Answered: If the 0.100-mm-diameter tungsten…

If the 0.100-mm-diameter tungsten filament in a light bulb is to have a resistance of 0.200Ω at 20.0 °C , how long should it be?

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 12CQ: Explain why R=R0(1 + a?T) for the temperature variation of the resistance R of an object is not as...

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Concept explainers

Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends on the nature of the material of the conductor and is unaffected by its dimensions.

Question

If the 0.100-mm-diameter tungsten filament in a light bulb is to have a resistance of 0.200Ω at 20.0 °C , how long should it be?

Expert Solution

Step 1

$diameter of tungsten (d) = 0.10 m m Radius of the bulb (r) = 0.05 m m Resistance of the bulb (R) = 0.200 o h m Tempertaure of the bulb (T) = 20^{o} C Resistivity of tungsten (ρ) a t 20^{o} C = 5.6 \times 10^{- 8} o h m . m e t e r$

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