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Extension cord connected to heater - Find the power

  1. Mar 1, 2005 #1
    An extension cord made of two wires of diameter 0.129 cm (no. 16 copper wire) and of length 2.7 m is connected to an electric heater which draws 15.0 A on a 120V line. How much power is dissipated in the cord?

    Do I just use P=IV?

    But that leaves a lot of "extraneous" information.

    My second thought was to find resistance:

    R = p (L/A)
    A = pir^2 = 1.29E-3^2 x pi = 5.23E-6

    R = (1.68E-8) x (2.7/5.23E-6)
    R = .00867

    But then I'm not sure what to do from there.

    Using P=IV I get 1800 W. But then do I have to multiply by length and area?
     
  2. jcsd
  3. Mar 1, 2005 #2

    dextercioby

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    Obviously u cannot use the 1800W...That's the power dissipated by the SOURCE...For the line,u need to use another formula
    [tex] P=RI^{2} [/tex]

    Daniel.

    P.S.The potential between the ends of the chord in NOT 120V...:wink:
     
  4. Mar 1, 2005 #3
    OK, so I have found resistance, .00867. So then I can use P = RI^2?

    P = .00867 x (15.0A)^2?

    Your PS is intriguing but of course I don't understand. Are you saying that it draws 15 A on a 120 V line but I have to find what it draws on this line, given the voltage of this line? How would I go about finding that? Let's see what I know: resistance, and a ratio of current to voltage?

    If V = IR

    V/I = .00867

    OK, I'm stuck. Please help!
     
  5. Mar 1, 2005 #4

    dextercioby

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    You found the power without computing the voltage on the specific portion.You're done.


    Daniel.
     
  6. Mar 1, 2005 #5
    Huh. Awesome. Thanks for your help!
     
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