1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Solving voltage divider involving capacitors

  1. Mar 28, 2016 #1
    1. The problem statement, all variables and given/known data
    2cymnon.png
    Given ZV1 = ZV2 = 100Ω,
    ZCCV = ZCV = 2000/j = -2000j, and
    VV/VC = 0.04789.

    I'm trying to get the given VV/VC result.

    2. Relevant equations
    I know that
    1/ZV = 1/ZV1 + 1/ZV2 + 1/ZCV
    VV = ZV / (ZV + ZCCV) * VC

    3. The attempt at a solution
    1/ZV = 1/ZV1 + 1/ZV2 + 1/ZCV = 1/100 + 1/100 + j/2000
    |1/ZV| = √(0.022 + (1/2000)2) = 0.02
    ZV = 50Ω

    VV/VC = ZV / (ZV + ZCCV) = 50 / (50 - 2000j)
    VC/VV = (50 - 2000j) / 50 = 1 - 40j
    |VC/VV| = √(12 + 402) = 40.01
    VV/VC = 1/40.01 = 0.02499
    which is about half of the value I should get.

    Where did I go wrong?
     
  2. jcsd
  3. Mar 28, 2016 #2

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    Kirkoffs laws - check arithmetic.
     
  4. Mar 28, 2016 #3
    Can I please have a bit more hint?

    The voltage through ZV1, ZV2 and CV is the same (VV), right?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Solving voltage divider involving capacitors
  1. Voltage divider (Replies: 0)

  2. Voltage Divider (Replies: 1)

  3. Voltage Divider Problem (Replies: 23)

Loading...