Download - 2-10 Systematic Solution Methods Part 2
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Dr. Bonnie Ferri
Linear Circuits
School of Electrical and Computer Engineering
Professor and Associate ChairSchool of Electrical and Computer Engineering
An introduction to linear electric circuit elements and a study of circuits containing such devices.
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Dr. Bonnie Ferri
Systematic Solution Methods: Part 2
School of Electrical and Computer Engineering
Professor and Associate ChairSchool of Electrical and Computer Engineering
Introduce several ways of obtaining circuit equations.
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Resistance Kirchhoff’s Laws Resistors
Module 2: Resistive Circuits
Resistors Superposition Systematic Solution Methods Maximum Power Transfer Application: Sensors
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Demonstrate Thévenin equivalent and Norton equivalent circuits Source transformations
Lesson Objective
Source transformations
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Systematic solution MethodsMethod Summary When to ApplyMesh Analysis KVL to obtain simultaneous
equations for currents• Multiple currents are needed• Current sources are present
Node Analysis KCL to obtain simultaneous • Multiple voltages are needed
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Node Analysis KCL to obtain simultaneous equations for voltages
• Multiple voltages are needed• Voltage sources are present
Thévenin and NortonEquivalent Circuits
Simple equivalent circuits, source transformations
• Intermediate values notimportant; only output voltage or current
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Thévenin Equivalent
≈
a
Circuit vTh -
+vThRTh
aisc
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Replace circuit with equivalent resistance and voltage source
bb
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vTh : open circuit across a-b and find vab= vTh
isc : short circuit across a-b and find isc
Thévenin Equivalent CircuitscThTh iRv =
a aisc
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RTh : circuit resistance with voltage sources shorted and current sources open circuited (when no dependent sources are present)
b
a
Circuit vTh
b
a
Circuit
sc
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Thévenin Equivalent Example0.2A
-
+1vvo
2ΩRo
+
-4Ω
10Ω
8
-
+
2v
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Norton Equivalent Circuit
-
+vThRTh
aisc
iscRTh
a
≈
9
b b
Source Transformation: these configurations are interchangeable in a circuit
Thévenin equivalent circuit Norton equivalent circuit
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Source Transformation Example0.2A
-
+1vvo
2ΩRo
+
-4Ω
10Ω
10
-
+
2v
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Mesh and node analysis Systematic ways to find independent
simultaneous equations Thévenin and Norton methods
Summary
Thévenin and Norton methods Replace most of the circuit with a simple
equivalent circuit Source transformations Extra worked problems are given on
these methods
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Maximum Power Transfer Uses Thévenin equivalent circuit to find the load to
Next Lesson
Uses Thévenin equivalent circuit to find the load to maximize power delivered
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