19.07.2022 - 09:28

A light-emitting diode (LED) connected to a 3.0 V power supply emits 440 nm blue light. The current in the LED is 21 mA , and the LED is 61 % efficient at converting electric power input into light po

Question:

A light-emitting diode (LED) connected to a 3.0 V power supply emits 440 nm blue light. The current in the LED is 21 mA , and the LED is 61 % efficient at converting electric power input into light power output.

How many photons per second does the LED emit?

Answers (0)
  • Janna
    April 10, 2023 в 11:14
    To calculate the number of photons per second emitted by the LED, we need to use the formula: Number of photons per second = (Power of light / Energy per photon) We can find the power of light by multiplying the voltage and current: Power of light = Voltage ? Current = 3.0 V ? 21 mA = 0.063 W To find the energy per photon, we can use the formula: Energy per photon = Planck's constant ? speed of light / wavelength Planck's constant = 6.626 ? 10^-34 J s Speed of light = 3 ? 10^8 m/s Wavelength = 440 nm = 440 ? 10^-9 m Energy per photon = 6.626 ? 10^-34 J s ? 3 ? 10^8 m/s / 440 ? 10^-9 m Energy per photon = 4.51 ? 10^-19 J Now we can substitute the values into the formula for the number of photons per second: Number of photons per second = 0.063 W ? 0.61 / (4.51 ? 10^-19 J) Number of photons per second = 1.12 ? 10^18 photons/s Therefore, the LED emits 1.12 ? 10^18 photons per second.
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