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A circuit with multiple sources of voltage

  1. Oct 19, 2016 #1
    1. The problem statement, all variables and given/known data
    Solve this circuit:
    a) Mark all currents
    b) Write a system of equations allowing you to solve for the currents


    2. The attempt at a solution
    Part a) in attachment.
    Part b)
    [tex]
    \epsilon_1 = i_1 r_1 + (i_1 + i_2 + i_3) R [/tex]
    [tex] \epsilon_2 = i_2 r_2 + (i_1 + i_2 + i_3) R [/tex]
    [tex] \epsilon_3 = i_3 r_3 + (i_1 + i_2 + i_3) R
    [/tex]

    Is this solution valid?
     

    Attached Files:

  2. jcsd
  3. Oct 19, 2016 #2

    haruspex

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    Looks right.
     
  4. Oct 19, 2016 #3

    gneill

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    Staff: Mentor

    That will work. Your equations look fine.
     
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