A series RCL circuit contains only a capacitor (C = 8.46 μF), an inductor (L = 6.01 mH), and a generator (peak voltage = 77.4 V, frequency = 2.45 x 103 Hz). When t = 0 s, the instantaneous value of the voltage is zero, and it rises to a maximum one-quarter of a period later. (a) Find the instantaneous value of the voltage across the capacitor/inductor combination when t = 4.32 x 10^-4 s. (b) What is the instantaneous value of the current when t = 4.32 x 10^-4 s?
v(t) = V*sin(2pi*ft)
z= square root(R^2 + (Xl-Xc)^2)
The Attempt at a Solution
v(t)=(77.4)*sin(2pi*2450*4.32*10^-4) = 8.96 V
z=square root(0^2 + (.00601-8.46x10^-6)^2) = .00600154
I=V/Z = 8.96/.00600154 = 1492.95 A
Niether 8.96 or 1492.95 are correct answers.. Am I doing this completely wrong? Any help will be greatly appreciated, this problem is due soon and I'm freaking out! :[