Duality Theorem in Electrical circuits

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Duality Theorem in Electrical circuits

Duality theorem in electrical circuits: Two linear circuits are said to be duals of one another if they are described by the same characterizing equations with dual quantities interchanged.

Duality Theorem


According to Duality theorem, two linear circuits are said to be duals of one another if they are described by the same characterizing equations with dual quantities interchanged.


Network and its duals are same only with respect to the performance, but the elements and connection points of view are not equal.

Read Also: Reciprocity Theorem with Examples

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Dual Quantities Electrical

The dual quantities are as follows:
Resistance R ↔ Conductance G
Inductance L ↔ Capacitance C
Impedance Z ↔ Admittance Y
Voltage V ↔ Current i
Voltage source ↔ Current source
Node ↔ Mesh
Series ↔ Parallel path
Open circuit ↔ Short circuit
Star network ↔ Delta network
KCL ↔ KVL
Nortons ↔ Thevenins

Find the dual of the given network

Find the dual of the given network

Determine the dual of the network

Determine the dual of the network

Solution

duality circuit solution

Dual Circuit

dual circut

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Electrical Circuit Theorems

  1. Substitution Theorem & Examples
  2. Reciprocity Theorem with Examples
  3. Duality Theorem in Electrical circuits

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