E3 - Hacettepe University, Department of Electrical and Electronics

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HACETTEPE UNIVERSITY
DEPARTMENT OF ELECTRICAL & ELECTRONICS ENGINEERING
ELE 271 MEASUREMENT LABORATORY
EXPERIMENT #3
THEVENIN, NORTON
PRINCIPLES
THEOREMS
&
LINEARITY,
SUPERPOSITION
Object :
Experimental verification of the Thevenin, Norton Theorems and linearity,
superposition principles.
Theory :
The details are given in the ELE 203 Circuit Theory I course notes.
1. PRELIMINARY WORK :
1.1 For the circuit given in figure.1, find the Thevenin and Norton equivalent
circuits with respect to terminals a and b.
100 Ω
330 Ω
a
120 Ω
220 Ω
RL
220 Ω
10mA
11V
+
b
Figure.1
1.2 For the circuit given in figure.2, calculate Vab , I ab for Vin = 2V, 4V, 6V, 8V
and 10V . Sketch Vab vs. Vin , Vab vs. I ab and calculate the slopes.
220 Ω
+
V
in
+
-
330 Ω
V
ab
I
ab
-
Figure.2
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1.3 By use of the superposition principle, find Vab given in figure.3.
10V
330 Ω
- +
a
+
220 Ω
100 Ω
10mA
V
ab
b
Figure.3
2. EXPERIMENTAL WORK :
2.1 Set-up the circuit shown in figure.1
a) Connect a voltmeter between a and b, and measure the voltage Vab
b) Connect an ammeter between a and b, and measure the current I ab .
c) Replace current and voltage sources with the o/c and s/c respectively and
then, measure the equivalent resistance between a and b .
2.2 Set up the circuit in figure. 2, and measure the voltage Vab and the current
I ab .for Vin = 2V, 4V, 6V, 8V and 10V .
2.3 Set up the circuit in figure. 3.
a) Connect current source only, and measure Vab .
b) Connect voltage source only, and measure Vab .
c) Connect both of the sources at the same time , and measure Vab .
3. RESULTS and CONCLUSION :
3.1 Compare your theoretical and practical Thevenin and Norton equivalent
circuits and comment on differences.
3.2 By using measured values in step 2.2, sketch Vab vs. Vin , Vab vs. I ab and
calculate the slopes. What are the meanings of these slopes?
3.3 By using measured values in step 2.3, prove the superposition principle.
EQUIPMENTS AND COMPONENTS :
DC power supply
10 mA. current source
AVO meter
Resistors: 100Ω (#1), 120Ω (#1), 220Ω (#2), 330Ω (#1)
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HACETTEPE UNIVERSITY
DEPARTMENT OF ELECTRICAL & ELECTRONICS ENGINEERING
ELE 271 MEASUREMENT LABORATORY
EXPERIMENT #3
Experiment Date:
Group No
:
Group Members :
RESULTS :
2.1 a) Vab =
b) I ab =
c) Rab =
2.2
Vin
2V
4V
6V
8V
10V
2.3 a)Vab .=
Vab
I ab
b)Vab .=
c)Vab .=
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