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Homework Help: RLC Circuit (with critical and heavy damping)

  1. Oct 15, 2011 #1
    1. The problem statement, all variables and given/known data
    Consider a RLC circuit.

    a) Suppose the parameters are chosen to give critical damping. The capacitor is charged to a voltage of V₀ and at time equal to zero the switch is closed. Find the time at which the magnitude of the current reaches a max, and find the value of the current at that time.

    b) Consider the case of very heavy damping. Show that the charge on the capacitor declines approximately as e[itex]^{-t/τ}[/itex], where the τ (relaxation time) is approximately equal to RC.

    2. Relevant equations
    L(dI/dt) + RI + q/C = 0

    τ= L/R

    γ = R/L

    Q = (1/R)√(L/C)

    3. The attempt at a solution

    Not sure how to start, any help is appreciated.
  2. jcsd
  3. Oct 15, 2011 #2


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    Staff Emeritus
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    Find out what critical & heavy damping are.
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