Practice 6_AFC - Edgar Bello

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Index 
Objective 3 
Equipment and Material 3 
Theoretical introduction 4 
Development of the practice 4 
Questionnaire 6 
Conclusions 8 
 
 
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“Mesh analysis in AC” 
I.- Objective 
The student will apply and verify the mesh analysis technique through the 
measurement and calculation of currents and voltages in compound electrical 
circuits by a series of meshes, with AC sources 
 
Equipment 
● 1 digital multimeter 
● 1 Function Generator 
● 1 oscilloscope 
● 4 pointed alligator - alligator 
● 4 banana tips - alligator 
● 3 Oscilloscope Tips 
● 1 BNC-BNC tip 
● Cutting pliers 
● Tweezers 
 
Material 
● 1 120W resistor at ¼ w 
● 1 330W resistor at ¼ w 
● 1 470W resistor at ¼ w 
● 1 1kW resistor at ¼ w 
● 1 0.1µF Capacitor 
● 1 Inductor 100mH (or other value) 
● Wire for connections 
● Breadboard 
 
 
 
 
 
 
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II.- Theoretical introduction 
In the analysis of complex electrical circuits such as communication, control circuits, 
motors and generators, distribution networks of power or electronic systems you 
need to apply techniques or methods of appropriate simplification to obtain the 
different current values ​​and voltage required for analysis. 
One of these methods is the so-called ​mesh analysis​. Mesh analysis is used only in 
those networks that are flat, that is, networks that can be drawn on a flat surface 
such that no branch passes over or below any other branch, figure 1a. A mesh is 
defined as a loop that it does not contain any other ties within it. According to this 
definition, Figure 1a has 4 meshes, figure 1b. 
 
 
 
 
 
 
 
 
Figure 1. a) Flat network and) Flat network meshes 
 
The mesh analysis method consists of assigning to each mesh of the circuit a 
current with its direction which is generally in the sense of the hands of the clock, an 
independent current will circulate through each mesh. Once the currents we write 
Kirchhoff's Law of voltages for each element of the mesh in order to obtain a mesh 
equation where the unknowns are the currents circulating through each element of 
the mesh. If they circulate through a branch two currents the total current for that 
branch will be the algebraic sum of the two currents. 
 
Solving the mesh equations, for determinants for example, we obtain the values ​​of 
the mesh currents and with these you can find the values voltage and power for each 
element of the circuit. It is worth mentioning that the number of mesh equations is 
equal to the number of meshes the circuit has. 
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III.- Development 
 
1.- Assemble the circuit shown in the following figure, on the breadboard. A 
Once armed, select the sine waveform and proceed to set the value of the amplitude 
at 5VRMS in the generator, the frequency value will have to be adjusted, as 
indicated in table 1. 
2.- Measure the effective voltage values ​​in both capacitor C1 and L1 inductor and 
record your measurements in Table 1. 
3.- Applying the mesh analysis technique, calculate the effective voltage values 
indicated in table 1 and write them down. 
 
 
 
 
 
 
 
 
 
Frequency (Hz) Measured Values 
V​RMS​ on C1 (Volts) V​RMS​ on L1 (Volts) 
60 4.69V 4.69V 
600 4.5V 4.7V 
6 K 2.25V 4.08V 
60 K 3.65V 3.67V 
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IV.- Questionnaire 
 
1. Define what is reactance and impedance. 
Impedance. Opposition to the flow of electric current in alternating current circuits. 
Reactance. It is the opposition offered to the passage of alternating current by 
inductors (coils) and capacitors. 
 
2. Define what is susceptance and admittance. 
Susceptance. Is the imaginary part of admittance. In the SI units, susceptance is 
measured at Siemens 
The admittance of a circuit is the ease it offers to the passage of current. 
 
3. What relationship exists between the voltage value expressed as Vrms, with the 
Vpp? 
The result of the division between Vrms and Vpp equals 0.3535 
 
 
 
 
 
 
 
 
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V.-Conclusions 
Bello Muñoz Edgar Alejandro 
The combination of the analysis of meshes together with the use of elements such 
as capacitors and inductors allows students to increase their knowledge of various 
strategies to solve different types of circuits, either using alternating current or direct 
current. 
The practice also makes the student perfect the handling of these strategies as well 
as the use of tools for the analysis of problems involving alternating current. 
 
Núñez González Ángel Daniel: 
Mesh analysis has always been a topic to highlight in the field of circuits and it is not 
for nothing, it brings together many other basic topics that are taught throughout the 
course, since ohm's law, Kirchhoff's laws are used. In this practice, when using 
alternating current, the handling of inductors and capacitors is added, this in 
particular is adding more concoctions to the problem, which makes it interesting. 
The use of the oscilloscope in the simulations is an addition to the repertoire of 
knowledge, the representation of the circuits is very important and being the only 
source with which to corroborate the calculations makes it very useful in these 
cases. 
Finally, mesh analysis is not spared by being combined with alternating current. This 
practice helps to know how to solve these kinds of problems. 
 
López Gracia Angel Emmanuel 
The mesh analysis has been useful in the circuits analysis, for AC and DC, we have 
learned how to manipulate this kind of circuits and understood that we cannot treat 
them as the others we have seen before, the practice was kind of difficult without the 
proper supervisor assistance, but at the end, we managed to make the experiment to 
work. 
 
 
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VI.- Bibliography 
Educadina.(2015).”análisis de mallas”.obtenido de: 
https://sites.google.com/site/e91mediosdiitalesricardotrejo/home/1-6-analisis-d
e-mallas​. 
 
Larry, O. (2019). “Análisis fasorial de sistemas electrónicos de corriente 
alterna (CA) Nodos y Mallas”.Obtenido de: 
https://dademuch.com/2019/05/07/analisis-fasorial-de-sistemas-electricos-de-c
orriente-alterna-ca/​. 
 
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https://sites.google.com/site/e91mediosdiitalesricardotrejo/home/1-6-analisis-de-mallas
https://sites.google.com/site/e91mediosdiitalesricardotrejo/home/1-6-analisis-de-mallas
https://dademuch.com/2019/05/07/analisis-fasorial-de-sistemas-electricos-de-corriente-alterna-ca/
https://dademuch.com/2019/05/07/analisis-fasorial-de-sistemas-electricos-de-corriente-alterna-ca/