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Complex numbers simple circuit

  1. Sep 22, 2008 #1
    1. The problem statement, all variables and given/known data
    Code (Text):

     

     __Is_____R_____
     |      |
     |             |
    +|         ___ C   
     Vs     _
    -|      |
     |      |            
     |_____________|



     
    Find Is

    3. The attempt at a solution


    [tex]
    Z= R+\frac1{jwC}
    [/tex]

    [tex]
    Vs=coswt
    [/tex]

    [tex]
    Is=\frac{coswt}{R+\frac1{jwC}} * \frac{(jwC)}{(jwC)}
    [/tex]

    [tex]
    Is=\frac{coswt*jwC}{RjwC+1} * \frac{(1-RjwC)}{(1-RjwC)}
    [/tex]

    [tex]
    Is=\frac{coswt*jwC+coswt*R(wC)^2}{1+(RwC)^2}
    [/tex]

    [tex]
    Is=\frac{coswt*wC(j+RwC)}{1+(RwC)^2}
    [/tex]



    My book is pretty crappy so there are no examples

    Is it right until that point? Can I simplify it some more? what is the best form to put it on? how would it look in exponential form?



    Input appreciated
     
    Last edited: Sep 22, 2008
  2. jcsd
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