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Math Help - Solve for the current in each branch of the circuit...

  1. #1
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    Solve for the current in each branch of the circuit...

    Solve for the current in each branch of the circuit shown below.

    Note:

    E1= 10 V
    R1= 10 (Omega)
    E2= 20 V
    E3= 30 V
    R2= 20 (Omega)
    R3= 30 (Omega)

    Here's a (poorly drawn) diagram: http://i449.photobucket.com/albums/q...r/untitled.jpg

    Any help would be greatly appreciated.

    __

    Would you go V= IR?

    Or take 1 over the resistor values and add them together?
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  2. #2
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    If you add the currents flowing into node A, they have to sum to zero:

    I_1+I_2+I_3=0

    Let E_A be the voltage at A. Then use I=E/R to calculate each of the currents:

    \frac{30-E_A}{30}+\frac{20-E_A}{20}+\frac{10-E_A}{10}=0

    1-\frac{E_A}{30}+1-\frac{E_A}{20}+1-\frac{E_A}{10}=0

    3=\left(\frac{1}{30}+\frac{1}{20}+\frac{1}{10}\rig  ht)E_A

    and now that you have E_A, you can use I=E/R to calculate each of the currents.

    Post again if you're still having trouble.
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