In serious need of a/c circuits help

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SUMMARY

The discussion focuses on solving AC circuit problems using Kirchhoff's Current Law (KCL) and Kirchhoff's Voltage Law (KVL) in MATLAB. The user successfully set up a matrix to solve for four currents at the circuit's corners and calculated the output voltage (Vo) using the currents derived from KCL and KVL equations. The user confirmed the results through MATLAB's reduced row echelon form (RREF) and noted that the nodal method yields the same results. The final output voltage calculated was Vo = -7.2138 - 6.5655i.

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  • Understanding of Kirchhoff's Current Law (KCL)
  • Understanding of Kirchhoff's Voltage Law (KVL)
  • Familiarity with MATLAB for matrix operations
  • Knowledge of AC circuit analysis techniques
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Homework Statement


[PLAIN]http://img233.imageshack.us/img233/5697/img1251b.jpg


Homework Equations


KCL, KVL?


The Attempt at a Solution


For problem two I was able to use kcl and kvl to set up a matrix to solve for the 4 currents (at each corner) but i need to plug it into MATLAB as soon as i figure out how. Aside from that I am completely lost.
 
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should probably show some attempt, and put this in the engineering forum
 
Tom McCurdy said:
should probably show some attempt, and put this in the engineering forum

Ok i took what i had so far for number to and used MATLAB to try and figure out Vo

What i did was use kvl of the top two loops together to get
0=-j4(I1)+6(I2)+j5(I2-I4)+8(I1-I3)

then kcl at the top right mesh to get
I1-I2=-4

KVL @ bottom left to get
0=-10+8(I3-I1)+(-j2)(I3-I4)

And
I4=-3

Set up a matrix and used MATLAB to get it in rref which gave

Code:
   1(I1)            0                  0                  0            -1.8690 - 4.4276i
   0                 1(I2)             0                  0             2.1310 - 4.4276i
   0                 0                  1(I3)             0             0.2828 - 3.6069i
   0                 0                  0                  1(I4)       -3.0000

then (not really sure about this part)
used Io (current going up from borrom center through Vo)=I4-I3
used MATLAB and did I4-I3 which gave me Io=3.2828 - 3.6069i

then Vo=Io(-j2) ??
That gives me -7.2138 - 6.5655i but I am not sure if that's correct of not.
 
For question 1 you need to label the nodes and calculate the voltage differences and currents, by using Kirchoff's laws.
I don't know how to do question 2, because my single EE course didn't cover mesh analysis
The last question is done by solving the circuit with only one source turned one and doing that for each source, adding the final answers if I recall correctly
 
shadow7874 said:
then Vo=Io(-j2) ??
That gives me -7.2138 - 6.5655i but I am not sure if that's correct of not.

This is correct. It can also be solved by the nodal method, and doing so, I get the same result.

Now you only have two more to do!
 

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