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!

Homework Help: Impedance of a Tank Circuit

  1. Sep 12, 2011 #1
    1. The problem statement, all variables and given/known data


    a) Determine the impedance of this circuit.
    b) What is the impedance when [itex] \omega = \frac{1}{\sqrt{LC}} [/itex]

    2. Relevant equations

    3. The attempt at a solution

    EDIT: I got the Z wrong. It's [tex] Z = \frac{L}{C(j{\omega}L - \frac{j}{{\omega}C})} [/tex]

    [STRIKE]For part b, I'm getting that Z = 0 simply by substituting in [itex]\omega[/itex].
    Is this correct? [/STRIKE]

    This gives an impedance of [itex]\infty[/itex]

    I feel more confident is this answer. I'm guessing that the current in the capacitor and inductor are out of phase by [itex]\pi[/itex] causing what appears to be an infinite impedance. I'm still curious as to the exact reason though, if anyone could lend help. Thanks!
    Last edited: Sep 12, 2011
  2. jcsd
  3. Sep 12, 2011 #2

    rude man

    User Avatar
    Homework Helper
    Gold Member

    Y = jwC - j/wL = j(wC - 1/wL) = j(w^2LC - 1)/wL

    Z= 1/Y = jwL/(1 - w^2LC)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook