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.

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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.

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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