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.
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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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