Millmans Thm

Discussion in 'General Electronics Chat' started by haditya, Apr 4, 2004.

  1. haditya

    Thread Starter Senior Member

    Jan 19, 2004
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    hi
    Can Millmans Thm be applied for a "series of parallel capacitor arrangements"(like the one typical in millmans thm).
    if yes
    is the emf across the parallel branches given by

    V = EC+E'C'+E''C''...
    -----------------------
    C+C'+C''+....
     
  2. Battousai

    Senior Member

    Nov 14, 2003
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    44
    What is Millman's theorem?
     
  3. mozikluv

    AAC Fanatic!

    Jan 22, 2004
    1,437
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    hi,

    as far as i can remember millmans theo is to find solution for 2 source circuit by repeatitively applying Thevenin and Norton theo.

    millmans theo is not so often used
     
  4. haditya

    Thread Starter Senior Member

    Jan 19, 2004
    220
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    An article on Millmans Thm is found on this website. Click Millmans Thm.


    ok.. the other day i was analysing a circuit with capacitors and the answer i got after applying my version of millmans thm matched with the answer in the book... probably thats just coincidence ;) ..i doubted the truth of the method which is why i wanted to clarify and confirm the formula
     
  5. Dave

    Retired Moderator

    Nov 17, 2003
    6,960
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    Could you show us your working out? I vaguely seem to remember Millmans Theorum for multiple parallel emfs.
     
  6. haditya

    Thread Starter Senior Member

    Jan 19, 2004
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    Actually i had just made a guess to the formula without working it out. But now that you told me to do it, I did it.
    Well yes Millmans Theorem is used to find resulatant EMF across multiple parallel EMF.
    I tried working it out for a multiple parallel ciruit having 2 emfs and 3 capacitors (by replacing the resistors by capacitors on the diagram at the link above) . And the math holds true according as given by the formula. :lol: :lol:
    i ll try to confirm this by workin on more complex circuits by increasing the no of EMFs and capacitors (but surely i wont go beyond 3 EMFS and capacitors. It ll be very tough to solve those simultaneous eqns.) -_- -_-

    will try and get back
     
  7. Dave

    Retired Moderator

    Nov 17, 2003
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    This surprises me actually because the laws for parallel resistors and capacitors are slightly different (i.e. 1/Rp = 1/R1 + 1/R2.... whereas Cp = C1 + C2....). I do look forward to seeing your working :)
     
  8. mozikluv

    AAC Fanatic!

    Jan 22, 2004
    1,437
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    hi,

    have been following this thread curiously how it would come out. the main question was can the theorem be applied to a grid of capacitors? i have seen the article here in this forum and it has never mentioned anything about capacitors.

    as what dave has pointed out the parallel equation of resistor does not have the same effect to capacitors. it is the reverse.

    if you are following the parts placement of the example and use any cap value the voltage at any point will be the same as your supply. as per example the supply is in parallel. maybe i'm wrong?
     
  9. haditya

    Thread Starter Senior Member

    Jan 19, 2004
    220
    0
    hi
    i am having a major exam tomorrow and will upload my working of the formula after i am finished with it.
    my guess is that the eqn will also hold true in a 3 emf 3 capacitor setup
     
  10. haditya

    Thread Starter Senior Member

    Jan 19, 2004
    220
    0
    hi
    here is the workin you wanted to see
    i have attached it as a word document
     
    • MTC.doc
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