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T to pi conversion

  1. Jul 23, 2013 #1
    1. The problem statement, all variables and given/known data
    Perform a T to ∏ conversion on the components marked with an asterix (see attachment)


    3. The attempt at a solution

    I believe the answer is 6.

    Zab = sum of the two impedances connected to terminals "A and B"
    + product of T impedance connected to terminals "A and B"/third impedance

    my issue is what should the units be as no units are apparent in the question simply ohms?

    Or have I maybe misunderstood this process altogether?

    As always any help is appreciated.
     

    Attached Files:

  2. jcsd
  3. Jul 23, 2013 #2

    rude man

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    It's obviously not a pure number like "6".

    Look for T - pi conversion methods in your textbook or on the Web.
     
  4. Jul 23, 2013 #3
    I think my issue is three starting values the resistors are indicated by 2Z do i need to convert impedance first?
     
  5. Jul 24, 2013 #4
    so i found the correct way to convert as per the attachment.

    but im still confused by the initial values being 2Z?
     

    Attached Files:

  6. Jul 24, 2013 #5

    rude man

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    Please include the diagram showing the various resistors in your attachment.
     
  7. Jul 24, 2013 #6
    Its the first attachment listed as question 2
     
  8. Jul 24, 2013 #7
    T as in Tao is 2Pi (I'm on tapatalk so if you put math symbols I only see plain text) Tao represents a full unit circle where as Pi is half.
     
  9. Jul 24, 2013 #8

    rude man

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    I meant the one that went along with the T to pi.docx.
     
  10. Jul 24, 2013 #9
    There is an attachment entitled question 2 that shows the questions diagram
     
  11. Jul 24, 2013 #10

    rude man

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    That's not what I meant
    I need a pictorial showing how the R's are distributed. Not the Z's of the problem,.
     
  12. Jul 24, 2013 #11
    Thats the only diagram provided with the question
     
  13. Jul 24, 2013 #12

    rude man

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    Never mind the question. What diagram went along with the T to pi.docx file?
     
  14. Jul 25, 2013 #13
    I've now included the full question I'm working on exactly as it appears. Hopefully this explains all :)
     
  15. Jul 25, 2013 #14
    its entitled Doc1.docx
     

    Attached Files:

  16. Jul 25, 2013 #15
    What is question 1? You're supposed to use the result from that to help with the final question.

    There are 3 impedances marked with a "*". Let the top left one be Ra in the Wye to Delta formulas. Let the top right one be Rb and the middle impedance be Rc.

    The 2Z designation need not be a problem. Simply replace Ra with 2Z, Rb with 2Z and Rc with Z in the formulas. What do you get for Rab when you do that? Then for Rbc and Rac?

    Once you do all that, you should be able to get Vout or Zout by combining various series and parallel combinations, and using voltage divider formulas, etc.

    Give it a try and show your work.

    Once you have Rth (which will be an impedance and not a pure resistance for part c. of problem 2) you can use the maximum power transfer theorem to determine the load for maximum power out.
     
  17. Jul 31, 2013 #16
    so T to ∏ conversion:

    Rab = Ra x Rb + Ra x Rc + Rb x Rc / Rc
    so z x z +z x 2z + z x 2z / 2z
    = 2.5 z

    so Rbc = 5z
    Rac = 5z

    is this along the right track?
     
  18. Jul 31, 2013 #17
    OK so far.
     
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