ECE 2112 King Abdulaziz University Circuits of the RL & RC Series Lab Report

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mlnqz84

Engineering

ECE 2112

King Abdulaziz University

ECE

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I need help with lab report in circuit theory2 all the files you need are attached.I don't want to rush you but I will extend the time after you accept. I need two separate reports for experiment 1 and 2 they are not long, finish what you can and keep me updated. Thanks

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2112 Session 2 Experiment 1 RLC Analysis Voltage Reading for First Peak Time Reading for First Peak Theoretical Simulated Experimental 8.4602 158.7302u 8.61 156u Percent Error Experiment 2 Section A Theoretical Amplitude Phase Vc Vr Section B Theoretical Voltage Vc VL Vr Amplitude Phase Voltage Reading for Second Peak Time Reading for Second Peak Voltage Reading for Third Peak 6.8202 523.8095u 6.0499 5.64 484u 5.15 Simulated Experimental Amplitude Phase Amplitude 2.7633 -56.4498 2.63 4.167 33.55017 4.11 Simulated Experimental Amplitude Phase Amplitude 858.4623m 80.11376 0.80553 858.4623m 80.11376 0.80553 4.92575 -9.88624 4.38 Time Reading for Third Peak 857.1429u 816u Percent Error Phase Amplitude Phase -54.63 32.51 Percent Error Phase Amplitude 52.05 52.05 -8.8 Phase EXPERIMENT #2 SINUSOIDS AND PHASORS Series RL and RC circuits will be analyzed for the phase relationship in the different components. A RLC two loop circuit will be similarly analyzed and Phasor diagrams drawn for both the cases to prove KVL EQUIPMENT Function generator Oscilloscope Digital Multimeter MULTISIM COMPONENTS 25mH Inductor 0.1μF Capacitor 1kΩ and 2.4kΩ Resistor RELEVANT MATERIAL vA(t)= Acos(ωt+φ)...........timedomain VA = Ae jφ = A∠φ ...........phasor domain vA =a+jb..............rectangulardomain phasor rectangular vA = Acosφ + jAsinφ rectangular φ= td b phasor A= a2 +b2 , φ=arctan a ×360 T Lagging = positive td = negative phase angle. Leading = negative td = positive phase angle. I hear and I forget. I see and I remember. I do and I understand. 14 PROCEDURE PART A: 1) Simulate the circuit shown in Figure 2.1 first in MULTISIM 2) Set up the circuit as shown in Figure 2.1 Figure 2.1 Figure 2.1 3) Apply a 10Vp-p sinusoidal input at 1 kHz. 4) Using the oscilloscope, measure the magnitude and phase of the voltage drop across the capacitor. Use Vin as the reference and have one channel placed across it to monitor it at all times. 5) To measure the magnitude and phase across the resistor, you will need to use the MATH function on your oscilloscope. Remember your reference when calculating time- delay. 6) In your report, with Vin as the reference, draw a computer generated phasor diagram (magnitude and angle).Run an AC Sweep from 1Hz to 50kHz. 7) Compare with theoretical values and a theoretical phasor diagram and calculate %error in Table 2.1 below. Table 2.1 Theoretical Simulated Experimental Error Percentage Amplitude Phase Amplitude Phase Amplitude Phase Amplitude Phase VC VR PART B: 1) Simulate the circuit shown in Figure 2.2 first in MULTISIM 2) Set up the circuit as shown in Figure 2.2 Figure 2.2 3) Apply a 10Vp-p sinusoidal input at 1kHz. 4) Using A as the reference for phase measurements, measure the magnitude and phase for VR, VL and VC. The ground point for the signal is given by C.Run an AC Sweep from 1Hz to 50kHz. 5) With Vin as the reference, and with VR, VL and VC, draw a computer generated phasor diagram (magnitude and angle) to prove KVL for each of the loops. 6) Compare with theoretical values and a theoretical phasor diagram and calculate %error in Table 2.2 below Theoretical Simulated Experimental Error Percentage Amplitude Phase Amplitude Phase Amplitude Phase Amplitude Phase VC VL VR Table 2.2 Number of the experiment: (times new roman, font 14 centered aligned) Name of the experiment: (times new roman, font 14 centered aligned) Experiment date: (times new roman, font 14 centered aligned) Submission date: (times new roman, font 14 centered aligned) Your section number: (times new roman, font 14 centered aligned) Your name and student number: (times new roman, font 16, bold centered aligned) Your lab partner’s name: (times new roman, font 14 centered aligned) Your lab instructor’s name: (times new roman, font 14 centered aligned) Page number 1 Purpose of the Experiment: (times new roman, font 14, Line spacing is 1.15, Justify aligned) This should be a brief discussion of the experiment performed and should mention all applicable theories for that particular experiment. This section should be worded in the past tense. Equipment used: (times new roman, font 14, Line spacing is 1.15, Justify aligned) A small list of all the equipment/components used should be mentioned here. The student is expected to list the manufacturer’s name and model number. Procedure: (times new roman, font 14, Line spacing is 1.15, Justify aligned) Every circuit setup should be shown in a schematic form. They should be accompanied by a brief description of the experimental technique. This should be a summary of the experimental procedure in your own words. Routine measurements and adjustment procedures should be omitted. This section should be worded in the past tense and passive voice. Put your circuit diagram in this section. Draw your own circuit diagram. Don’t copy any circuit from lab manual. One circuit diagram per experiment. Figure 1: Captions Page number 2 Table of Results: (times new roman, font 14, Line spacing is 1.15, Justify aligned) Table 1: captions Quantity V (mv, V) Theoretical Simulation Experimental % error |𝑇ℎ−𝐸𝑥𝑝| 𝑇ℎ *100 I (mA, A) If you have multiple tables label them accordingly to your experiment. Make separate tables for separate experiments. Graphs: (times new roman, font 14, Line spacing is 1.15, Justify aligned) This section has to have all the graphs that are discussed/calculated in the experiment. The graphs should be computer generated (e.g. Microsoft Excel, MATLAB, and MULTISIM) and should be accompanied by a title and labeled axis with units. The graphs should also be referenced to their tables in the previous section. Don’t put circuit diagram in here. Circuit diagram are not graphs. Make sure to indicate input, output waveform. Figure 2: Captions Page number 3 Calculations: (times new roman, font 14, Line spacing is 1.15, Justify aligned) All pertinent calculations should be included. Handwritten work will not be accepted. The use of software such as Microsoft Equation Editor is recommended. Put an example of percentage errors. Discussion: (times new roman, font 14, Line spacing is 1.15, Justify aligned) This section is the most important part of the report. It has to demonstrate your understanding of the experiment. The explanations have to be in detail and should refer to other sections in the report whenever needed. All circuits, data, graphs, etc. need to be explained. All results have to be properly explained and should be compared to theoretical expectations as well as simulated results. Be direct and to the point when you interpret your results. Make sure you draw conclusions that demonstrate what you have learned. Appendices: (times new roman, font 14, Line spacing is 1.15, Justify aligned) All handwritten work and software simulations (MULTISIM, MATLAB) should be present in this section. Any attached information has to be first validated by your lab instructor on the day of the experiment (signature & date). Page number 4 EXPERIMENT #1 Second-order RLC circuit Analysis Analyzing a second order circuit for a state variable response. EQUIPMENT Function generator Oscilloscope Triple Output Power Supply PROCEDURE SECTION A: Voltage Measurements. 1. Set up the circuit as shown below in Figure 1.1: Figure 1.1 2. Use the function generator to apply a square wave input of 10Vpk-pk at a frequency of 100Hz. 3. Measure the instantaneous voltage at the peaks of your response. Note down the value of the voltage and time readings 4. Simulate the circuit on MULTISIM. Note that you should use PULSE Voltage as your source. Set TD, TF, TR, DC, AC, V1 to zero and V2 to 5V. Set PW to 5ms and PER to 10ms {MULTISIM constraints}. 5. The simulation for the output should resemble the figure shown below: 6. Fill out Table 1.1 and extend the number of columns according to the number of peaks displayed on your oscilloscope. Time Reading for first peak Voltage Reading for first peak Simulated Experimental Table 1.1 7. Solve for an expression for the state variable vC(t) and iL(t). Be sure to add all your handwritten work in the appendix of your lab report. 8. Add a third row to table 1.1 and input theoretical values at those instantaneous points from your worked out solution from step 8. 9. Plot the matlab response {code given followingly} and comment on the damping effect as seen by your results and compare both your simulated responses with your hardware readings as well as your theoretical expectations. 10. Why was a square wave input used instead of a switch? 11. Solve for the output graph on MATLAB. % Lab 1 % Graphing output for a Series RLC circuit % if you do not understand a function on matlab, use the function "help name_function" R=100; %Ohm L=0.025; %Henry C=10^-7; %Farad VA=5; %Volt inc=10^-5; %Second t1=5*10^-3; %Second t2=10*10^-3; %Second t=(0:inc:t2); %Second %simple rlc circuit in series delta=((R/L)^2-4/(C*L))^(.5); roots_1=(-R/L+delta)/2; roots_2=(-R/L-delta)/2; %Characteristic equation %roots_1 and roots_2 are complex conjugate %for t
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Explanation & Answer

View attached explanation and answer. Let me know if you have any questions.As always, I remain attentive to your comments. 😇

EXPERIMENT #1
Second-order RLC circuit Analysis
Experiment date
Submission date
Your section number

Your name and student number
Your lab partner’s name
Your lab instructor’s name

Page number 1

Purpose of the Experiment
A second order circuit was analyzed for a state variable response

Equipment used
• Function generator Oscilloscope
• Triple Output Power Supply

Procedure
The circuit proposed in the laboratory manual was configured, and the circuit was
simulated in MULTISIM following the considerations proposed in the manual.
Then using a function gene...


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