Circuit with 2 Batteries and 6 Resistors

  1. 1. The problem statement, all variables and given/known data

    A circuit is constructed with six resistors and two batteries as shown. The battery voltages are V1 = 18 V and V2 = 12 V. The positive terminals are indicated with a + sign, The values for the resistors are: R1 = R5 = 73 Ω, R2 = R6 = 121 Ω R3 = 62 Ω, and R4 = 92 Ω. The positive directions for the currents I1, I2 and I3 are indicated by the directions of the arrows. What is V4, I1, I2, and I3?

    2. Relevant equations

    V=IR

    3. The attempt at a solution
    -I3R3+I1R1-ΔV1=0
    +I6R6-ΔV2+I2R2+I1R1=0
    -I1R1-I2R2-I5R5-I4R4-I6R6=0
    -ΔV1-I3R3-I2R2+ΔV2-I6R6=0
    -ΔV2-I5R5-I4R4=0
    -I4R4-I6R6-ΔV1-I3R3-I2R2-I5R5=0

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  2. jcsd
  3. Drakkith

    Staff: Mentor

    FYI homework questions should be posted in the appropriate homework forum.
     
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