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The concept of "duality" in network synthesis refers to :

  • A.The relationship between input and output signals in a system
  • B.The interchangeability of resistors and capacitors in a network
  • C.The dual representation of a network in terms of nodes and branches
  • D.The ability of a network to exhibit both series and parallel elements

Answer: C

The key gives The dual representation of a network in terms of nodes and branches.

Two planar networks are duals when the mesh equations of one have the same form as the node equations of the other. In forming the dual, every mesh becomes a node, series connections become parallel, voltage sources become current sources, resistance becomes conductance and inductance becomes capacitance. So duality is a correspondence between the node-and-branch structure of one network and the mesh structure of another.

It is not the input-output relation of a system. It does not let resistors and capacitors be swapped; the dual of an inductor is a capacitor, and of a resistor a conductance. Having both series and parallel elements is simply a property of most networks, not duality.

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