Orthogonality & Electrical Engineering

Figure 1

In the closed segment area, '1', there are 4 vertexes. Each culminates at angle of 90° or Pi/2 rad.

In Figure 1, sector 2 the same series of angles as in segment 1 would congruously repeat.

That all suggests the radial lines are orthogonal to each other and to the concentric lines, simultaneously. For electronics that concept would have orthogonal power in each intersecting circuit component. If you correctly envisage the power flux being sinusoidal, as it is for steady power would be phase shifted by 1/4 harmonic (cycle) of Pi/2 rad apart for a sine wave.

This would literally mean that voltage and current are initially the same dimension of electricity, phase shifted by one fourth of a harmonic. The phase shift delivers very different qualities and quantification and relevance of different identities for each of them. When working with more than one phase shift, we would apply the logic in nomenclature (scientific naming) of referring to ordinate phase voltage. Eg. 1st phase, 2nd or 3rd phase etc. They are all arithmetic elements of the array or set of the initial, singular current phase.

That understanding of electrical orthogonality should lead to simpler and more effective electronic (control) circuitry at both the microelectronic and electrical (power) application. All logic gates should be able to be constructed from simple intersecting, current shift, component devices, rather than with diodes and transistors. It can all be achieved by current division. Resistors will always operate better in microelectronics, given the minute size of the more complex inductor devices. Mini-transformers (inductor, single ratio pairs) will likely replace resistors in non-integrated circuit electronics.

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