How Many Photons Does a 1-kW Radio Transmitter Emit at 880 kHz?

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SUMMARY

A 1-kW radio transmitter operating at a frequency of 880 kHz emits approximately 1.36 x 10^21 photons per second. This calculation is derived from the relationship between power, energy, and frequency, where the energy of a photon is determined using the equation E = hf, with h being Planck's constant. The power output of the transmitter (1 kW) corresponds to the energy emitted per second, allowing for the determination of the photon emission rate.

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  • Understanding of electromagnetic radiation and photon energy
  • Familiarity with the equation E = hf (Planck's equation)
  • Basic knowledge of power calculations in physics
  • Concept of frequency and its relation to time (T = 1/f)
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GravityGirl
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a 1-kW raido transmitter operates at 880kHz. How many photons per second does it emit?

Power=work/time
Power=change in KE/time

f=1/T
T=1/880kHz

so 1 kw=change in KE/1.136x10^-6

change in KE=.00136 J

i don't know if i am doing this right. please point me in the right direction.


 
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You know the frequency (880kHz) of the photons and thus you can work out their energy with an equation you haven't written down. Then you know how much energy it uses per second (1 kW) and you can find the amount of photons per second from that?
 

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