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Objectives
1. To disting distinguish uish between between Thevenin’s Thevenin’s and Norton’ Norton’ss Theorem. Theorem. 2. To simplify simplify a complex complex circuit circuit into into a Thevenin Thevenin or Norton Norton equivalent equivalent circuit circuits. s.
List of Instruments
Personal Computer Tina (Software) Ammeter Voltmeter Ohmmeter
Wiring Diagrams •
Main Circuit:
AM1 -12.03mA R1 380
+
VS1 10
+
0 8 6 2 R
A
+
V
+ VS2 15
VM1 -5.65V
0 7 4 3 R
•
For R TH and R N:
R1 380
+
VS1 0
0 8 6 2 R
+
Ω
ZM1 243.77ohms
+ VS20
•
For Thevenin’s equivalent circuit:
-12.02mA
AM1 R1243.77
+
•
+
A
+
VS1-8.58
V
VM1 -5.65V
0 7 4 3 R
For Norton’s equivalent circuit:
AM1 -12.03mA +
m 2 2 . 5 3 1 S I
7 7 . 3 4 2 2 R
A
+
V
VM1 -5.65V
0 7 4 3 R
Data Sheet
Thevenin Norton
VTH -8.58 V I N -35.22 mA
R TH 243.77 Ω R N 243.77 Ω
I1 -12.02 mA I1 -12.03 mA
V1 -5.65 V V1 -5.65 V
Problems and Solution
Analysis
Since the given circuit has an active linear network with a pair of output terminals, Thevenin’s and Norton’s applies in order to simplify the circuit. First the current and the voltage of the circuit is determined in order to compare with the Thevenin’s and Norton’s equivalent circuit. To get the resistance, voltage source must be set to zero and disregard the resistance load. The resistance obtained here is equivalent to TEC and NEC since both uses the same original circuit including the initial current and volage. To get the voltage source of thevenin’s (resistance in series) or the current source (resistance in parallel) of norton’s enter the total resistance to the modified circuit. Or if a parameter is known, Ohm’s law can be applied. Conclusion
Certain circuits can be simplified by using Thevenin’s or Norton’s Theorem. A linear network can be transformed into a voltage source or into a current source. Equivalent Resistance is essential for the calculation of TEC and NEC. Ohm’s law is useful in this theorem.
