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Calculating Node Voltage using Nodal Analysis

  1. Dec 20, 2016 #1
    1. The problem statement, all variables and given/known data
    The circuit is driven by a voltage source,
    Vs(t)= 8.2 cos(1.8 t − 0.25 )V .

    The circuit elements are given as follows.
    G1= 5 S,G2= 7.6 S,G3=3.8 S
    (Gi is the conductance of corresponding resistor Ri)
    L1= 20 H,C1= 5×10−2 F

    If we select Node 4 as the reference node, find the node voltage of Node 1, V1.

    2. Relevant equations
    Σ Ik = 0

    ΣVk = 0

    3. The attempt at a solution
    I've been able to find values for the resistance R1 = 0.2Ω , R2 = 0.132Ω and R3 = 0.263Ω but continuing on from their is a bit of a struggle. I'm unsure as to how I can apply KCL and KVL in a way that will enable me to find the voltage.

    AC-steady-b.jpg

     
  2. jcsd
  3. Dec 20, 2016 #2

    gneill

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    Staff: Mentor

    Hi TheBigDig,

    Please retain the formatting template headings when you construct your homework help request posts. This time I've re-inserted them for you and fixed the excessive use of bold font.

    Regarding the problem, what component is directly connected between nodes 1 and 4?
     
  4. Dec 21, 2016 #3
    The voltage source?
     
  5. Dec 21, 2016 #4

    gneill

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    Staff: Mentor

    Yes. What can you conclude from that regarding the potential difference between nodes 1 and 4?
     
  6. Dec 24, 2016 #5

    CWatters

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    Science Advisor
    Homework Helper

    Are you sure that's what the question asks?
     
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