In an electric circuit, a 10 V voltage source is connected in series with a 2 Ω resistance. the dual of this circuit consists of:

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SSC JE Electrical 16 Nov 2022 Shift 3 Official Paper
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  1. 10 V voltage source and a 2 S conductance
  2. 5 A current source and a 2 Ω resistance
  3. 10 A current source and a 2 S conductance
  4. 5 A current source and a 2 S conductance

Answer (Detailed Solution Below)

Option 3 : 10 A current source and a 2 S conductance
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Detailed Solution

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The correct answer is option 3): (10 A current source and a 2 S conductance)

Concept:

  • Two electrical networks are said to be dual networks if the mesh equations of one network are equal to the node equation of the other
  • Identical behaviour 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
π network  T network

Calculation:

In an electric circuit, a 10 V voltage source is connected in series with a 2 Ω resistance. the dual of this circuit consists of 10 A current source and a 2 S conductance

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