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PROBLEM 4.I Consider the circuit containing a nonlinear element N as shown in Figure 4.54. The v-i relation for N is given by: ia = c2vá + cqVA +co for vA > 0, and ia = 0 otherwise. %3D ww R + VI N Suppose we now replace vj = V1+ vị, where Vı = 10 V and v; = 1 V. iii) Find the value of ia using small signal analysis. (Use iA = IA + ia.) iv) Find the value of ia using the analytical method for vj = V1+ v; = 11 V. v) Now, find the exact value of the ia using ia = ia – IA.

PROBLEM 4.I Consider the circuit containing a nonlinear element N as shown in Figure 4.54. The v-i relation for N is given by: ia = c2vá + cqVA +co for vA > 0, and ia = 0 otherwise. %3D ww R + VI N Suppose we now replace vj = V1+ vị, where Vı = 10 V and v; = 1 V. iii) Find the value of ia using small signal analysis. (Use iA = IA + ia.) iv) Find the value of ia using the analytical method for vj = V1+ v; = 11 V. v) Now, find the exact value of the ia using ia = ia – IA.

Introductory Circuit Analysis (13th Edition)
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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PROBLEM 4.1 Consider the circuit containing a nonlinear element N as shown in Figure 4.54. The v-i relation for N is given by: iA = c2ví + cqVA + co _for va > 0, and ia 0 otherwise. www R VI N VA Suppose we now replace vj = V1+vi, where V1 = 10 V and v; = 1 V. iii) Find the value of ia using small signal analysis. (Use ia = IA + ia.) iv) Find the value of ia using the analytical method for vi = V1 +v; = 11 V. v) Now, find the exact value of the ią using ia = ia – IA. vi) What is the error in the value of ia computed using the small signal method?
Transcribed Image Text:PROBLEM 4.1 Consider the circuit containing a nonlinear element N as shown in Figure 4.54. The v-i relation for N is given by: iA = c2ví + cqVA + co _for va > 0, and ia 0 otherwise. www R VI N VA Suppose we now replace vj = V1+vi, where V1 = 10 V and v; = 1 V. iii) Find the value of ia using small signal analysis. (Use ia = IA + ia.) iv) Find the value of ia using the analytical method for vi = V1 +v; = 11 V. v) Now, find the exact value of the ią using ia = ia – IA. vi) What is the error in the value of ia computed using the small signal method?
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