PROBLE M 4.I Consider the circuit containing a nonlinear element N as shown in Figure 4.54. The -i relation for N is given by: ia = c2vá + cVA + co for vA 2 0, and ia = 0 otherwise. www R + VI N VA A. Suppose we replace the source vi with a DC voltage VI in series with a smal time-varying voltage vị = vo cos(wt). Determine the time varying component of ia. B. Suppose we now replace vj = Vj+ Vi, where V1 = 10 V and v; = 1 V. i) Find the bias point DC current IA corresponding to V1 = 10 V. ii) Find the value of ią corresponding to v; = 1 V using small signal analysis.

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PROBLE M 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 + ¢1VA +co_for vĄ > 0, and ia
0 otherwise.
ww-
R
VI
N
VA
A. Suppose we replace the source v¡ with a DC voltage VỊ in series with a small
time-varying voltage v¡ = vo cos(@t). Determine the time varying component of iA-
B.Suppose we now replace vj = V1+vi, where Vj = 10 V and v; = 1 V.
i) Find the bias point DC current IA corresponding to VỊ
ii) Find the value of ia corresponding to v; = 1 V using small signal analysis.
10 V.
Transcribed Image Text:PROBLE M 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 + ¢1VA +co_for vĄ > 0, and ia 0 otherwise. ww- R VI N VA A. Suppose we replace the source v¡ with a DC voltage VỊ in series with a small time-varying voltage v¡ = vo cos(@t). Determine the time varying component of iA- B.Suppose we now replace vj = V1+vi, where Vj = 10 V and v; = 1 V. i) Find the bias point DC current IA corresponding to VỊ ii) Find the value of ia corresponding to v; = 1 V using small signal analysis. 10 V.
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