(a) Determine the resistance of the tungsten filament in a 55-W 120-V incandesce

Question

(a) Determine the resistance of the tungsten filament in a 55-W 120-V incandescent lightbulb at its operating temperature of about 2800 K.
(b) Determine the resistance of the tungsten filament in this incandescent lightbulb at room temperature (20 degrees Celsius). (a) Determine the resistance of the tungsten filament in a 55-W 120-V incandescent lightbulb at its operating temperature of about 2800 K.
(b) Determine the resistance of the tungsten filament in this incandescent lightbulb at room temperature (20 degrees Celsius).
(b) Determine the resistance of the tungsten filament in this incandescent lightbulb at room temperature (20 degrees Celsius).

Explanation / Answer

a)

P = v^2/R

R = v^2/P = 120^2/55 = 261.8 Ohms

R = R0 (1+alpha(T-T0))

R0 = R/ (1+alpha(T-T0))

R0 = 261.8/ (1+0.0045(2800-293)) = 21.31 Ohms

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