. A certain lightbulb has a tungsten filament with a resistance of 19.0 N when at 20.0°C and 140 N when hot. Assume the resistivity of tungsten varies linearly with temperature even over the large temperature range involved here. Find the temperature of the hot filament.

. A certain lightbulb has a tungsten filament with a resistance of 19.0 N when at 20.0°C and 140 N when hot. Assume the resistivity of tungsten varies linearly with temperature even over the large temperature range involved here. Find the temperature of the hot filament.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter20: Electric Current, Resistance, And Ohm's Law

Section: Chapter Questions

Problem 36PE: A copper wire has a resistance of 0.500at 20.0°C, and an iron wire has a resistance of 0.525at the...

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Concept explainers

Temperature Variance of Resistance

Electrical resistance or simply resistance is the property of a material that opposes the free flow of electrons through it. The total amount of resistance to the flow of charges (or current) is affected by many factors like the length of the conducting material, its cross-sectional area, resistivity, and temperature.

Question

18. A certain lightbulb has a tungsten filament with a resistance
of 19.0 Q when at 20.0°C and 140 N when hot. Assume the
resistivity of tungsten varies linearly with temperature even
over the large temperature range involved here. Find the
temperature of the hot filament.

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A copper wire has a resistance of 0.500at 20.0°C, and an iron wire has a resistance of 0.525at the same temperature. At what temperature are their resistances equal?
When a straight wire is heated, its resistance changes according to the equation R = R0 [1 + (T T0)] (Eq. 17.7), where is the temperature coefficient of resistivity. (a) Show that a more precise result, which includes the length and area of a wire change when it is heated, is R=R0[1+(TT0)][1+(TT0)][1+2(TT0)] where is the coefficient of linear expansion. (See Topic 10.) (b) Compare the two results for a 2.00-m-long copper wire of radius 0.100 mm, starting at 20.0C and heated to 100.0C.