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

Purchase answer to see full
attachment