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nodal analysis?

Discussion in 'Electronics Homework Help' started by ashmellor, Nov 10, 2011.

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  1. ashmellor

    ashmellor

    2
    0
    Nov 10, 2011
    hi all
    im trying to complete nodal analysis of some simple circuits, i have sets of values from the mesh current method and am struggling with nodal voltage analysis. any pointers? for example the simple circuit below:


    component values:

    Vs1 = 5v, Vs2 = 20v, R1 = 20, R2 = 5 and R3 = 5.

    [​IMG]
     
  2. Laplace

    Laplace

    1,252
    184
    Apr 4, 2010
    This is a particularly easy example. There is only one node whose voltage is determined by the circuit and the applied voltage sources, so only one node equation is necessary. The sum of all currents entering and leaving node V1 must equal zero. Any particular current either entering or leaving the V1 node has the form:

    (V1-(voltage at other node))/(resistance between node V1 and the other node)

    Just add them all up and set the sum equal to zero. That is your node equation.
     
  3. sherjan

    sherjan

    5
    0
    Nov 8, 2011
    Dear there is one node so the equation will be

    (V1-5)/20+V1/5+(V1-20)/5=0

    By solving this equation we get

    V1=9.4v

    now the voltage across R1=V1-V0=9.4 - 5=4.4v
    --------------------------------R3=V2-V1=20-9.4=10.6V
    --------------------------------R2=V1=9.4v
     
  4. ashmellor

    ashmellor

    2
    0
    Nov 10, 2011
    thanks for the replies, they were helpful!
    regards
    ash
     
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