When operating, the resistance of the filament of a 60 W incandescent light bulb is 240
Ω. However, if you were to measure the resistance of the filament using a regular ohmmeter, you would find it to be about
12 times smaller (
20 Ω).
(a) How can you explain this phenomenon? (Hint: Think what happens to the light bulb when it is plugged in.)
(b) Do appropriate calculations to show that when operating, the tungsten filament does have the appropriate resistance (240
Ω). (Use the following as necessary:
V,
P.)
(c) Based on your calculations, find the temperature of the incandescent light bulb when operating. (The temperature coefficient of resistivity of tungsten is
α =
4.5
10-3 K
−1. Ignore thermal expansion. Assume the initial temperature is 20
°C. )
K