EE211_212_Fall2023_Sample_Exam_4_Solution (1)

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Pennsylvania State University *

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212

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Electrical Engineering

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Jan 9, 2024

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page 1/13 The Pennsylvania State University Department of Electrical Engineering EE 211/EE 212 Sample Exam #4 Student Name: PSU ID #: NOTE: 1. You have 110 minutes to complete this exam. 2. The exam consists of 20 multiple-choice questions (2 points each), and two workout problems (30 points each). 3. You are only allowed to have one 8.5” x 11” handwritten note sheet (front and back) and a calculator. 4. You are NOT allowed any other notes, textbooks, or other electrical devices. 5. You must show all intermediate steps and calculations clearly. Answers without derivations may receive no credit. Circle the correct answer on the exam booklet, and fill in the answer sheet. 6. During the exam, you may not communicate with anyone other than the instructor. 7. Turn in your note sheet and this exam booklet. 8. ANY cheating will be reported to the university and result in failing the course.

page 2/13 Multiple choice questions; only one correct answer for each question. 1. Let ? = 7.2 − ? 9.2 and ? = 5.3 ∠ 38°. Find ? =A/B. A. ? = 11.7 ∠ − 90° B. ? = 4.11 ∠ − 51.95° C. ? = 11.7 ∠ 52° D. ? = 2.2 ∠ − 90° E. ? = 0.45 ∠ 90° 2. Find the amplitude of the voltage 𝑣(?) = 25sin (35t+60  ) V. A. 60  B. 25 V C. 30  D. 60 rad/s E. 35 rad/s 3. Given the complex numbers a = − j 6 and b = 20  36.9  , compute c = a + b and give the result in rectangular form. A. 0.8 − j 5.4 B. 4 − j 2 C. 16 + j 6 D. 4 + j 10.8 E. 10 + j 6

page 3/13 4. Let ? ( ? ) = 7 cos (50 ? − 12°) A. Determine 𝐼 ̃ , the phasor representation of ? ( ? ). A. 𝐼 ̃ = 7 ∠ − 12° A B. 𝐼 ̃ = 7 ∠ 12° A C. 𝐼 ̃ = 50 ∠ -12° A D. 𝐼 ̃ = 7 ∠ 50° A E. 𝐼 ̃ = -7 ∠ 12° A 5. A circuit’s impedance is found to be 𝑍 = (5 + ? 4) Ω. Which of the following circuits could have this impedance? A. B. C. D. Circuits A. and B. E. Circuits B. and C.

page 4/13 6. A circuit element has an impedance of Z = j25  at an angular frequency of 1000 rad/s. Determine the type and the value of the circuit element. 1) 25-  resistor 2) 40- μH inductor 3) 25- mH inductor 4) 40- μF capacitor 5) 25- mF capacitor 7. Determine the equivalent impedance at 1000 rad/s at terminals A-B in the circuit below. A. 25 ( 1 − j )  B. 25 ( 1 + j )  C. 50 ( 1 − j )  D. 50 ( 1 + j )  E. 50 ( 2 − j ) 

page 5/13 8. For the circuit shown below, find the impedance Z. A. (17.5 – ? 3.4) Ω B. (23.8 + ? 12.2) Ω C. (14.9 + ? 7.7) Ω D. (23.8 - ? 12.2) Ω E. (17.5 + ? 3.4) Ω 9. Assume the circuit below is in the sinusoidal steady state and that 𝑣 ? ( ? ) = 25 cos(500 ? + 30°) V. Determine 𝑣 𝑅 ( ? ). A. 22.4 cos(500 ? + 3.4°) V B. 11.2 cos(500 ? + 93.4°) V C. 11.2 cos(500 ? + 3.4°) V D. 1.6 cos(500 ? + 36.7°) V E. 11.2 cos(5000 ? + 93.4°) V

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