Abstract:Planck’s radiation formula is used to estimate the dimensionless efficiency of incandescent lamps as a function of filament temperature, with typical values of 2%–13%. Similarly, using the known spectral luminous efficiency of the eye, the efficacy of incandescent light bulbs is estimated as a function of temperature, showing values of 8–24 L W−1 for bulbs of 10–1000 W. The efficiency and efficacy results compare favorably with published data and enable estimation of the filament temperature for any lamp of kn… Show more
“…It has also prompted many articles that explore various aspects of incandescent lamps. [2][3][4][5][6][7][8][9] An interesting topic discussed by Leff concerns lifetime statistics of bulbs by drawing analogy from radioactive decay of nuclei. Leff obtained an empirical formula for the survival probability of commercial bulbs and also hinted at the approximate equality of the half-life, the average life, and the most probable life of the same.…”
An article by Leff1 on incandescent bulbs has been very successful in illuminating the minds of not only physics students but also teachers. It has also prompted many articles that explore various aspects of incandescent lamps.2–9 An interesting topic discussed by Leff concerns lifetime statistics of bulbs by drawing analogy from radioactive decay of nuclei. Leff obtained an empirical formula for the survival probability of commercial bulbs and also hinted at the approximate equality of the half-life, the average life, and the most probable life of the same. While teaching this topic over the past few years, we found that the students were confused about the precise link between the survival and decay probabilities, and were also unable to derive the said equality of different lives as this problem was left in Ref. 1 as an exercise. The aim of this paper is to clarify these ideas.
“…It has also prompted many articles that explore various aspects of incandescent lamps. [2][3][4][5][6][7][8][9] An interesting topic discussed by Leff concerns lifetime statistics of bulbs by drawing analogy from radioactive decay of nuclei. Leff obtained an empirical formula for the survival probability of commercial bulbs and also hinted at the approximate equality of the half-life, the average life, and the most probable life of the same.…”
An article by Leff1 on incandescent bulbs has been very successful in illuminating the minds of not only physics students but also teachers. It has also prompted many articles that explore various aspects of incandescent lamps.2–9 An interesting topic discussed by Leff concerns lifetime statistics of bulbs by drawing analogy from radioactive decay of nuclei. Leff obtained an empirical formula for the survival probability of commercial bulbs and also hinted at the approximate equality of the half-life, the average life, and the most probable life of the same. While teaching this topic over the past few years, we found that the students were confused about the precise link between the survival and decay probabilities, and were also unable to derive the said equality of different lives as this problem was left in Ref. 1 as an exercise. The aim of this paper is to clarify these ideas.
“…(5) the emissivity values of lamp filament eðk; TÞ corresponding to the lamp driving currents or temperatures were derived from the published emissivity values [19,20]. The emissivity values given in the work [19,20] include the emissivity of tungsten as a function of wavelength and temperature in the region of 200-2000 nm and 1000-3000 K. Since the temperature values in our measurements corresponding to lamp driving currents lie in this temperature range, the emissivity values at 1800 K, 2000 K and 2200 K temperature points, which are closed to our measurement temperatures, were chosen to use in Eq. (5).…”
“…As a result, S 21 and S 11 can then be calculated using (13) and (14). The overall power transmittance and reflectance are determined from |S 21 | 2 and |S 11 | 2 , respectively, while power absorptance is given by 1 −|S 11 | 2 −|S 21 | 2 .…”
Section: Band-limited Radiant Intensity From Primary Radiationmentioning
confidence: 99%
“…Since then, a great deal of research has been undertaken to investigate the optical, electrical, chemical and thermal properties of tungsten materials; as well as the characteristics of tungsten light bulbs [8][9][10][11][12][13][14]. More recently, due to advances in materials and nanotechnology, higher luminous efficiency has been achieved by improving the emissivity of the filaments or reducing the infrared radiation contribution to the blackbody spectrum without reducing the radiation at visible wavelengths [15][16][17].…”
The 'THz Torch' concept is an emerging technology that was recently introduced by the authors for implementing secure wireless communications over short distances within the thermal infrared (20-100 THz, 15 μm to 3 μm). In order to predict the band-limited output radiated power from 'THz Torch' transmitters, for the first time, this paper reports on a detailed investigation into the radiation mechanisms associated with the basic thermal transducer. We demonstrate how both primary and secondary sources of radiation emitted from miniature incandescent light bulbs contribute to the total band-limited output power. The former is generated by the heated tungsten filament within the bulb, while the latter is due to the increased temperature of its glass envelope. Using analytical thermodynamic modelling, the band-limited output radiated power is calculated, showing good agreement with experimental results. Finally, the output radiated power to input DC power conversion efficiency for this transducer is determined, as a function of bias current and operation within different spectral ranges. This modelling approach can serve as an invaluable tool for engineering solutions that can achieve optimal performances with both single and multi-channel 'THz Torch' systems.
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