Convert radio frequency to temperature

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Discussion Overview

The discussion revolves around the question of whether there is a formula to convert radio frequency to temperature, specifically in the context of blackbody radiation and its relation to radio waves. Participants explore the applicability of Wien's law to this conversion.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about a formula for converting radio frequency to temperature.
  • Another participant suggests using Wien's law if the frequency pertains to a blackbody emitter.
  • A specific example is provided regarding an FM station operating at 86.1 MHz, questioning what temperature corresponds to the emitted radio wave.
  • A link to Wien's displacement law is shared, with a query about using the frequency form of the formula.
  • One participant argues that the spectrum of FM broadcasts does not resemble blackbody radiation, implying that the conversion may not be valid.

Areas of Agreement / Disagreement

Participants express differing views on the validity of converting radio frequency to temperature, with some supporting the use of Wien's law and others contesting its applicability to FM broadcasts.

Contextual Notes

The discussion highlights the limitations of applying blackbody radiation concepts to radio frequencies, as well as the potential misunderstanding of the relationship between the two.

spune
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Hello,

Is there a formula to convert a certain radio frequency to temperature? Thanks.
 
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What exactly do you mean?
If you mean the temperature of a black that emits a frequency in the radio then use wein's law.
 
mgb_phys said:
What exactly do you mean?
If you mean the temperature of a black that emits a frequency in the radio then use wein's law.

for example, the FM station abc operates at 86.1mhz, what's the temperature is the radio wave emitting?

i think i have found the formula though.

http://en.wikipedia.org/wiki/Wien's_displacement_law

do i use the frequency form formula?

fmax = (ak/h)(T)
 
The spectrum of a FM broadcast is not very similar to the spectrum of blackbody radiation at any temperature. I don't think the conversion makes sense.
 

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