Fall2023 ECE3120 Homework1 Solutions

Q5/ Determine the Nodal Voltage for the figure 13 V₁ R3 ww 20 z 4A www 12 Ry 202 R₂602 ZA

1. Given the circuit in Figure 2, determine the resistance R₂ such that V₁ = VB. Then find the voltages Vд and VB. Show steps of your calculations. 20 V R₁ 500 Ω. 0 R3 200 Ω R4 R₂ 50 Ω Figure 2: Circuit for Exercise 1 2. Use Multisim Schematics to create the circuit in Figure 3. Assign the resistor R₂ value based on your calculations in previous step. Run the simulation to obtain the DC voltage at terminals VA and VB. Compare the values with the calculated voltages in previous step. Are they identical? Take a screenshot of your Multisim circuit schematic, showing the voltage values, and include it to your lab report. Vs -20V XMM1 +. R1 500 Σ R3 2000 XMM2 R2 R4 ≥500 Figure 3: Multisim Simulation Circuit with instruments for Exercise 1 3. Add a 100 resistor between terminals VA and VB and connect an ammeter to measure the current through the resistor. Is the current value consistent with the expected theoretical value? Justify your answer. Take a screenshot of your Multisim circuit…

A X₁ RA P₁ X₂ P₂ 2 X3 X L 10 C ХА B RB 22 Z P₁ = 30kN; P₂ = 50kN; w= 10kN/m; L = 6m x₁ = 1m; x₂ = 2m; x3 = 3m; x = 5m Find RA and Rg, and draw SFD and BMD

Question 07: Find y.(t) In the circuit shown in Figure 7. Note that, since the voltage input is multiplied by u((), the voltage source is a short for all t < 0 and i(0) = 0. Copyright © The McGraw-Hil Corpanes, Inc Permsson required lor reproduction or display 12 75e 2 u(1) V 2 H 2 S2 Figure 7.

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3. Figure 5 shows a linear graph of a motor driving a heavy rotor. The electric circuit of the motor consists of a voltage source Vs(t) and a resistor with resistance R. The rotor has mass moment of inertia J. The motor is modeled as an ideal transformer with T = kai and V = ka, where i and V are the current and voltage of the motor and T and 2 are the torque and angular velocity of the rotor. Answer the following questions. (a) Determine the driving point impedance Z(s). 2 (b) In an impedance test, the voltage is varied sinusoidally, i.e., Vs(t) = vo coswt, to measure impedance Z(jw) along the pure imaginary axis. Roughly sketch the magnitude of Z (jw) with respect to frequency w. T(t) + R V₁(t) 2 Figure 5: Linear graph of a motor driving a heavy rotor

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5) Please answer in legible and orderly handwriting. If it is not legible, I will not give a positive rating.

2. For the circuit shown in fig. 2. Find the Node Voltages using Nodal Analysis. W voor 20 200 10 I - 6A 20° 20 100 宣 Fig.2 E-30V 20°

8. An R-L series circuit has a reactive power of 1234 VARs and an apparent power of 4329 VA. By how many degrees are voltage and current out of phase with each other? 9. An R-L series circuit contains a resistor and an inductor. The resistor has a value of 6.5 22. The circuit is connected to 120 V and has a current flow of 12 A. What is the inductive reactance of this circuit? 10. What is the voltage drop across the resistor in the circuit in Question 9? 11. A phase angle meter connected in an R-L series circuit indicates that the current is 28 degrees out of phase with the voltage. What is the circuit power factor? 12. An R-L series circuit has a power factor of 73%. If the apparent power is 560 kVA, what is the true power in the circuit?

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