An incandescent bulb has a resistance of 14 whenit is at room temperature (25 o

Question

An incandescent bulb has a resistance of 14 whenit is at room temperature (25oC) and 468 when it is hot and delivering light to the room. Thetemperature coefficient of resistivity of the filament is 0.003(oC)-1, where the base resistanceRo is determined at 0oC. What is the temperature of the bulb in degress celcius when inuse? An incandescent bulb has a resistance of 14 whenit is at room temperature (25oC) and 468 when it is hot and delivering light to the room. Thetemperature coefficient of resistivity of the filament is 0.003(oC)-1, where the base resistanceRo is determined at 0oC. What is the temperature of the bulb in degress celcius when inuse?

Explanation / Answer

We have the relation R = Ro (1+t) then Ro = R/(1+t)             =(14)/[1+(0.003(oC)-1)(25oC)]            = 13 Now t = (1/)[(R/Ro)-1]           =(1/0.003(oC)-1)[(468/13)-1]            = 11667oC

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