 7 N P<N 7
2026 CHAPTER 2. DYNAMIC MODELS 14. Write the dynamic equations and f nd the transfer functions for the circuits showninF ig .2 .42 .

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## This note was uploaded on 02/03/2012 for the course EE 3530 taught by Professor Chen during the Fall '07 term at LSU.

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EE3530_Spring_2008_Homework_2_Solution - 2018 CHAPTER 2....

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