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Problem involving Source Transformation and Nodal Analysis

  1. Nov 9, 2017 #1
    1. The problem statement, all variables and given/known data
    question.jpg

    2. Relevant equations


    3. The attempt at a solution
    I have attempted and completed all questions. However, I am now trying part (b) with transforming the voltage source into a current source. I am unable to work out the current and I am unsure what to do next.

    I have included my workings

    I believe the answer should be -0.5 A

    I appreciate any help. Thanks!

    Attempt at part (b):
    DocFile (5).jpg



    Completed Solution:
    DocFile (1).jpg DocFile (2).jpg DocFile (3).jpg DocFile (4).jpg
     
  2. jcsd
  3. Nov 10, 2017 #2
    In my opinion, all three solutions are correct.
     
  4. Nov 10, 2017 #3
    Thanks for checking my solution. I really appreciate it.

    However, what about my attempt at the source transformation of the voltage source? I haven't completed that part and I am unsure what to do. Any advice?
     
  5. Nov 10, 2017 #4

    scottdave

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    Homework Helper
    Gold Member

    You have 3 resistors in parallel. Find the current through that equivalent "resistor", which will give you the voltage across that resistance.
     
  6. Nov 10, 2017 #5
    upload_2017-11-10_11-59-32.png Source transformation is o.k.
     
  7. Nov 14, 2017 #6
    Thanks Scott! That's makes sense
    • The total resistance of the three resistors in parallel is 1 ohm.
    • The resulting current flowing into the resistors is -1 A.
    • The voltage across the three resistors is then -1V
    • And I = -V/2 = -1/2 = -0.5 A
     
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