Two networks are said to be dual when

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ESE Electrical 2016 Paper 1: Official Paper
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  1. Their node equations are the same
  2. The loop equations of one network are analogous to the node equations of the other
  3. their loop equations are the same
  4. None

Answer (Detailed Solution Below)

Option 2 : The loop equations of one network are analogous to the node equations of the other
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Detailed Solution

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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

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