TRƯỜNG ĐẠI HỌC SƯ PHẠM KỸ THUẬT
TP. HỒ CHÍ MINH
ELECTRICAL AND ELECTRONIC
PRINCIPLES
WEEK 2
Cuong Q. Ngo
Last classes
• Branch; node; loop
• KCL
• KVL
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CONTENTS (Today)
• Methods of analysis
• Thevenin’s theorem
• Norton theorem
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Methods of analysis
• Mesh analysis
• Nodal analysis
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1.1 Mesh analysis
• A mesh is a loop which does not contain any other loops
within it.
• Paths abefa and bcdeb are meshes, but path abcdefa is not
a mesh.
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1.1 Mesh analysis
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1.1 Mesh analysis
• Find the branch currents and using mesh analysis
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1.1 Mesh analysis
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1.1 Mesh analysis
• Use mesh analysis to find the current in the circuit below
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1.1 Mesh analysis
• Solution
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1.1 Mesh analysis
• Mesh Analysis with Current Sources
– Case 1: When a current source exists only in one mesh
• In the above circuit, we set i2 = - 5 A
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1.1 Mesh analysis
• Mesh Analysis with Current Sources
– Case 2: When a current source exists between two
meshes
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1.2 Nodal analysis
• Nodal analysis provides a general procedure for analyzing
circuits using node voltages as the circuit variables.
•
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1.2 Nodal analysis
• Calculate the node voltages (1; 2) in the circuit below
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1.2 Nodal analysis
• At node 1
• At node 2
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2.1 Thevenin’s theorem
• Finding Vth and Rth
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2.1 Thevenin’s theorem
• If the network has dependent source
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2.1 Thevenin’s theorem
• Find the Thevenin equivalent circuit of the circuit to the left of
terminal a-b
• Then find the current through RL = 6, 16 Ω
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• Answer
Rth = 4; Vth = 30
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2.1 Thevenin’s theorem
• Problem 1
• Using Thevenin’s theorem, find the equivalent circuit to the
left of the terminals a-b in the circuit below. Then find I.
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• Answer
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2.1 Thevenin’s theorem
• Problem 2*
• Find the Thevenin equivalent of the circuit at the terminals: ab
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• Answer
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Norton’s theorem
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Norton’s theorem
• Finding Norton current
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