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Informativity of the quaternion form of the Ohm law


A.V. Maksimov – Ph.D. (Eng.), Associate professor, Head of the Chair “Computer systems and networks”, Kaluga branch of the Bauman MSTU
E.A. Maksimov – Post-graduate Student, Assistant, Chair EIU5, Kaluga branch of the Bauman MSTU

On the example of the Ohm law for a parallel oscillating circuit it is shown that complex numbers and quaternions give more information on physical processes in considered object. It is shown that quaternion record of the law of Ohm allows to receive not only the instantaneous value of current through a section of an electrical circuit, but also loop currents in this section of a circuit.


  1. Branets V.N., Shmyglevskii I.P. Primenenie kvaternionov va zadachakh orientatsii tverdogo tela. Moscow: Nauka. 1973. (in Russian)
  2. Kompleksnoznachnye i giperkompleksnye sistemy v zadachakh obrabotki mnogomernykh signalov / Ed. Ya.F. Furman. Moscow: FIZMATLIT. 2004. (in Russian)


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