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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

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  • ?
    Lv 7
    1 decade ago
    Favorite 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%

  • 1 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.

    .

  • 5 years ago

    This is a great question

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