Carbon resistors generate more thermal voltage noise
than Metal film resistors. That by itself proves
nothing, but when applied to an antenna with radiation
resistance we disprove the 2nd law of thermodynamics.
Consider two experiments where the only difference is
one uses a noisier resistor as a voltage source.

Preface: Radiation resistance generates no thermal
noise.

Experiment A:
Resistor in series with an antenna.
Thermal noise source resistance: R
Antenna radiation resistance: Rr
RMS thermal noise: Va
RMS current: Va / (R + Rr)
Radiated power: I^2 Rr = (Va / (R + Rr))^2 * Rr

Experiment B, with noisier resistor:
Resistor in series with an antenna.
Thermal noise source resistance: R
Antenna radiation resistance: Rr
RMS thermal noise: Va * 1.1
RMS current: Va * 1.1 / (R + Rr)
Radiated power: I^2 Rr = (Va * 1.1 / (R + Rr))^2 * Rr

Experiment B radiates more power.  Experiment B will
be cooler than experiment A.

Lets simply. Neither experiment A or B have a power
source except thermal noise. Experiment B radiates
more power. It is a very simple circuit. Over time,
more energy is leaving experiment B than experiment A.
Therefore experiment B will be colder than experiment
A.


Regards,
Paul Lowrance




 
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