nodal analysis

Discussion in 'Homework Help' started by e-learner, Oct 13, 2015.

  1. e-learner

    Thread Starter New Member

    Apr 25, 2015
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    how to calculate v1 and v2 using mesh analysis . I was able to solve using nodal analysis but when i tried solving using mesh analysis I could not. I made following equation:
    -3+7(i1-2)+15(i1)+5(i1+4i1)=0 (considering i1 as the mesh current)
    and then v2=i1*5 and v1-v2=i1*15.

    Is there some problem with the equations? IMG_20151012_112059.jpg
     
  2. shteii01

    AAC Fanatic!

    Feb 19, 2010
    3,377
    494
    One of the initial assumptions is that all mesh currents are in the same direction.
    You, the user, choose the direction. Either clockwise or counter clock wise.

    Your Mesh 1 current is 2 A, you chose clockwise.
    Your Mesh 2 current is i1, you chose clockwise.
    Your Mesh 3 current is 4(i1), you chose counter clock wise, mistake.
     
  3. e-learner

    Thread Starter New Member

    Apr 25, 2015
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    evenif I assume the current in clockwise direction , it will turn out to be positive. Is it not?
    -3+7(i1-2)+15(i1)+5(i1-(-4i1))0
    =>-3+7(i1-2)+15(i1)+5(i1+4i1)=0
     
  4. The Electrician

    AAC Fanatic!

    Oct 9, 2007
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    I see 3 meshes but only 1 mesh equation. I would label the mesh currents I1, I2 and I3 starting with the leftmost mesh current as I1. Can you write 3 mesh equations? Also, what did you get for V1 and V2 using nodal analysis?
     
  5. RBR1317

    Active Member

    Nov 13, 2010
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    Indeed, there are 3 meshes but only 1 mesh equation. Two of the meshes must provide constraint equations because one does not sum voltage drops across a current source. The sum of the mesh currents through a current source must equal that source of current. Also, though it is customary to have all mesh currents turn in the same direction, it is not required. Note that the variable 'i' will not appear in the mesh equation.
    IMG_20151012_112059.png
     
    Last edited: Oct 13, 2015
    e-learner likes this.
  6. The Electrician

    AAC Fanatic!

    Oct 9, 2007
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    The philosophy of the homework help forum is to guide the TS to the answer without giving too much of the answer itself. My intent here was to get the TS to recognize that 3 equations are needed. Part of what he may not have encountered before is a mesh including a current source, and if in the process of trying to write mesh equations, he realizes that mesh 1 and 3 need different treatment than summing voltages, we will have an opportunity to guide him. I think you may be going too far, too soon. You gave him the equation for mesh 1, without giving him a chance to derive it himself.

    In another thread, you gave the TS a solution while he (she?) was still in the process of working it out:
    http://forum.allaboutcircuits.com/t...not-figure-them-out.116339/page-3#post-909618

    It might be useful to a student of network theory to realize that the mesh method consists in finding equations that constrain the current in each mesh, whether by constraining the sum of voltages around the loop to be zero, or something else. Realizing when that "something else" is needed is part of the process.
     
  7. e-learner

    Thread Starter New Member

    Apr 25, 2015
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    hey, I posted wrong in my question. I actually calculated v2=(i1+4i1)*5.
    I had tried both mesh analysis and nodal analysis( I have attached the images). But I am getting wrong answer using mesh analysis. PLz help.
     
  8. e-learner

    Thread Starter New Member

    Apr 25, 2015
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    I found my mistake . I was calculating the dependent current source value in a wrong way. Ignore the above attached image of mesh analysis.Thank you so much. :)
     
  9. e-learner

    Thread Starter New Member

    Apr 25, 2015
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    Thank you so much:) .Although you give a hint but it took me a couple of hours to find my mistake. This problem was troubling me for days. At last, I learned something.
     
  10. e-learner

    Thread Starter New Member

    Apr 25, 2015
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    I wrote single equation. I found my mistake, I was calculating Dependent current source value As 4i2( considering i2 as the middle mesh current).
     
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