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#41
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Porch light keeps blowing bulb
Don Klipstein wrote:
In , E Z Peaces wrote in part: Don's data shows current at various voltages, from which the changing resistance could be calculated. Saying power is proportional to voltage^1.6 implies that resistance is proportional to voltage^0.4 (unless I've jumbled the math). I don't know how accurate the formula is over a wide voltage range. It says service life is proportional to voltage^(-16). http://en.wikipedia.org/wiki/Incandescent_light_bulb Power being proportional to voltage to the 1.6 power is something I remember (I hope accurately) from something from GE on "miniature lamps", and I found it largely accurate for vacuum-containing incandescent lamps, at least ones of higher design voltage (14 volts and up maybe?). This would mean current being proportional to voltage to the .6 power, and resistance being proportional to the .4 power. It appears to me that you did not jumble your math. Meanwhile, I publish the "current exponent" for 3 specific incandescent lamps, for application to a large number of voltage ranges where one end of the range is 120 volts. I refer to this as log(i/I)/log(v/120) in http://members.misty.com/don/incchart.html For the vacuum one that I mention there, this figure is .58 to .61 for all voltage ranges (effective average over the range) where one end is 120 volts and the other is anywhere from .5 to 144 volts. For gas filled ones, this figure is lower. For 100 watt 120V 750 hour lamps rated 1670-1750 lumens, this figure tends to be about .54. For lower wattage 120V gas-filled lamps and 120V gas-filled lamps with multisupported filaments, this figure will be lower. I seem to think that a "1-size-fits-all" figure for household 120V gas-filled lamps is .53. (Current is proportional to voltage to the .53 power, and power is proportional to voltage to the 1.53 power.) As for light output: There is not that good a "one size fits all" exponent to describe what power of input voltage that light output is proportional to. I have seen 3.4 and 3.5 published, and find that to be reasonable. I have known this figure to be as low as 3.2, as high as 6-plus for extreme dimming, though it appears to me to usually be between 3.3 and 4. As for life expectancy: That exponent of -16 appears to me to be on the extreme side. I usually figure life expectancy being inversely proportional to voltage to the 12th power, although I find 13th fairly credible. At one time I mathematicaly worked out -11 from relationship of filament temperature with voltage and life expectancy of lamps with different color temperatures, but I seem to think the truth is slightly more extreme than -11. I take a page or two of screen space below with cites for this exponent being anywhere from -10.43 to -14.55. A Google search has its description of one hit as a result of my chosen search terms showing 12.86 power for this, not visible in the link itself (describing a PDF that has to be paid for), "Physics of Incandescent Lamp Burnout", The Physics Teacher -- January 2008 -- Volume 46, Issue 1, pp. 29-35 Another statement repeated a bit is that voltage 10% above design voltage will reduce life to 30% of that expected at design voltage. I work out the exponent from this to be -12.6. Two places saying this a http://www.candelacorp.com/products/lamps/miniatures/ http://www.sunraylighting.com/technicalinfo.shtm These also say that life will be multiplied by approx. 3 by use of 90% of rated voltage. From that, I work out the exponent to be -10.43. Although I saw a statement of reduction of life to 25% by use of 110% of design voltage, in: http://www.trft.org/b3/B3Pix/CHRSDialLamps.pdf I work out an exponent of -14.55 from that statement. In that document is also a statement that use of 90% of design voltage results in life expectancy 400% of original. From that I work out the exponent to be -13.2. As far as I remember, I hope accurately, packages of 130V lightbulbs with statements of life expectancy at both 130 and 120 volts have the 120V life being about 2.5 times the 130V life. I work out the exponent from this to be -11.45. I also expect this exponent to vary somewhat with filament temperature, presence/absence of gas fill and with percentage of input power becoming heat conducted by the fill gas (which varies widely with design current and filament style). - Don Klipstein ) Wow! Thanks. Wikipedia was a starting point to help me comprehend your stuff. Yesterday when I looked at your charts, I didn't make sense of your logs involving current. |
#42
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Porch light keeps blowing bulb
Tony Hwang wrote:
Tony wrote: E Z Peaces wrote: Rats! It would reduce RMS voltage by 29.3%! So, by formula, power would be 57% and lumens would be 31%, a 46% reduction in lighting efficiency. Did you also figure the filament having a much lower resistance? Hi, Resistance goes lowe as it gets hotter. So what do you think? I think that's true of some materials. As tungsten gets hotter, resistance increases. From Don's data on a 100W gas-filled bulb, it appears that at 120V the resistance is 144 ohms and the temperature is 2865K. It appears that at 132V the resistance is 150 ohms and the temperature is 2975K. |
#43
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Porch light keeps blowing bulb
I would look for a water leak or a floating ground. If you
don't know what a floating ground is I would not suggest that this is something you can do yourself. Do you have any other lights or aplainces that seem to be getting too much or too little power, maybe intermintent. |
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