SUMMARY

Monday, 13 August 2018

12:19 PM

Machine generated alternative text:
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2 
Topic 3 recap 
• Formal circuit analysis aims to derive the smallest set of simultaneous 
equations that completely define the operating characteristics of a circuit. 
• Nodal and mesh analysis are based on the systematic application of 
Kirchhoffs laws. 
Nodal analysis 
• Three steps: 
— Set the reference node and node voltages. 
Apply KCL and use Ohm's law to write currents in terms of node voltages. 
— Solve the set of linear equations for node voltages. 
Nodal analysis with voltage source: 
Case 1: Voltage source is connected to the reference node. 
source 
Case 2: Voltage source is between two non-reference nodes. 
• Form a supernode by enclosing voltage source and any parallel element with it. 
Write the constraint equation relating the node voltages inside the supernode. 
Va — Vb = Vsource

 

Machine generated alternative text:
Topic 3 recap 
Mesh analysis 
• Three steps: 
— Set the mesh currents with arbitrary direction (generally clockwise). 
— Apply KVL and use Ohm's law to write voltages in terms of mesh currents. 
— Solve the set of linear equations for mesh currents. 
Mesh analysis with current source: 
• 
— Case 1: Current source is only in one mesh. 
source 
— Case 2: Current source is shared between two meshes. 
• Form a supermesh by excluding the current source and any series element with it. 
Write the constraint equation relating the mesh currents inside the supermesh. 
source 
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