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Solving for current in circuit with several light bulbs

  1. Apr 17, 2016 #1
    1. The problem statement, all variables and given/known data
    5lw1n6w.png

    2. Relevant equations
    Series

    Vt= V1 + V2 + V3 etc
    It = I1 = I2 = I3 etc
    Parallel
    Vt = V1 = V2 = V3 etc
    It = I1 + I2 + I3
    3. The attempt at a solution

    Vt= 20V V2= 5.0 V V4= 8.0V
    It= 150 mA I2= 40 mA
    Find I3, and I4

    I've solved for the values of V already
    V1 = 7.0V
    V3 = 5.0V
    So Vt = V1+V2=V3+V4
    = 7.0V + 5.0V + 8.0V = 20V
    But I'm getting confused on solving for I which is current.

    I1 is in series with I2 and I4, but I2 is also parallel to I3. So which set of laws would I apply for solving for I3?
    I know I1=I4 since they're in series.
    I'm assuming I1=I1=It - I2
    = 150 mA - 40mA = 110mA
    But still stuck on how to solve for I3, since its not stated the bulbs are identical so I'm unsure if I3 would also be 40mA. I'd appreciate any help I can receive.
     
  2. jcsd
  3. Apr 17, 2016 #2

    Titan97

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    Gold Member

    Shouldn't current be in the opposite direction?
    Also, Have you tried applying Kirchoff's loop rule?
     
  4. Apr 17, 2016 #3
    I copied everything from the diagram the current flows the way it does since it starts from the negative part of the cell and flows along to the positive part of the cell. I also don't believe I've learned about Kirchoff's loop rule yet. Once it reaches the box where I2 is it has two possible paths going down to V2 or proceeding forward and then down to I3/V3.
     
  5. Apr 17, 2016 #4

    cnh1995

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    The direction of current is conventionally from +ve terminal to -ve terminal of the battery, as Titan97 said earlier. But using the given convention, it won't affect the calculations once you flip the voltage polarities accordingly. Also, there is only one source present(Vt), rest all are bulbs.
    Where is It in your diagram?
     
  6. Apr 17, 2016 #5
    Itotal is just past V4
     
  7. Apr 17, 2016 #6

    cnh1995

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    Then isn't It=I1? You have I1 and I2. What is the relation between i1, i2 and i3?
     
  8. Apr 17, 2016 #7
    I know I1 is 110mA
    Since I2 is 40mA
    As I1=I4=It-I2
    Since the total incoming has to equal the total outgoing.

    But the issue I'm having is I3 is parallel to I2

    Since 110ma+40 mA = 150 mA which is the It.

    But the relationship for parallel is It= I1+I2 etc, so I'm unsure how to go about solving for I3.
     
  9. Apr 17, 2016 #8

    cnh1995

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    If It is just past V4, then I1=I4=It.
     
  10. Apr 17, 2016 #9

    cnh1995

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    KCL says incoming current at a point is equal to the outgoing current. If you apply that, you can see
    I1=I2+I3.
     
  11. Apr 18, 2016 #10
    Where are the several sources? It looks like only one. Shouldn't all V's be the same if there are no resistors?
     
  12. Apr 18, 2016 #11

    SammyS

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    There appears to be only one source.

    No. The V-s are not all the same. Several are given.

    Apparently the problem statement is that:
    Vt= 20V, V2 = 5.0 V, V4= 8.0V
    It= 150 mA, I2= 40 mA

    Find I3, and I4

    And it looks like OP uses electron current, rather than conventional current..
     
  13. Apr 20, 2016 #12
    Thank you SammyS
     
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