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JNBirDy
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Homework Statement
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.
Homework Equations
L(dI/dt) + RI + q/C = 0
τ= L/R
γ = R/L
Q = (1/R)√(L/C)
The Attempt at a Solution
Not sure how to start, any help is appreciated.