Consider an LC circuit, in which the charge on the capacitor as a function of ti
ID: 1552326 • Letter: C
Question
Consider an LC circuit, in which the charge on the capacitor as a function of time is given by Q(t) = Q_0 cos (omega t). Recoil that omega in this case is the angular frequency which depends on both the inductance and the capacitance, as can be seen on your formula sheet. From this expression you can see that, at t = 0, the charge on the capacitor is at a maximum. Suppose that the capacitor has a capacitance C = 115 mu F and that the inductor has on inductance L = 68 mH. Using this information, how much time would be required to complete half of a full cycle, i.e. the total time for the charge on the capacitor to reach a value of -Q_0 for the first time?Explanation / Answer
w = 2pi/T
T = time period
w = 1/sqrt(LC)
1/sqrt(LC) = 2pi/T
T = 0.0175 s
for half cycle = T' = T/2 = 8.785 x 10^-3 s