The problem statement is to determine the values of the mesh currents of the circuit shown. See figure attached for my attempt and the circuit in question.

Does anyone have any idea where I went wrong?

I think I need to use the fact that \(i_{3} = 4i_{x}\), and I can get \(i_{x}\) by using a KCL at node a.

Any corrections on my work/suggestions/hints?

Thanks again!


EDIT: On a second attempt I obtained the following results,

i1 = .328A

i2 = -.609A

i3 = -.438A

Does that look any better?

 

As an initial observation, it is clear that i1=ix so one would presume that i3=4*ix=4*i1

So the results you have for i1 & i3 aren't consistent with that requirement.

It would perhaps be worth your while to solve this by a purely nodal analysis approach and this may highlight where the error is arising.

I have

ix=i1=-0.375A.

 

As an initial observation, it is clear that i1=ix so one would presume that i3=4*ix=4*i1

So the results you have for i1 & i3 aren't consistent with that requirement.

It would perhaps be worth your while to solve this by a purely nodal analysis approach and this may highlight where the error is arising.

I have

ix=i1=-0.375A.

Okay I tried solving it a 3rd time and I got i1 = -.292A

I can't see what I'm doing wrong if anything.

 

Why is it that in your edited post #1, you have a value of -.609A listed in the body of the post, but in the attachment you have I2 = -19/24 = -.7916667?

Okay I tried solving it a 3rd time and I got i1 = -.292A

I can't see what I'm doing wrong if anything.

The values I get are:

I1 = -7/24 = -.2916667
I2 = -19/24 = -.7916667
I3 = -7/6 = -1.166667

 

Agreed - my bad on that value of I1. Checked my working again - as attached. Mental math has gone off lately!

 

Why is it that in your edited post #1, you have a value of -.609A listed in the body of the post, but in the attachment you have I2 = -19/24 = -.7916667?



The values I get are:

I1 = -7/24 = -.2916667
I2 = -19/24 = -.7916667
I3 = -7/6 = -1.166667

Okay thank you, I've got it now in my third attempt.

The difference in values is from different attempts.

First attempt on my figure, second in bold on my first post and on my third attempt I finally got it!

Thanks again everyone!