Material Testing and Circuit Analysis: Superposition and Thevenin

This assignment solution focuses on material testing and circuit analysis techniques. It covers superposition and Thevenin equivalent circuits, providing detailed calculations and explanations. The solution explores RLC series circuits, including impedance calculations, and discusses how complex waveforms are produced from sinusoidal waveforms in electrical devices. It also includes SI unit conversions and a list of references. The assignment demonstrates the application of the scientific method in analyzing circuits and understanding their behavior under different conditions. The student has provided a comprehensive analysis of various circuit elements and their interactions, offering a solid understanding of fundamental electrical engineering concepts. This solution will be a valuable resource for students studying electrical engineering.

MATERIAL TESTING USING
SCIENTIFIC METHOD

Superposition, The veninSuperposition, The venin

 SuperpositionSuperposition
 This is a technique that is used in the analysis of the circuit. ItThis is a technique that is used in the analysis of the circuit. It
includes turning off all the sources except 1.Addition is laterincludes turning off all the sources except 1.Addition is later
done.done.
 Thevenin Equivalent CircuitsThevenin Equivalent Circuits
 Allows replacement of a circuit at a given terminal of two pointsAllows replacement of a circuit at a given terminal of two points
within the voltage source.within the voltage source.

SuperpositionSuperposition
 Since resistors are non linear elements, theSince resistors are non linear elements, the
produced output is related linearly to the input.produced output is related linearly to the input.
 Addition of voltages around the loop can be done.Addition of voltages around the loop can be done.
 Description becomes that voltage across the resistorDescription becomes that voltage across the resistor
is the algebraic sum.is the algebraic sum.
 Contribution of each source can be another way ofContribution of each source can be another way of
circuit analysis.circuit analysis.

Superposition 2Superposition 2
 Consideration is given to only oneConsideration is given to only one
independent source.independent source.
 A wire at 0 v is used for replacementA wire at 0 v is used for replacement
 Open loop circuit replace current sources.Open loop circuit replace current sources.
 The circuit variables controls independentThe circuit variables controls independent
sources hence they are left intact.sources hence they are left intact.

Superposition 3Superposition 3
 In order to solve any circuit usingIn order to solve any circuit using
superposing method, there is need ofsuperposing method, there is need of
repetition of independent sourcesrepetition of independent sources
 .Algebraic sum will assist in getting the.Algebraic sum will assist in getting the
total voltage.total voltage.

Circuit diagramCircuit diagram
Data
B1=7V B2=10V R1=4Ω R2=6Ω R3=6Ω

CalculationsCalculations
using one battery sourceusing one battery source
1 2
Re 1 2
6*6
Re 3
6 6
1 Re
4 3
7
1
1 1
flowwing to R1=I1=1
flowwing to R2=I2=0.5
flowwing to R3=I3=0.5
R R
R R
Rtotal R
Rtotal
B
I A
Rtotal
current
current
current
 
  

 
 
 
 




Calculation using 2Calculation using 2ndnd sourcesource
3 2
Re 3 2
4*6
Re 2.4
4 6
1 Re
2.4 6
8.4
1
3 1.19
flowwing to R3=I3=1.19A
flowwing to R2=I2=0.092A
flowwing to R1=I1=0.714A
R R
R R
Rtotal R
Rtotal
B
I A
Rtotal
current
current
current
 
  

 
 
 
 

Final ResultsFinal Results
 TOTAL CURRENT THROUGH
R1=0.286A
 TOTAL CURRENT THROUGH R2=0.96A
 TOTAL CURRENT THROUGH R1=0.69A

Thevenin Equivalent CircuitsThevenin Equivalent Circuits
It is made up of resistor series that isIt is made up of resistor series that is
combined with voltage source.combined with voltage source.
 This normally useful in the black boxThis normally useful in the black box
provision.provision.

Finding a TECFinding a TEC
 Procedure:Procedure:
 Perform load disconnection in the open circuit so asPerform load disconnection in the open circuit so as
to calculate voltage.to calculate voltage.
 Obtain equivalent resistance in the circuit throughObtain equivalent resistance in the circuit through
replacing current sources that are independent andreplacing current sources that are independent and
remove voltage sources.remove voltage sources.