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Energy stored on a capacitor

  1. Aug 19, 2007 #1
    1. The problem statement, all variables and given/known data
    Express the energy stored on a capacitor in terms of L, R, V in a standard LRC circuit. The circuit is at resonance.

    2. Relevant equations
    E = 1/2 CV^2

    3. The attempt at a solution
    Well I start with substituting C with something else.
    1) C = 1/(Lw^2)
    So E = 1/2 V^2/(Lw^2)

    2) That's where I begin to have problems. I've then tried w = 2pi*f and f = R/L

    Therefore E = V^2 * L /(2R^2 * 4pi^2). Unfortunately, I'm close to the answer but the 4pi^2 term is where my problem lies. Anyone know where I went wrong?
  2. jcsd
  3. Aug 19, 2007 #2
    Cancel that, I figured it out
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