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:
- voltage – current
- parallel – series (circuits)
- resistance – conductance
- voltage division – current division
- impedance – admittance
- capacitance – inductance
- reactance – susceptance
- short circuit – open circuit
- Kirchhoff's current law (KCL) – Kirchhoff's voltage law (KVL)
- Thévenin's theorem – Norton's theorem
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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