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Damped Oscillations in an RLC circuit

  1. Aug 5, 2013 #1
    1. The problem statement, all variables and given/known data

    A single loop circuit consists of a 7.2 ohm resistor, a 11.9 H inductor, and a 3.4*10^-6 F capacitor. Initially the Capacitor has a charge of 6.3*10^-6 C and the current is zero. Find the charge on the capacitor N complete cycles later for N=5.


    2. Relevant equations

    2. Relevant equations
    q=Qe^(-Rt/2L)cos(wt + p), where p is the phase constant and w is the angular frequency.

    3. The attempt at a solution

    I have already found angular frequency to be 157.2122, but how do I relate this to time it takes to make 5 cycles? I do not fully understand the definition of w.
    (the idea of angular frequency has always been quite confusing to me as I have not yet taken mechanics and am doing E&M first)
     
  2. jcsd
  3. Aug 5, 2013 #2

    ehild

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  4. Aug 5, 2013 #3

    rude man

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    Angular frequency is radians per second. So 1 rotation per second is 2pi radians per second. Etc.

    If you know w which = 2pi * f, then period T = 1/f as you know I'm sure.
     
  5. Aug 5, 2013 #4
  6. Aug 5, 2013 #5

    ehild

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    Yes.

    ehild
     
  7. Aug 5, 2013 #6

    rude man

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    Yes again.
     
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