HW6_2023F

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School

University of Florida *

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Course

3003

Subject

Electrical Engineering

Date

Dec 6, 2023

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pdf

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Uploaded by MegaRhinoceros3801

Fall 2023 EEL3003 HW6 Each "HW part 1" will require a PDF file for submission. • File name) Your last name Your first name initial-HW#.PDF (example: KimG-HW2.PDF) • Page 1) Your final numerical answers with units where applicable for all questions in the problem set. • Subsequent pages) Your complete work (or meaningful attempts for partial credit if you did not arrive at a final answer) for the assigned problem set. This is not scratch paper - neat writing is expected. Rubrics for Part 1 – Graded by Instructor/Peer Mentor 1. 60 points for turning in your solutions and answers to all problems on time, regardless of correctness. 2. Clearly indicate which problem the work is for. 3. No attempt or no meaningful attempt made on a problem: 0 points for the problem. 4. This is not scratch paper. Writings must be legible and neatly written to show logical flow. Illegible assignments may not get credit – grader’s discretion. Make it easy for the graders to give credit. 5. Late submissions will be penalized - see syllabus for policy. 1. Find the total impedance Z at the following frequencies: a. 0 Hz (2 points) b. 40 Hz (2 points) c. 100k Hz (2 points) 2. Find v x (t) in the time domain in the following circuit. (4 points) 1 2 10 mH 10 μ F Z 10 5 ± – ± – 0.1 H 0.2 H 0.005 F 100 cos 40 t V 40 cos ( 40 t - 30 ° ) V v x ( t ) + -

Fall 2023 EEL3003 HW6 3. Find I 1 in the circuit below using nodal analysis . Hint: Reduce the number of nodes first. (4 points) 4. Find the following in the circuit: a. I 1 (1 points) b. I 2 (1 points) c. Vo (2 points) 5. Find the contribution to i (t) in the time domain by the voltage source operating at 10 rad/s. (4 points) 6. Find Ia, Ib, Ic, and Ix using nodal analysis. (1 point each) 3 10 ° A + – + – 3 4 – j 2 j 3 j 2 6 0 ° V 12 0 ° V I 1 ± – ± – i ( t ) 10 1 H 100 cos 10 t V 50 cos ( 20 t - 10 ° ) V Figure P8.69 12 0 ° V 4 90 ° A 2 4 j 2 – j 4 I 1 V o + - ± – I 2

Fall 2023 EEL3003 HW6 7. Find I1, I2, and Ix in the circuit (2 points each): 8. The power company must generate 100 kW to supply an industrial load with 94 kW through a transmission line with 0.09 W resistance. If the load power factor is 0.83 lagging, find the load voltage. (4 points) 9. The power company supplies 40 kW to an industrial load. The load draws 200 A rms from the transmission line. If the load voltage is 240 V rms and the load power factor is 0.8 lagging, find the losses in the transmission line. (4 points) 9.3 ± – V supply R line Industrial Load I rms + Vrms, load - 9.3 ± – V supply R line Industrial Load I rms + Vrms, load -

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