Converting Joules to Quanta: Assistance Needed

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SUMMARY

This discussion focuses on converting energy measured in Joules to the number of photons (quanta) emitted by a radio station operating at 200 kW and a frequency of 103.7 MHz. The key formula used is E_{photon} = hν, where E is the energy of a single photon, h is Planck's constant, and ν is the frequency. Participants confirm that the total energy emitted per second must equal the station's output, leading to calculations that yield an expected photon emission of approximately 2.9 x 10^30 photons per second.

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Jacob87411
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Hey I am in need of some assistance. In a problem I need to transfer Joules to quanta but am unsure on how to do it. A radio station is going at 200 KW with a frequency of 103.7 MhZ. So 200,000 Joules a second need to be converted to quanta. Thanks in advance!
 
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Jacob87411 said:
Hey I am in need of some assistance. In a problem I need to transfer Joules to quanta but am unsure on how to do it. A radio station is going at 200 KW with a frequency of 103.7 MhZ. So 200,000 Joules a second need to be converted to quanta. Thanks in advance!
You want to find the number of photons (radio frequency ones) emitted per second.

Start with E_{photon} = h\nu

The total energy in one second is equal to the sum of the energies of all the photons emitted in one second. I think you can work the rest out.

AM
 
Is the E=hv the sum of the energy for all the photons?
 
Jacob87411 said:
Is the E=hv the sum of the energy for all the photons?
No. This equation will give you the energy that is released in one photon.

The Bob (2004 ©)
 
Ah and then the total energy has to be equal to the 200 KW..but what is the speed on the photon? C?
 
Jacob87411 said:
Ah and then the total energy has to be equal to the 200 KW..but what is the speed on the photon? C?
You do not need the speed. You need Planck's Constant.

The Bob (2004 ©)
 
E=HV, yeah nevermind, meant F..thanks this one makes sense now
 
Jacob87411 said:
E=HV, yeah nevermind, meant F..thanks this one makes sense now
So how many photons are produced in one second?

AM
 
Andrew Mason said:
So how many photons are produced in one second?
Personally I get a rather large number (which is too be expected) but should it be this (2.9 x 1030 photons)[/color] big?

The Bob (2004 ©)
 
  • #10
I got a huge number as well..It is large but I expected it to be of such size
 
  • #11
Jacob87411 said:
I got a huge number as well..It is large but I expected it to be of such size
Was it the same as my number?

The Bob (2004 ©)
 
  • #12
You didnt give a number :)
 
  • #13
Jacob87411 said:
You didnt give a number :)
It was in white.

The Bob (2004 ©)
 
  • #14
The Bob said:
Personally I get a rather large number (which is too be expected) but should it be this (2.9 x 1030 photons)[/color] big?
It is that big. At 1000 km, the intensity would be about 2 x 10^17 photons/m^2 per second. And that is just a measly radio antenna. You can see why a quasar can still provide detectable radio signals on Earth despite being billions of light years away.

AM
 
  • #15
Andrew Mason said:
It is that big. At 1000 km, the intensity would be about 2 x 10^17 photons/m^2 per second. And that is just a measly radio antenna. You can see why a quasar can still provide detectable radio signals on Earth despite being billions of light years away.
You can. So much for telescopes that can detect a few photons of light, use radar discs. :smile:

The Bob (2004 ©)
 

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