Consider the circuit below. + VA + Va 2R VC Va is "small" ip Characteristics of nonlinear device: iD = 0 when VD≤0 2 iD = Kvp when vp> 0 VD> = a. By KCL and KVL, obtain the differential equation that governs the circuit. Write down Vin VA + va for brevity, and then write down the differential equation in terms of the state variable vc(t). b. Suppose Vin is just the operating point voltage V₁. Obtain the operating point voltage VD when the circuit reaches its steady state. c. At the circuit's steady state, what is the voltage that has been charged to the capacitor? 2R wwww www R wwwwww iD + VD

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Consider the circuit and please answer and explain a little a, b, and c. Need ASAP pls.

Consider the circuit below.
VA + Va
2R
VC
-
Va is "small"
ip
Characteristics of nonlinear device:
0 when VD≤0
iD
p
2
iD
Kvp when vp>0
VD
=
a. By KCL and KVL, obtain the differential equation that governs the circuit. Write down Vin
VA + va for brevity, and then write down the differential equation in terms of the state variable
vc(t).
b. Suppose Vin is just the operating point voltage VA. Obtain the operating point voltage VD when
the circuit reaches its steady state.
c. At the circuit's steady state, what is the voltage that has been charged to the capacitor?
d. A small signal cosine burst with amplitude va and angular frequency w was introduced when the
circuit has reached its steady state. Draw the small signal model.
e. Solve for the small signal response of vc(t)
2R
wwww
=
+
R
www
ip
+
VD
Transcribed Image Text:Consider the circuit below. VA + Va 2R VC - Va is "small" ip Characteristics of nonlinear device: 0 when VD≤0 iD p 2 iD Kvp when vp>0 VD = a. By KCL and KVL, obtain the differential equation that governs the circuit. Write down Vin VA + va for brevity, and then write down the differential equation in terms of the state variable vc(t). b. Suppose Vin is just the operating point voltage VA. Obtain the operating point voltage VD when the circuit reaches its steady state. c. At the circuit's steady state, what is the voltage that has been charged to the capacitor? d. A small signal cosine burst with amplitude va and angular frequency w was introduced when the circuit has reached its steady state. Draw the small signal model. e. Solve for the small signal response of vc(t) 2R wwww = + R www ip + VD
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