摘 要
白炽灯发光效率会随着灯丝温度的改变而改变。本论文研究白炽灯发光效率与灯丝温度的关系,相当于研究黑体辐射中可见光能量占总辐射能量的百分比。对普朗克公式进行积分算出能量密度曲线下的整个面积,再用相同方法计算在可见光频率范围为内的曲线下的面积,两个面积的比值就是所求的结果。通过设计C语言程序对在黑体辐射中可见光能量在一定温度下占总辐射能量的比值以及在不同温度下进行计算。根据所写的C语言程序计算不同温度下可见光能量占总能量的比值,发现可见光能量占总辐射能量的百分比随着温度的升高而增大,当温度达到一定值时可见光能量所占的比值达到最大,然后所占比值就逐渐下降。
关键词: 黑体辐射 可见光 比值 温度 发光效率
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.