Duality (electrical circuits)

Association of electrical terms into pairs based on interchanging voltage and current From Wikipedia, the free encyclopedia

In electrical engineering, electrical terms are associated into pairs called duals. A dual of a relationship is formed by interchanging voltage and current in an expression. The dual expression thus produced is of the same form, and the reason that the dual is always a valid statement can be traced to the duality of electricity and magnetism.

Here is a partial list of electrical dualities:

History

The use of duality in circuit theory is due to Alexander Russell who published his ideas in 1904.[1][2]

Examples

Constitutive relations

  • Resistor and conductor (Ohm's law)
  • Capacitor and inductor  differential form
  • Capacitor and inductor  integral form

Voltage division current division

Impedance and admittance

  • Resistor and conductor
  • Capacitor and inductor

See also

References

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