摘 要
白熾燈發光效率會隨著燈絲溫度的改變而改變。本論文研究白熾燈發光效率與燈絲溫度的關系,相當于研究黑體輻射中可見光能量占總輻射能量的百分比。對普朗克公式進行積分算出能量密度曲線下的整個面積,再用相同方法計算在可見光頻率范圍為內的曲線下的面積,兩個面積的比值就是所求的結果。通過設計C語言程序對在黑體輻射中可見光能量在一定溫度下占總輻射能量的比值以及在不同溫度下進行計算。根據所寫的C語言程序計算不同溫度下可見光能量占總能量的比值,發現可見光能量占總輻射能量的百分比隨著溫度的升高而增大,當溫度達到一定值時可見光能量所占的比值達到最大,然后所占比值就逐漸下降。
關鍵詞: 黑體輻射 可見光 比值 溫度 發光效率
Abstract
Incandescent luminous efficiency changes along with the temperature of filament, this paper studies relationship between the incandescent filament light-emitting efficiency and its temperatures which is similar to study visible light energy account for the total radiation energy of the rate in blackbody radiation. Calculate the energy density of the whole area under the curve by integrating Planck formula, and the same method used in the frequency range from to for the area under the curve, two areas’ ratio is the result what we want. Programming C language to calculate visible light energy take up of the total rate of radiation energy in blackbody radiation when the temperature is a constant, then change the temperature and calculate again. According to the C language procedures which we programmed to calculate the percentage of visible light energy of the total energy at different temperatures, we discover that the percentage of visible light energy occupies total energy increases when the temperature increases. When the temperature reaches a certain value, the percentage of the visible light is largest, and then gradually declines.