Light Bulb
What are the two possible resistances of a light bulb in a series circuit?
A light bulb is wired in series with a 138-Ω resistor, and they are connected across a 120-V source. The power delivered to the light bulb is 23.5 W. What are the two possible resistances of the light bulb?
let R = resistance of the bulb.
Voltage across bulb is
V = 120R/(R+138)
current is
I = 120/(R+138)
power is VI = 23.5
[ 120R/(R+138) ] [ 120/(R+138) ] = 23.5
(120R)(120) = 23.5(R+138)²
613R = R² + 276R + 21904
R² – 336.8R + 21904 = 0
using a quadratic solver
R = 249, 88.1 ohms
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June 2nd, 2009 in
Uncategorized | tags: electronics, energy, led, light, light bulb types, light bulbs, light bulbs etc, light bulbs unlimited, light bulbs unlimited los angeles, lighting
