A1262432863GNqOB

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SUMMARY ON NODAL AND MESH ANALYSIS
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• Both techniques provide systematic steps in
  solving electric circuit

• Nodal applicable to all circuits, Mesh only
  applicable to planar circuit

• NOT ALL circuits require nodal or mesh analysis
  to solve them.

• If nodal or mesh analysis is required, choose the
  one which will give the fastest or simplest steps

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Nodal versus Mesh Analysis

• To select the method that results in the smaller
  number of equations. For example
• Choose nodal analysis for circuit with fewer
  nodes than meshes.
• Choose mesh analysis for circuit with fewer
  meshes than nodes.
• Networks that contain many series connected
  elements, voltage sources, or supermeshes are
  more suitable for mesh analysis.
• Networks with parallel-connected elements,
  current sources, or supernodes are more suitable
  for nodal analysis.
• If node voltages are required, it may be
  expedient to apply nodal analysis
• If branch or mesh currents are required, it
  may be better to use mesh analysis.

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NODAL ANALYSIS
Step 1
Determine the reference node typically the one
with the most branches
Step 2
Assign the rest of the nodes with node voltages
(referred to the reference node)
Step 3
Write down equations using KCL for every
non-reference node in terms of node voltages
Step 4
Obtain the node voltages by solving the
simultaneous equations in step 3
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NODAL ANALYSIS
va
vb
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NODAL ANALYSIS
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NODAL ANALYSIS
va
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NODAL ANALYSIS
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NODAL ANALYSIS
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NODAL ANALYSIS
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NODAL ANALYSIS
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NODAL ANALYSIS
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NODAL ANALYSIS
Constraint equation
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MESH ANALYSIS
Step 1
Assign mesh currents to the meshes
Step 2
For every mesh, apply KVL Using Ohms law,
write down the equations in terms of mesh currents
Step 3
Solve mesh currents in equations obtained in step
2, simultaneously
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MESH ANALYSIS
Mesh 1 -Vs R1(i1 i2) R2(i1 i3) 0
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MESH ANALYSIS
Mesh 2 i2 Is
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MESH ANALYSIS
Is
Mesh 2 i2 Is
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MESH ANALYSIS
Constraint equation i1 i3 Is