Problem 1 Find the Thevenin equivalent resistance Rth for the circuit below at terminals A-B. (a) -7 Ω (b) -3 Ω (c) 2 Ω (d) 3 Ω (e) 7 Ω Problem 2 For the circuit below, the short-circuit current Isc in the Norton equivalent circuit is (a) 1 A (b) 2 A (c) 3 A (d) 4 A (e) 5 AProblem 3 For the inductor circuit below, iL(0_) = 0. The inductor current iL(t), in A, is (a) 2-2e_5t (b) 10-10e_5t (c) 10e_5t- 10 (d) 2e_5t – 2 (e) 50e_5t – 50 Problem 4 The equivalent capacitance Ceq for the circuit below is (a) 1 F (b) 2 F (c) 3 F (d) 4 F (e) 5 FProblem 5 The maximum amount of power is transferred to the load resistor RL when RL = (a) 5 Ω (b) 7.5 Ω (c) 10 Ω (d) 40 Ω (e) 55 Ω Problem 6 Two sets of measurements were taken for the linear resistive network shown below (see table below). If Vs1 = 2V and Is2 = 4A, then Vx = (a) -2 V (b) 0 V (c) 2 V (d) 5 V (e) 20 V Vs1 Is1 Vx 10 V 0 A -20 V 0 V 5 A 5 VProblem 7 For the circuit shown below, the value of Vx (in volts) is: (a) 0 (b) 3 sin(ωt) (c) 5 sin(ωt) (d) 10 sin(ωt) (e) 15 sin(ωt) Problem 8 What value of V2 gives the relation Vo = -2V1 + 15? (a) 1V (b) 2V (c) 3V (d) 4V (e) 5VProblem 9 The Thevenin equivalent circuit seen by the variable load resistor at terminals A-B is (a) Voc = 10V, Rth = 0.5Ω (b) Voc = 10V, Rth = 2Ω (c) Voc = 10V, Rth = -2Ω (d) Voc = -10V, Rth = -2Ω (e) Voc = -10V, Rth = 5Ω Problem 10 For the circuit below, VR = 6V. find the value of VR if Iin is changed from 3 A to 6 A. (a) 1 V (b) 3 V (c) 6 V (d) 12 V (e) 24 VProblem 11 Consider the circuit below and find Vc(0_). (a) -50V (b) -100V (c) 0V (d) 50V (e) 100V Problem 12 Find the time constant for the circuit in Problem 11, valid for 0 ≤ t < 10 sec. (a) 1 sec (b) 2 sec (c) 3 sec (d) 4 sec (e) 5 secProblem 13 Find the current iout. (a) -0.4 mA (b) -0.2 mA (c) 0 mA (d) 0.2 mA (e) 0.4 mA Problem 14 Assume an ideal operational amplifier and that the capacitor is uncharged at t = 0. Find the correct expression for the output voltage vo(t), in V, for t > 0. (a) t (b) 2t2 (c) t + 3 (d) 4 (e) 5t2 + 3Problem 15 The inductor voltage vL for t ≥ 0 is as shown below (the part for t < 0 is not shown). It is also known that iL(∞) = 0A. the initial condition iL(0+) is (a) -1 A (b) 1 A (c) -2 A (d) 2 A (e) 0 A Problem 16 For the circuit shown, you are given that VC(0) = 10V, and that the resistors in the circuit dissipate a total energy of 1J in the time interval 0 < t < ∞. The value of C is: (a) 0.01 F (b) 0.02 F (c) 0.05 F (d) 0.2 F (e) 0.5 FProblem 17 The circuit shown has been up and running for a very long time. What is iR? (a) 0 A (b) -1.6 A (c) 1.6 A (d) -2.4 A (e) 2.4 A Problem 18 The amount of charge stored on the capacitor at t = 1 sec is: (a) 0 C (b) 0.37 C (c) 0.74 C (d) 1.82 C (e) 2 CProblem 19 The current in a 50 mH inductor is shown below. Find and plot the inductor voltage. (e) VL = 0 for all tProblem 20 Vin(t) below is applied to the inductor in the circuit below. The inductor current at time t = 0 is 0 A. What is the energy stored in the inductor at time t = 1 s? (a) WL (t = 1 s) = 0 J (b) WL (t = 1 s) = 1.8 J (c) WL (t = 1 s) = 7.2 J (d) WL (t = 1 s) = 180 J (e) WL (t = 1 s) = 720 JWorkout Problem (20 points) The switch in the circuit below has been closed for a long time before it is opened at time t = 0. Solve the four problems below. Make sure that you put your answers in the boxes provided for each problem. Show all steps of your work so partial credit can be assigned. (a) Find iL(t = 0-). iL(t = 0-) = (b) Find iL(t = 0+). iL(t = 0+) =(c) Find the time constant τ (for te−τ time dependence) for t ≥ 0. τ = (d) Find an expression for iL(t) for t ≥ 0. iL(t)
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