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Basic circuit analysis. Tried to do using integral method but stuck &ran out of ideas

  1. Nov 11, 2012 #1
    1. The problem statement, all variables and given/known data

    The current flowing through an element is i = 2 A for 0<t<1 and i = 2t^2 A for t>1
    Calculate the charge entering the element from t=0s to t=2s.
    Answer: 6.667 C.


    2. Relevant equations
    I used Q=t1∫t2 i dt



    3. The attempt at a solution
    I tried to solve using integral method. but how to proceed here as for 0<t<1 i is constant and i am stuck. Are there any other methods.
     
  2. jcsd
  3. Nov 11, 2012 #2
    Re: Basic circuit analysis. Tried to do using integral method but stuck &ran out of i

    I think this is a very basic problem but still I cannot do it because i am a newbie and may be to need work harder. Sorry for consuming your time.
     
  4. Nov 11, 2012 #3

    SteamKing

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    Re: Basic circuit analysis. Tried to do using integral method but stuck &ran out of i

    If the current is constant over a given time interval, how much charge is accumulated? Remember, 1 ampere = 1 coulomb / second.

    Why did you chose the integral method to solve this problem if you cannot integrate a constant function?
     
  5. Nov 11, 2012 #4
    Re: Basic circuit analysis. Tried to do using integral method but stuck &ran out of i

    Thank you for pointing out. I made this post in hurry without thinking. And now i got the answer myself.

    for 0s to 1s i = 2A so q = 2C

    for 1s to 2 s i calculated by integrating i wrt dt between 1s to 2s

    and added two values and the answer is correct.
     
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