common flash light bulb is rated 3
ampere and 2.9 if the resistance of tungsten filament at 20 degree celsius is 1.1 ohm what is the temperature of the filament when the bulb is on
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Given:
The common flash light bulb is rated 3 ampere and 2.9 if the resistance of tungsten filament at 20 degree celsius is 1.1 ohm.
To find:
What is the temperature of the filament when the bulb is on?
Solution:
From given, we have,
Current = I = 3 A
Voltage = V = 2.9 V
R = V/I = 2.9/3 = 0.967 Ω
we use the formula,
R = R₀ [1 + α(T - T₀)]
we know, α = 4.5e-3
0.967 = 1.1 [1 + 4.5e-3(T - 20)]
0.8790 = 1 + 4.5e-3(T - 20)
T = 19.46 °C
The temperature of the filament when the bulb is on is 19.46 °C
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