Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Differential Equation in circuit question

  1. Feb 10, 2010 #1
    1. The problem statement, all variables and given/known data

    In a circuit with capacitance C, inductance L and resistance R the current I(t)
    satisfies the differential equation

    L d2I(t)/dt2 + R dI(t)/dt + I(t)/C = V(t)

    where V (t)
    is the voltage supplied.
    a) Find the general solution to this differential equation
    for the case that the resistance can be neglected, R = 0,
    and the voltage is constant, V (t) = V0.
    b) Determine the solution of part a) that satisfies the initial conditions I(0) = 0 and dI/dt(0) = 0

    2. Relevant equations

    3. The attempt at a solution

    As this is a linear second order ODE, with constant coefficients, I have tried calculating the homogeneous equation (place V(t)=0) but cannot seem to get an answer, and I am not sure what ansatz to use.

    please help
  2. jcsd
  3. Feb 10, 2010 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    Show us what you have so far so we can see where you're getting stuck.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook