Thursday, February 2, 2012

Mystery of "Power = V x I" - (2) or 'Q' Magic

This article is a continuation of Mystery of "Power = V x I" (posted on 6/24/11). Since the last post was very short I will repeat it below:

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V (Joule/Coulomb) x I (Coulomb/second) = Power (Joule/sec = Energy/sec). So after multiplication of V by I, Coulomb (unit of electric charge) disappears like a magic and only Energy and time remain. This explains well that Current is not consumed in a load such as a resistor and a light bulb - Kirchhoff's Current law but Energy is consumed, changed to some other form of Energy - conservation of Energy.

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I want to call it 'Q' magic, not a Quantum Magic but Charge Magic. We now think it further in terms of Energy.

I wrote in the first article in Asnet Tutorial as follows:

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Energy/Q = V ---> Energy = QV

Energy/ Φ = I ---> Energy = ΦI

Energy x Energy =QV x ΦI = VI x QΦ

= VI x <I x time> x <V x time>

Therefore

Energy2 = (VI x time)2


Energy = +/- VI x time


This helps us to what Power (VI) means in terms of Electric and Magnetic Fields.

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In the above explanation Q plays a vital role but Q disappears in the final equation -
Energy = +/- VI x time (this should by Energy = VI x time as no negative Energy).

Energy/Q = V ----> Energy = QV

Energy/ Φ = I ----> Energy = ΦI

These two equations are actually the same thing although QV seems (electro)static and ΦI seems (magneto) dynamic because

Energy = QV = (I x time) x V

Energy = ΦI = (V x time) x I

We can think of two different conditions - time stops and time is passing. When time stops it becomes static while time is passing it becomes dynamic in either electrically or magnetically. When static the energy becomes potential while when dynamic (the values changes with time) the energy becomes non-static or status of the energy changes.

Energy = QV = (I x time) x V

Although I is a scalar value (Q/t) Qs move (flow) V may unchanged or varies with time when dynamic.

Energy = ΦI = (V x time) x I

V does not move but changes with time and I
may unchanged or changes with time and Qs move (flow) when dynamic.





By using the above two equations we can get also

Power = VI = Energy x Energy/QΦ

Here again Q = I x time ,
Φ = V x time

Very simple. These equations are very simple but they have 'meanings' and maybe 'profound meanings"