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Homework Help: Circuit analysis complex numbers

  1. Apr 7, 2015 #1
    1. The problem statement, all variables and given/known data
    Selection_027.png

    I'm going crazy. I've done this problem nearly 20 times and keep getting the same answer. I've read my textbook so many times too! What am I doing wrong?

    2. Relevant equations
    Zcapacitor = 1/(jwC)
    Zinductor = jwL
    Zresistor = R

    3. The attempt at a solution

    Z for the capacitor -j1.667*10^3
    Z for the inductor is j0.6

    Z1 contains the capacitor and resistor on the righthand side of the circuit

    Z1 = 2 - j1.667*10^3

    Calculate Z12 (Z1 in parallel with the 22 ohm resistor)

    1/Z12 = 1/22 + (2+j1.667*10^3)/(2.78*10^6)
    Z12 =21.99-j2.903*10^-1

    Z123 = Z12 in series with the inductor = 21.99 - j0.2903 + j0.6 = 21.99 + j0.309
     
  2. jcsd
  3. Apr 7, 2015 #2

    collinsmark

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    Homework Helper
    Gold Member

    Don't forget to convert simple frequency f, which has units of Hz, to radial frequency ω, which has units of rad/sec.
     
  4. Apr 8, 2015 #3
    Such a simple mistake on my part. Thanks.
     
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