Skip to main content
ttokoro
21-Topaz I
ttokoro21-Topaz I
21-Topaz I
October 23, 2024
Solved

Electrical Engineering Challenge #7

  • October 23, 2024
  • 4 replies
  • 1901 views

In these days, www.academia.edu shows me a lot of contents of electrical engineering.

I am interested in one book, "Circuit Analysis I with MATLAB® Applications", Orchard Publications. The top cover page shows this circuit problem. It may be the best question of this book that Matlab can use to solve it.

image.pngimage.png

I try to solve this one by Mathcad Prime 10.

image.png

I am standing Mathcad side. So, try and Challenge it!

Best answer by AlanStevens

The Matlab instructions don't reflect the problem correctly! They should be:

 

G = [35/50-1j*3/50, -1/5; -1/10, 1/10+1j*1/10];
I = [1; 0];
V = G\I;
Ix = 5*V(2,1)/4;
magIx = abs(Ix);
theta = angle(Ix)*180/pi;

 

giving the result:

 

magnitude = 1.47 A theta = -48.81 deg

 

Alan

4 replies

A
AlanStevens19-TanzaniteAnswer
19-Tanzanite
October 23, 2024

The Matlab instructions don't reflect the problem correctly! They should be:

 

G = [35/50-1j*3/50, -1/5; -1/10, 1/10+1j*1/10];
I = [1; 0];
V = G\I;
Ix = 5*V(2,1)/4;
magIx = abs(Ix);
theta = angle(Ix)*180/pi;

 

giving the result:

 

magnitude = 1.47 A theta = -48.81 deg

 

Alan

    S
    StuartBruff23-Emerald V
    23-Emerald V
    October 23, 2024

    Oops!  Forgot to add the simple way of doing it ...

     

    2024 10 23 B.png

      S
      StuartBruff23-Emerald V
      23-Emerald V
      October 23, 2024

      2024 10 23 A.png

       

      Stuart

        -
        -MFra-21-Topaz II
        21-Topaz II
        November 2, 2024

        It should be noted that an electrolytic capacitor in an AC circuit is not really suitable as it must be polarized.

          -
          -MFra-21-Topaz II
          21-Topaz II
          November 2, 2024

          The circuit was interesting, so I analyzed it by applying the results of network topology. Having defined the branch equations and the  node voltage vectors as well as the branch voltage and current vectors, I applied the method of node voltages. I obtain the same results by applying the analysis method based on independent meshes and the method based on independent cutting sets. In the following photos there are all the calculations:

           

          Challenge #7 1.jpgChallenge #7 2.jpgChallenge #7 3.jpgChallenge #7 4.jpgChallenge #7 5.jpgChallenge #7 6.jpgChallenge #7 7.jpgChallenge #7 8.jpgChallenge #7 9.jpgChallenge #7 10.jpgChallenge #7 11.jpg

            S
            StuartBruff23-Emerald V
            23-Emerald V
            November 2, 2024

            Nice.

             

            Out of idle curiosity, how did you produce the graphs (eg, drawing package, application, or Mathcad)? 

             

            I'm reasonably sure that Mathcad could be induced (*) to draw them, including the filled arrowheads.  I wouldn't be surprised if somebody's done it (or several somebodies, independently).

             

            Stuart

             

            (*) Possibly by vile imprecations, threats, or withholding its pocket money.

            -
            -MFra-21-Topaz II
            21-Topaz II
            November 3, 2024

            Someone at Electrical Engineering on Stack Exchange told me that there are programs that do all this, but I don't know which ones. I drew all the graphs myself with Paint based on the network topology dictates and deduced from the texts of W. K. Chen and Chua-Desoer and Kuh. I agree that they could also be done with Mathcad. You just have to try.

            Terms & ConditionsAccessibility statement