The George Washington University
School of Engineering and Applied Science
Department of Electrical and Computer Engineering
ECE 11 - Fall 2003
Experiment # 3
DC Thevenin Equivalent Circuits
Equipment:
List the equipment that you will
use for this experiment.
Components:
-
R1 - 300 Ohm Resistor
-
R2 - 470 Ohm Resistor
-
R3 - 560 Ohm Resistor
-
R4 - 680 Ohm Resistor
-
R5 - 750 Ohm Resistor
-
R6 - 910 Ohm Resistor
-
R7 - 4.7 KOhm Resistor
-
R8 - 1 KOhm Potentiometer
Objectives:
-
Analyze and reduce three dc circuits
to their Thevenin equivalents
-
Create all of the necessary diagrams
and data tables to support the analysis

Figure #1
Figure #2
Figure #3
1. - (PreLab
H/W) DC Thevenin Analysis
Based on the class notes, you should
be familiar with the concept DC Thevenin. In this section you are
asked to analyze circuits given to find their Thevenin voltage(Vth), Thevenin
resistance(Rth) and short circuit current(Isc) between terminals A and
B. You will first derive the general formula and then use ORCAD simulator
to find the values of the Vth, Rth and Isc.
1A. For the circuit of Figure #1:
With respect to terminals A and B of the circuit in Figure
#1 and leaving the resistors in their reference designator symbol, DERIVEa
general formula to find:
-
Thevenin Voltage (Vth).
-
Thevenin Resistance (Rth).
-
Short circuit current (Isc).
-
Using nominal values of resistors given in the component section of this
report and V1=6V, use the ORCAD software to simulate the circuit and find
the nominal values for Vth, Rth and Isc. Put these information in
Data
Table 1A.
-
Draw the Thevenin equivalent circuits for Figure #1. Label the circuit
"Figure 1A- Thevenin Equivalent of Figure 1A"
1B. For the circuit of Figure #2:
With respect to terminals A and B of the circuit in Figure
#2 and leaving the resistors in their reference designator symbol,
to DERIVE a general
formula to find:
-
Thevenin Voltage (Vth).
-
Thevenin Resistance (Rth).
-
Short circuit current (Isc).
-
Using nominal values of resistors given in the component section of this
report and V1=6V, V2=9V and V3=12V, use the ORCAD software to simulate
the circuit and find the nominal values for Vth, Rth and Isc. Put
these information in Data Table 1B.
Draw the Thevenin equivalent circuits for Figure #2. Label the
circuit "Figure 1B- Thevenin Equivalent of Figure 1B"
1C. For the circuit of Figure #3:
With respect to terminals A and B of the circuit in Figure
#3 and leaving the resistors in their reference designator symbol, DERIVEa
general formula
to find:
-
Thevenin Voltage (Vth).
-
Thevenin Resistance (Rth).
-
Short circuit current (Isc).
-
Using nominal values of resistors given in the component section of this
report and V1=6V, V2=9V and V3=12V, use the ORCAD software to simulate
the circuit and find the nominal values for Vth, Rth and Isc. Put
these information in Data Table 1C.
Draw the Thevenin equivalent circuits for Figure #3. Label the
circuit "Figure 1C- Thevenin Equivalent of Figure 1C"
2. - DC Thevenin Verification
In this section you will construct the circuits of Figure #1, Figure
#2 and Figure #3. You will then do some detailed measurements to
find voltages, current and thevenin resistances using DMM.
2A. For the circuit of Figure #1:
-
Construct the circuit of Figure #1. DO NOT connect the voltage source
(V1) to the circuit yet. In the place of V1 install an electrical
short using wire. Use DMM to measure the Thevenin resistance (Rth)
between
terminal A and B. Create and put this information in Data Table 2A.
-
Remove the electrical short and connect the voltage source (V1) to the
circuit. Use DMM to measure the voltage drop across each resistor
in the circuit. Put these information in Data Table 2A.
-
Measure VAB with R7 connected and disconnected across
terminal A and B. Put this information in Data
Table 2A.
-
Measure IR7 (current across R7) and put the
result in the Data Table 2A.
-
Build the thevenin circuit of Figure 1A. Set R8 (the 1 K Ohm potentiometer)
to the value of Rth you calculated in part 1. Measure VAB
with R7 connected and disconnected across terminal A and B. Find
also IR7 (current across R7). Place these information
in the Data Table 2A.
-
Compare the value of VAB obtained from part (4) and
(6).
2B. For the circuit of Figure #2:
-
Construct the circuit of Figure #2. DO NOT connect the voltage sources
(V1,V2 and V3) to the circuit yet. In the place of voltage sources
install an electrical short using wire. Use DMM to measure the Thevenin
resistance (Rth) between terminal A and B. Create and put this information
in Data Table 2B.
-
Remove the electrical short and connect the voltage sources (V1,V2 and
V3) to the circuit. Use DMM to measure the voltage drop across each
resistor in the circuit. Put these information in Data Table 2B.
-
Measure VAB with R7 connected and disconnected across
terminal A and B. Put this information in Data
Table 2B.
-
Measure IR7 (current across R7) and put the
result in the Data Table 2B.
-
Build the thevenin circuit of Figure 1B. Set R8 (the 1 K Ohm potentiometer)
to the value of Rth you calculated in part 1. Measure VAB
with R7 connected and disconnected across terminal A and B. Find
also IR7 (current across R7). Place these information
in the Data Table 2B.
Compare the value of VAB obtained from part (4)
and (6).
2C. For the circuit of Figure #3:
-
Construct the circuit of Figure #3. DO NOT connect the voltage sources
(V1,V2 and V3) to the circuit yet. In the place of voltage sources
install an electrical short using wire. Use DMM to measure the Thevenin
resistance (Rth) between terminal A and B. Create and put this information
in Data Table 2C.
-
Remove the electrical short and connect the voltage sources (V1,V2 and
V3) to the circuit. Use DMM to measure the voltage drop across each
resistor in the circuit. Put these information in Data Table 2C.
-
Measure VAB with R7 connected and disconnected across
terminal A and B. Put this information in Data
Table 2C.
-
Measure IR7 (current across R7) and put the
result in the Data Table 2C.
-
Build the thevenin circuit of Figure 1C. Set R8 (the 1 K Ohm potentiometer)
to the value of Rth you calculated in part 1. Measure VAB
with R7 connected and disconnected across terminal A and B. Find
also IR7 (current across R7). Place these information
in the Data Table 2C.
Compare the value of VAB obtained from part (4)
and (6).
3. Conclusions
-
Determine the accuracy of your measurement
data compare to your calculation data. What are the percentage of
errors?
Modified to HTML format by Faisal
Mohd Yasin, cepus@seas.gwu.edu, June 2001 & Sept. 2001.
Modified by Yang Cao, ycao@gwu.edu
Sept, 2003