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Eight lights are connected in parallel to a 117 V source by two leads of total resistance 2.8 . If 240 mA flo?
Eight lights are connected in parallel to a 117 V source by two leads of total resistance 2.8 . If 240 mA flows through each bulb, what is the resistance of each?
What fraction of the total power is wasted in the leads?
I NEED HELPPPPPPP!
3 Answers
- ?Lv 71 decade agoFavorite Answer
Rtotal = (117/(8*0.24)) ohms = 60.9375 ohms
2.8 ohms of this is in the leads
So the resistance of all the 8 bulbs in parallel is (60.9375 - 2.8) ie 58.1375 ohms
The resistance of one bulb is 8 times this, ie, 465.1 ohms
Total power = (I^2)*Rtotal
Power in resistance of leads = (I^2)*Rleads
Pleads/Ptotal = Rleads/Rtotal = 2.8/60.9375 = .046 = 4.6%
- billrussell42Lv 71 decade ago
What does the resistance 2.8 mean? I'll assume ohms. I'm also assuming that is one set of leads for each bulb, as opposed to one set for 8 bulbs. The question is vague.
R = E/I = 117/0.24 = 487.5 Ω
subtract the 2.8 Ω for the leads and you get 484.7 Ω for each bulb
power in the leads is I²R = 0.24²×2.8 = 0.161 watts
for 8 bulbs that is 1.290 watts
Power in a bulb is I²R = 0.24²×487.5 = 27.6 watts
percent in leads is 0.161 / (27.6+0.161) = 0.58%
answer will be different if it is one set of leads for 8 bulbs.
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