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Is this formula answer correct?

Discussion in 'General Electronics Discussion' started by NomadAU, Jul 21, 2012.

  1. NomadAU

    NomadAU

    14
    0
    Jul 21, 2012
    Hi,

    A bit of an odd question to put on this forum perhaps, but here goes.

    I am learning about oscillators, in particular those driven by crystals. I have been reading a very useful article but have come unstuck with one of the formulas provided in the example and wondered if someone might be able to help me...either the article is wrong, or I am calculating it wrong. Here goes...

    The formula for calculating the feedback resistor (Rs) is given as
    Rs=1/2πƒC2

    In the provided example, f=20MHz and C2=27pF, thus
    Rs = 1/[(2π)(20MHz)(27pF)]

    When I calculate this I get a value of around 294.6 ohms
    i.e. 1/((22/7)*2*20000000*0.000000000027) = 294.6127946127946127946

    whereas the author gets a value of 398ohms.:confused:

    Can someone help explain where this difference might be coming from?
     
    Last edited by a moderator: Jul 21, 2012
  2. john monks

    john monks

    693
    1
    Mar 9, 2012
    I get -294.8809i ohms.
    Remember this reactance is in the negative direction or what is refered to as "capacitive reactance"
     
    Last edited: Jul 21, 2012
  3. KrisBlueNZ

    KrisBlueNZ Sadly passed away in 2015

    8,393
    1,266
    Nov 28, 2011
    I suspect the author did his calculations using different values and when he changed them, he forgot to update his answer, or he accidentally plugged the wrong value into the formula. The 398 ohms answer is correct if C2 is 20 pF.
     
  4. NomadAU

    NomadAU

    14
    0
    Jul 21, 2012
    Thanks for the confirmation guys...I just wanted to be sure I wasn't screwing up MY calculations somewhere along the way.
     
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