Parallel (operator): Difference between revisions

Revision as of 01:49, 9 September 2023

Revision as of 01:44, 14 November 2023

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==Applications==

HereThere are some of the applications of the parallel operator in electronics, optics, and study of periodicity:

=== Circuit analysis ===

In [[electrical engineering]], the parallel operator can be used to calculate the total impedance of various [[Series and parallel circuits#Notation|serial and parallel]] electrical circuits.<ref group="nb" name="NB_Application" />

There is a [[duality (mathematics)|duality]] between the usual [[series sum|(series) sum]] and the parallel sum.<ref name="Ellerman_1995"/><ref name="Ellerman_2004"/>

For instance, the total [[electrical resistance|resistance]] of [[parallel resistors|resistors connected in parallel]] is the reciprocal of the sum of the reciprocals of the individual [[resistor]]s.

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:<math>f = \rho_{virtual}\parallel \rho_{object}</math>

There is a [[duality (mathematics)|duality]] between the usual [[series sum|(series) sum]] and the parallel sum.<ref name="Ellerman_1995"/><ref name="Ellerman_2004"/>

===Synodic period===