Considering the principle of duality, which of the following pair is INVALID dual pair?

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  1. Resistance and Conductance
  2. Impedance and Reactance
  3. Voltage and Current
  4. Inductance and Capacitance

Answer (Detailed Solution Below)

Option 2 : Impedance and Reactance
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Duality:

  • Two electrical networks are said to be dual networks if the mesh equations of one network are equal to the node equation of others.
  • Identical behavior patterns observed between voltages and currents in two circuits illustrate the principle of duality.
  • The dual networks are based on Kirchhoff Current Law and Kirchhoff Voltage Law.


Some important dual relations are given below.

Element

Dual element

Resistance

Conductance

Inductance

Capacitance

Series branch

Parallel branch

Mesh

Node

Switch closed

Switch open

Charge

Flux linkage

Voltage source

Current source

Link

Twig

Star network

Delta

π network

T network

Impedance Admittance
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