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Equivalent Capacitance Question

  1. Sep 21, 2010 #1
    1. The problem statement, all variables and given/known data
    What is the equivalent capacitance of the four capacitors in the figure below? Take C1 = 2.6 µF, C2 = 4.1 µF, C3 = 3.9 µF, and C4 = 1.1 µF.


    2. Relevant equations
    Cequiv of capacitor in series = (1/C1)+(1/C2)+(1/C3)+(1/C4)
    Then take the reciprocal of the answer.


    3. The attempt at a solution
    I actually happen to know that the answer is 0.705 but I can't figure out how exactly to get that answer. I have tried everything from plugging the numbers directly into the equation above and almost every combination I could think of.
    It's frusterating because I think it's a simple question but I can not get the right answer using my methods. If anyone can help that would be great, thank you.
     

    Attached Files:

  2. jcsd
  3. Sep 21, 2010 #2
    Did you add c2 and c3 as if they're resistors in series?
    after doing that, pretend that value represents a new capacitor at that same location. and add that capacitor to c4 and c1 as if they're resistors in parallel.
     
  4. Sep 21, 2010 #3

    rl.bhat

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    Homework Helper

    Cequiv of capacitor in series = (1/C1)+(1/C2)+(1/C3)+(1/C4)

    In this problem the above formula is not relevant because it has a combination of series and parallel circuits. The formula becomes

    1/Ceff = 1/C1 + 1/(C2+C3) + 1/C4

    Now find Ceff.
     
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