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posted by  workingtoohard on 10/8/2008 7:53:12 PM  |  status: Closed  

KCL

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Question Details:
I have already done mesh analysis on a circuit, and I need you to Solve I1, I2, I3, and I4.
 
1)
2)
3)
4) 
Values for resistances are: R1=R2=R5=R6= 33k ohms, R3=Rx=R4=15k ohms
 
I need you to show your steps. Simply saying I2 = ...  is not enough.
Everyone has their own personal way of substituting.
 
That is all the information I think you require.  If it isn't, message me.
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posted by shann(EE-SME) on 10/9/2008 12:14:45 AM  |  status: Live
Asker's Rating: Lifesaver   
workingtoohard's comment:
"Thankyou, it's nice to have a second opinion. Your answers are correct."
Response Details:
Given euqations are
............... (1)
............... (2)
................ (3)
.................... (4)
By substituting all given values in the above equations we can get
................ (A)
................. (B)
............. (C)
................... (D)
By arranging above A, B, C and D equations in matrix form we can get
 
To solve this Matlab code is as below:
 

>> A=[66000 -33000 0 0;-33000 63000 -15000 0;0 -15000 63000 -33000;0 0 -33000 66000]

A =

       66000      -33000           0           0
      -33000       63000      -15000           0
           0      -15000       63000      -33000
           0           0      -33000       66000

>> B=[12;0;0;-6]

B =

    12
     0
     0
    -6

>> C=inv(A)*B

C =

  1.0e-003 *

    0.2422
    0.1208
   -0.0256
   -0.1037

Therefore
,
,
 and
I hope this helps you............................
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