On Mon, 4 Feb 2008 05:48:05 -0800 (PST), Lax <Lax.Clarke@gmail.com>
wrote:
>On Feb 2, 7:25 pm, John Larkin
><jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
>> On Sun, 3 Feb 2008 10:46:08 +1100, "Phil Allison"
>>
>>
>>
>>
>>
>> <philalli...@tpg.com.au> wrote:
>>
>> >"Mark Zenier"
>>
>> >** Wot a fucking PITA wanker.
>>
>> >> Phil Allison
>> >>>"Lax"
>>
>> >>>** Fuckwit Groper alert !!
>>
>> >>>> iv curves of caps and coils are notlinear, so are they nonlinear or
>> >>>>linearcircuitelements?
>>
>> >>>> What is the definition of alinearcircuit?
>>
>> > >> ** Jesus H. Christ you are a dumb turd.
>>
>> >>>
http://en.wikipedia.org/wiki/Linear_circuit>>
>> >>>....... Phil
>>
>> >> Charters and description lines.
>>
>> >> sci.electronics.basics Elementary questions about electronics.
>>
>> >> "A forum for discussion of electronics where there is no such
>> >> thing as a stupid question. Beginners questions. Discussion of
>> >> electronics education. Requests for other sources of information."
>>
>> > ** The OP is dumb turd for NOT making any effort to find his answer on
>> >Google and instead preferring to WASTE the time of others here.
>>
>> Maybe he tried. Maybe he found a heap of equations that he didn't
>> understand. Maybe he wanted to talk about it.
>>
>
>This is true. I actually checked Wikipedia also, but didn't
>understand the whole sinusoidal response definition. In my head I was
>using a cap's (or coil's) iv characeristic and a randon input into
>this circuit:
>
>Vin o------/\/\/\/\-----o-----| |-------GND (output across cap..
>middle node).
>
>I was thinking to myself, if I place a random voltage waveform at Vin,
>I certaintly won't be guranteed an ouput that is linear with respect
>to it. For example, a triangle wave input doesn't result in a
>triangle wave output.
>
>So this is why I was thinking to myself: "why is this circuit linear?
>Rs are linear, but if Cs were also linear then the response to any
>input waveform should be proportional to it."
>
>But now I get that the term "linear" is only for sine wave inputs.
Not so. If a network (or component) has any arbitrary forcing input S,
and has some corresponding output Y, then the network is linear if
increasing the amplitude of S produces an exactly increased output Y.
So if S produces Y
then if
N * S produces N * Y
for any value of N, then it's linear.
A linear network can have an output that looks very different from its
input, like your example of a triangle going in but some other
waveform coming out. A passive lowpass filter can turn a triangle into
a sine wave, but a passive lowpass filter is still a linear network.
Double the triangle input and you'll get double the sinewave output.
One of the consequences is that if you apply a sine wave to a linear
network's input, you can only get a sine wave out. A linear network
can change the phase and the amplitude of frequencies that pass
through it, but it can't generate new ones.
What's sort of cool is that if you apply a sine wave to a linear
gadget and get some output, and you plot the input and output
waveforms against each other (XY plot on a scope) the only curves you
can trace are the various/degenerate versions of an ellipse.
Phil is obviously nonlinear.
John