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HANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY SCHOOL OF ELECTRICAL AND ELECTRONIC ENGINEERING CODE 11 Number of pages: 01 Final exam – 2021.1 ET3036: CIRCUIT THEORY Date: 16/02/2022 Time: 70 minutes (Submit only one file in Assignment of MS Teams) Sign approval Course leader/ Lecturer Head of the faculty: Exercise 1 (3p) Given the resistive circuit in Figure 1: a. (1p) Constructed the nodal analysis expressions. b. (1p) Compute ix. c. (1p) Compute the power is generated by 5A – source. Exercise 2: (2p) Draw the circuit using an operational amplifier that is known as the summing amplifier. Given 2 inputs U1 and U2, and the input resistors R1 = R2 respectively, and Rf is the feedback resistor. Then, obtain the output Uout in terms of U1 U2. Exercise 3: (3p) Given the circuit in Figure 2, When t<0, K was closed, the circuit is in a steady state. At t=0: K is opened. Given: Es=9V, R1=R2= 3Ω, L=90mH. a. (1p) Find the initial current through L and voltage across R1 at t=0- and t=0+. b. (1p) Redraw the circuit in the s- domain when K is just opened. c. (1p) Compute the current through L when t>=0. Exercise 4: (2p) Given an RLC series circuit: L=0,2H; R=20Ω; C=0,5mF. That circuit is supplied by a voltage source: es(t)= cos(200t+30)+2.sin(100t) [V]. Find the current flow around the circuit. =====End==== 5A 2A 8Ω 2.ix 3Ω 7A 9Ω Figure1 ix (A) (B) (C) L iL(t) ES R2 R1 K Figure 2

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