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Old November 17th 07, 09:36 PM posted to rec.radio.amateur.antenna
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First recorded activity by RadioBanter: Jun 2006
Posts: 1,374
Default Superposition

Tam/WB2TT wrote:

You can come up with a lot simpler example that at first might look like a
paradox. Consider two DC current sources of 1 amp each. Each current source
will deliver 50 W to a 50 Ohm resistor. Now connect the two current sources
in parallel, and the resultant 2 amps will deliver 200W to the same 50 Ohm
resistor. There is nothing wrong here.


I see Cecil is still superposing his waves of average power.

I have an example that's more fun yet.

Take a 10 volt source and connect it through a 10 ohm resistor to
another 10 volt source. The positive terminals of the sources are
connected to the ends of the resistor, and the negative terminals are
connected together -- "grounded", if you prefer. Turn on one source,
leaving the other off. (An "off" voltage source is a short circuit.)
Result: 10 watts of dissipation in the resistor. Turn off the first
source and turn on the second. Result: 10 watts of dissipation in the
resistor. Now turn both sources on. Result: An exercise for the reader.

This is a linear circuit for which superposition holds.

Roy Lewallen, W7EL
 
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