Posted by ashley on Tuesday, October 11, 2011 at 1:54pm.
The voltage drop across the resistor is 120 - 24 = 96 V
The resistance R' of the lamp can be derived from its Wattage at 120 V:
75 W = V^2/R' = 14400/R'
R' = 192 ohms
Since the lamp gets 24/120 = 20% of the voltage drop, the other 80% of the voltage (96 V) is across the resistor.
With both in series, circuit current = lamp current = 24 V/192 ohms = 0.125 Amps
Resistor resistance = V(resistor)/I
= 96/(1/8) = 768 ohms
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