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 = c₂v² +G₁VA + co for VA ≥ 0, and i VI R = 0 otherwise. N iA + VA a) Solve for iд and và using the analytical method. b) Find the operating point values of the nonlinear element's voltage and current for v₁ = V₁, where V₁ is positive. c) Find the incremental change in iд (given by ia) for an incremental change in v₁ (given by v₁).

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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:
a)
b)
iA = c₂U²₁ + G₁₂VA + co for VA ≥ 0, and iA = 0 otherwise.
CLUA
VI
wwww
R
iA
N
VA
Solve for iд and VA using the analytical method.
Find the operating point values of the nonlinear element's voltage and current for
VI = V₁, where V₁ is positive.
c)
Find the incremental change in iA (given by ia) for an incremental change in v₁ (given
by vi).
Transcribed Image Text: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: a) b) iA = c₂U²₁ + G₁₂VA + co for VA ≥ 0, and iA = 0 otherwise. CLUA VI wwww R iA N VA Solve for iд and VA using the analytical method. Find the operating point values of the nonlinear element's voltage and current for VI = V₁, where V₁ is positive. c) Find the incremental change in iA (given by ia) for an incremental change in v₁ (given by vi).
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