N
N V1
V2
Vout
V1 V2 Vout
1 3 6
4 -4 ? 7 -5 ?
Figure 1: Figure for Problems 1 and 2
Figure 1 pertains to Questions 1 and 2. The two linear net- works (labelled N) are identical, and excited by DC voltage sourcesV1and V2, as shown in the figure. WhenV1 = 1V andV2= 3V,Voutis found to be6V.
Q. 1: DetermineVoutwhenV1= 4V andV2=−4V. Q. 2: DetermineVoutwhenV1= 7V andV2=−5V.
i(t)
4cos(t) 3sin(t)
0.25H 4F 1Ω
Figure 2: Figure for Question 3
Q. 3: Determine the amplitude of the sinusoidal current i(t).
Q. 4: In Figure 3, the capacitors have initial conditions as shown. u(t) is the unit step function. Determine Vx as a function of time.
1Ω 1Ω
1F 1F
+ - 1V
+ - + -1V
u(t) − 1Ω
Vx
Figure 3: Figure for Question 4
Q. 5: Let H(s) denote the transfer function of the RLC net- work shown in Figure 4. DetermineH(j1).
1Ω
1H 1F
1H 1F
2H 0.5F
2H
0.5F 2F 0.5H
1Ω
0.5H 2F 1H 1F
Vo
Vi 1H
1H
Figure 4: Figure for Question 5
5.7 V
0.7K
Q1 Q2
Cb
Cb
2.7K 3K
vi 1K
50 vo
VBE,npn=0.7V VT=25mV Cb=infinity
βnpn,pnp=infinity VEB,pnp=0.7V
Figure 5: Figure for Questions 6 and 7 Figure 5 pertains to this problem and the next.
Q. 6: Determine the quiescent collector current of the pnp transistor Q2.
Q. 7: Determine the small signal gainvo/vi.
Q. 8: In Figure 6, determine the output voltage of the opamp.
The diodes have a cut-in voltage of 0.7 V.
− + 10K
5K 20K
20K sin(t)
Figure 6: Figure for Question 8
− +
5 V
VTN=0.5V
|VTP|=0.5V µpCox(W/L)p = 200 µΑ/V2
µnCox(W/L)n = 200 µΑ/V2
I 40K M1
VR
Figure 7: Figure for Questions 9 and 10
Figure 7 pertains to this problem and the next. It is known that a non-zero current flows through the transistors. The opamp is ideal.
Q. 9: Determine the current through M1.
Q. 10: Determine the voltage across the resistor (VR).
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