Homework Answers
Name: Section: Jan. 31, 2018 1. Consider the circuit shown in figure 1 (a) Write the...
Name: Section: Jan. 31, 2018 1. Consider the circuit shown in figure 1 (a) Write the mesh-current equations for the circuit. DO NOT SOLVE. (b) Write the node.voltage equations for the cireuit. DO NOT SOLVE 2. Consider the circuit shown in figure 2. The sinusoidal source is v,(04 sin (100t+90) volts (a) Transform the circuit to the frequency domain. (b) Use phasors with the mesh-current method to find the steady state expression for i(t). (c) Find the average power absorbed...
Question 1: For the circuit below: R С MH + + Vin L Vout Given that:...
Question 1: For the circuit below: R С MH + + Vin L Vout Given that: R= 151, ZŁ= 35 2 and Zc = Answer the following questions: a. Calculate the input Admittance Yin(s) =1/ Zin(s) b. Consider Yin(s) as the system's transfer function, calculate the following: 1. Wp: 2. Bw: 3. W1 and W2: 4. Hm: C. Draw the second order response on the graph below (show W1, W2, HM values): |(200) DRESSE
Question 1: (5 marks) Consider a two-species model for populations Ni and N2 follows as N1 (a -bN1 cN2) dt N2 (d -...
Question 1: (5 marks) Consider a two-species model for populations Ni and N2 follows as N1 (a -bN1 cN2) dt N2 (d - eN2 - Ni) dt (a) What kind of interaction does this system of equations represent? (b) Show that the equations can be simplified to dn1 an n1 (1 d7 dn2 Bn2 (1n2-n1). dT mT into the system of equations and picking by substituting N = kn\, N2 = ln2 and t appropriate constants k, l and m...
R: 1 , 5.1 C .022 μF L: 47 mH WA v; () Fig. 4 -...
R: 1 , 5.1
C .022 μF
L: 47 mH
WA v; () Fig. 4 - RLC circuit powered by the function generator set to a square wave The inductor voltage can be solved by first determining the circuit current, then by differentiating the current using the following equation. For the details of the RLC circuit theory please refer to the lecture notes. ve = Leate 1 = 0 on R C off VZORL Fig. 5 - Model of the...
Question 1 (4 Marks) 1) In the circuit shown, find / and V, using the ideal...
Question 1 (4 Marks) 1) In the circuit shown, find / and V, using the ideal diode model. 240 2) Consider the given circuit a. Design R for an output voltage of 1.5 V. Assume identical diodes with land Is 104 A. b. Explain why the circuit could be used for supply noise regulation
Question 4 (25 Marks) (5) 1. Derive the Dynamic Emitter Resistance, re that is used in...
Question 4 (25 Marks) (5) 1. Derive the Dynamic Emitter Resistance, re that is used in the re-model small-signal analysis of BJT. 2. The circuit in Figure 7 shows the multistage cascade of two single transistors with B=100. Given the value of Vpp=12 V, R1=120 kN, R2=40 kN, R3=100 ks, Ra=30 kn, RE1=3.9 kN, Rez=4.5 kN, Rc1=6.5 kN, Rc2=8 ks, (2) (4) (a) Identify the transistor configuration for all stages. (b) Determine the d.c collector current (Ici and I cz)...
Question 1 [22 marks] (Chapt ers 2, 3, 4, 5, and 6) Let A e Rn...
Question 1 [22 marks] (Chapt ers 2, 3, 4, 5, and 6) Let A e Rn be an (n x n) matrix and be R. Consider the problem 1 (P2) min2+ s.t. xe R" 1Ax-bil2 1 where & > O is fixed and Il IIl denot es the 2-norm. Call g.(x)=l|2 the objective function of problem (P2) 1Ax-bl2 i) [3 marks] Compute the gradient of g, and use it to show that the solution xi of this problem verifies (I+EATA)(x)...
Question 5 [2 + 2 + 2 + 3 + 3 = 12 marks ] (a)...
Question 5 [2 + 2 + 2 + 3 + 3 = 12 marks ] (a) Briefly explain why we cannot find simultaneous eigenfunctions of Lg, Ly and Lz. An electron in a hydrogen atom is in the n = 2 state. Ignoring spin, write down the list of possible quantum numbers {n, l, m}. (b) For two qubits briefly explain, giving examples, the difference between a product state and an entangled state (c) Consider a system of identical bosons...
Course and Section cto EXPERIMENT ac series-Parallel Sinusoidal Circuits OBJECTIVES 1. Measure th...
Course and Section cto EXPERIMENT ac series-Parallel Sinusoidal Circuits OBJECTIVES 1. Measure the currents of series-parallel R-L and R-C networks using sensing resistors 2. Demonstrate the Pythagorean relationship between the currents of the networks. 3. Measure the phase angles associated with the currents of the networks. 4. Calculate the input impedance of a parallel network using measured values EQUIPMENT REQUIRED Instruments Resistors 1-10-Q, 470-Ω, l-kM (14.W) Inductors 1-10-mH Capacitors 1-0.02-pF I-DMM 1--Oscilloscope 1-Audio oscillator or function generator 1--Frequency counter (if...
B oth 100 Day PH262 Page 1 of 5 Lab #13 AC Circuits, Part 1 RC...
B oth 100 Day PH262 Page 1 of 5 Lab #13 AC Circuits, Part 1 RC & RL, Phase Measurements THEORY The rotating phase representation for series AC circuits should be familiar from textbook and lecture notes A brief outline of the essential points is provided here. If a series RLC circuit is connected across a source of om which is a sinusoidal function of time, then und all its derivatives will also be inside. Sonce all demits in a...
Name: Section: Jan. 31, 2018 1. Consider the circuit shown in figure 1 (a) Write the mesh-current equations for the circuit. DO NOT SOLVE. (b) Write the node.voltage equations for the cireuit. DO NOT SOLVE 2. Consider the circuit shown in figure 2. The sinusoidal source is v,(04 sin (100t+90) volts (a) Transform the circuit to the frequency domain. (b) Use phasors with the mesh-current method to find the steady state expression for i(t). (c) Find the average power absorbed...
Question 1: For the circuit below: R С MH + + Vin L Vout Given that: R= 151, ZŁ= 35 2 and Zc = Answer the following questions: a. Calculate the input Admittance Yin(s) =1/ Zin(s) b. Consider Yin(s) as the system's transfer function, calculate the following: 1. Wp: 2. Bw: 3. W1 and W2: 4. Hm: C. Draw the second order response on the graph below (show W1, W2, HM values): |(200) DRESSE
Question 1: (5 marks) Consider a two-species model for populations Ni and N2 follows as N1 (a -bN1 cN2) dt N2 (d - eN2 - Ni) dt (a) What kind of interaction does this system of equations represent? (b) Show that the equations can be simplified to dn1 an n1 (1 d7 dn2 Bn2 (1n2-n1). dT mT into the system of equations and picking by substituting N = kn\, N2 = ln2 and t appropriate constants k, l and m...
R: 1 , 5.1
C .022 μF
L: 47 mH
WA v; () Fig. 4 - RLC circuit powered by the function generator set to a square wave The inductor voltage can be solved by first determining the circuit current, then by differentiating the current using the following equation. For the details of the RLC circuit theory please refer to the lecture notes. ve = Leate 1 = 0 on R C off VZORL Fig. 5 - Model of the...
Question 1 (4 Marks) 1) In the circuit shown, find / and V, using the ideal diode model. 240 2) Consider the given circuit a. Design R for an output voltage of 1.5 V. Assume identical diodes with land Is 104 A. b. Explain why the circuit could be used for supply noise regulation
Question 4 (25 Marks) (5) 1. Derive the Dynamic Emitter Resistance, re that is used in the re-model small-signal analysis of BJT. 2. The circuit in Figure 7 shows the multistage cascade of two single transistors with B=100. Given the value of Vpp=12 V, R1=120 kN, R2=40 kN, R3=100 ks, Ra=30 kn, RE1=3.9 kN, Rez=4.5 kN, Rc1=6.5 kN, Rc2=8 ks, (2) (4) (a) Identify the transistor configuration for all stages. (b) Determine the d.c collector current (Ici and I cz)...
Question 1 [22 marks] (Chapt ers 2, 3, 4, 5, and 6) Let A e Rn be an (n x n) matrix and be R. Consider the problem 1 (P2) min2+ s.t. xe R" 1Ax-bil2 1 where & > O is fixed and Il IIl denot es the 2-norm. Call g.(x)=l|2 the objective function of problem (P2) 1Ax-bl2 i) [3 marks] Compute the gradient of g, and use it to show that the solution xi of this problem verifies (I+EATA)(x)...
Question 5 [2 + 2 + 2 + 3 + 3 = 12 marks ] (a) Briefly explain why we cannot find simultaneous eigenfunctions of Lg, Ly and Lz. An electron in a hydrogen atom is in the n = 2 state. Ignoring spin, write down the list of possible quantum numbers {n, l, m}. (b) For two qubits briefly explain, giving examples, the difference between a product state and an entangled state (c) Consider a system of identical bosons...
Course and Section cto EXPERIMENT ac series-Parallel Sinusoidal Circuits OBJECTIVES 1. Measure the currents of series-parallel R-L and R-C networks using sensing resistors 2. Demonstrate the Pythagorean relationship between the currents of the networks. 3. Measure the phase angles associated with the currents of the networks. 4. Calculate the input impedance of a parallel network using measured values EQUIPMENT REQUIRED Instruments Resistors 1-10-Q, 470-Ω, l-kM (14.W) Inductors 1-10-mH Capacitors 1-0.02-pF I-DMM 1--Oscilloscope 1-Audio oscillator or function generator 1--Frequency counter (if...
B oth 100 Day PH262 Page 1 of 5 Lab #13 AC Circuits, Part 1 RC & RL, Phase Measurements THEORY The rotating phase representation for series AC circuits should be familiar from textbook and lecture notes A brief outline of the essential points is provided here. If a series RLC circuit is connected across a source of om which is a sinusoidal function of time, then und all its derivatives will also be inside. Sonce all demits in a...
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