1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Differentials/ second order/ electrical vibration

  1. Oct 23, 2012 #1
    1. The problem statement, all variables and given/known data
    A simple series circuit has an inductor of 1 henry, a capacitor of 10^-6 farads, and a resistor of 1000 ohms. The initial charge on the capacitor is zero. If a 12V battery is connected is connected to the circuit, and the circuit is closed at t=0, find the charge on the capacitor 1 second later and the steady state charge.

    From this I know initial current =0


    3. The attempt at a solution
    Q''+1000Q'+10^6Q=0
    Q(t)=C1(e^(-500t))cos(500sqrt(3)t)+C2(e^(-500t))sin(500sqrt(3)t)
    I got that far. now if I used Q(0)=0 and Q'(0)=0 I get C1=C2=0 which I think is wrong. Can someone help? Thank you in advance.
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Differentials/ second order/ electrical vibration
Loading...