>> Since Amps are directly proportional to Volts,
> 
> You know Ohm's law, V = I*R, well think what happens if V and I are 
> complex numbers ... as soon as R becomes complex, the phase of V and I 
> will be different.
> 
> And yes you guessed it, the "resistance" of capacitors and inductors are 
> complex numbers ;-)

That doesn't make any sense.

More precisely, if we assume that V and I are not necessarily in phase, 
this immediately allows me to derive a contradiction.

Apparently, all I have to do is generate a sufficiently low-frequency 
wave, with V and I sufficiently far out of phase, and we arrive at an 
impossible situation. I could have a system with an arbitrarily large 
current passing through it, for an arbitrarily long time, despite the 
entire system having zero potential difference.

Obviously, electrons don't just move around for the hell of it. They 
move in direct response to a potential difference. The very concept of a 
current with no force driving it is obviously ridiculous.

The equations might make perfect sense in the presence of complex 
numbers, but that doesn't mean they match the real world.

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*

Post a reply to this message