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Circuit Problem with Resistors connected in parallel and series

  1. Sep 23, 2012 #1
    1. The problem statement, all variables and given/known data
    A circuit is constructed with five resistors and a battery as shown. The battery voltage is V = 12.0 V. The values for the resistors are: R1 = 76.0 Ω, R2 = 149.0 Ω, R3 = 169.0 Ω, and R4 = 121.0 Ω. The value for RX is unknown, but it is known that I4, the current that flows through resistor R4, is zero.

    Find I1

    2. Relevant equations
    Resistors in Series
    Req = R1 + R2
    Veq = V1 + V2
    Ieq = I1 = I2

    Resistors in Parallel
    Req = (1/R1 + 1/R2)^-1
    Veq = V1 = V2
    Ieq = I1 + I2

    V = IR

    3. The attempt at a solution

    I know this has been asked elsewhere, but I read the other threads and couldn't get anything that helped me from them. I think I'm just having trouble visualizing the problem, and breaking the circuits into parts. I guess I'm having a lot of trouble visualizing how the energy travels through the circuit.

    I just can't picture it at all. I started by combining the circuits into R13, R4, and R2x. I'm guessing that for I4 to be zero, I14 has to equal I2. Ahh... If I can see this problem built once, I'm sure I could do it over and over again. Help plz...
     

    Attached Files:

  2. jcsd
  3. Sep 23, 2012 #2

    gneill

    User Avatar

    Staff: Mentor

    How did you combine things? There are no series or parallel component opportunities in the circuit as drawn.

    Hint: If I4 is zero, what does that tell you about the potential across R4, and thus the potentials of the nodes that R4 connects to?
     
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