Lecture 4: Mesh Current Analysis & Source Transformation Nilsson 4.5-4.9 ENG17 : Circuits I Spring...
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Transcript of Lecture 4: Mesh Current Analysis & Source Transformation Nilsson 4.5-4.9 ENG17 : Circuits I Spring...
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Lecture 4:Mesh Current Analysis & Source TransformationNilsson 4.5-4.9
ENG17 : Circuits I
Spring 2015
April 9, 2015
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Overview
• Mesh-Currents• Mesh-Current
w/Dependent Source• Special Cases• Node-Voltage vs.
Mesh-Current• Source
Transformations
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Go Mesh or Go Home
• Mesh = loop with no other loops inside it
• Mesh-Current Method needs [be – (ne – 1)] equations
• Planar circuits only• Mesh current = current that exist only in
the perimeter of a mesh• Mesh current ≠ Branch current
– maybe
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Strategy for Mesh-Current Analysis
1. Assign mesh currents.
2. Apply KVL to each mesh.– Use Ohm’s law to express voltages in terms
of mesh currents
3. Solve the resulting simultaneous equations to get mesh currents.
4. Use mesh currents to find branch currents and/or any other parameter.
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Overview
• Mesh-Currents• Mesh-Current
w/Dependent Source• Special Cases• Node-Voltage vs.
Mesh-Current• Source
Transformations
10
Overview
• Mesh-Currents• Mesh-Current
w/Dependent Source• Special Cases• Node-Voltage vs.
Mesh-Current• Source
Transformations
15
Overview
• Mesh-Currents• Mesh-Current
w/Dependent Source• Special Cases• Node-Voltage vs.
Mesh-Current• Source
Transformations
16
Node…Mesh…and all the rest
• Why are we here?• Difficult answer• Try to make life easier• Supernodes or supermeshes?
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Overview
• Mesh-Currents• Mesh-Current
w/Dependent Source• Special Cases• Node-Voltage vs.
Mesh-Current• Source
Transformations
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Source Transformations
• Akin to series / parallel reductions and delta-to-wye transformation
• Allows a voltage source with resistor in series to be replaced by current source in parallel with same resistor
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Recap
• Mesh-Currents• Mesh-Current
w/Dependent Source• Special Cases• Node-Voltage vs.
Mesh-Current• Source
Transformations