Hello,
I've been trying to learn about other analysis methods, but have also come back to mesh analysis to make sure I have it down. I have recently encounted a problem with 4 sources, 2 dependent, and 2 independent. The problem can be found here (second half of the video;I know it's node voltage analysis but I'm trying to solve it with mesh). Alternatively, I have taken a screenshot for convenience.
I have formulated the following system of equations with meshes ia-if (starting from top left and going right like reading a letter)
ia+1(ia-id)+i(ia-ib)=0
1(ib-ie)+1(ib-ia)-6)=0
6+2(ie-if)+1(ic-if)=0
-12+1(id-ia)+2ia=0
2ia+1(ie-ib)+1(ie-if)=0
1(if-ie)+1(if-ic)+if=0
I have used:
I_x=ie-if
V_x=1*ia
My solutions are: ia=24/7,ib=12/7,ic=-390/7,id=60/7,ie=-6,if=-144/7 (solved with mathematica)
These don't agree with those found in the video.
May someone please check over my answers or tell me what I did incorrectly? I have used kiloOhms as units, but any place value changing still seems to have differing answers.
Thank you very much!
I've been trying to learn about other analysis methods, but have also come back to mesh analysis to make sure I have it down. I have recently encounted a problem with 4 sources, 2 dependent, and 2 independent. The problem can be found here (second half of the video;I know it's node voltage analysis but I'm trying to solve it with mesh). Alternatively, I have taken a screenshot for convenience.
I have formulated the following system of equations with meshes ia-if (starting from top left and going right like reading a letter)
ia+1(ia-id)+i(ia-ib)=0
1(ib-ie)+1(ib-ia)-6)=0
6+2(ie-if)+1(ic-if)=0
-12+1(id-ia)+2ia=0
2ia+1(ie-ib)+1(ie-if)=0
1(if-ie)+1(if-ic)+if=0
I have used:
I_x=ie-if
V_x=1*ia
My solutions are: ia=24/7,ib=12/7,ic=-390/7,id=60/7,ie=-6,if=-144/7 (solved with mathematica)
These don't agree with those found in the video.
May someone please check over my answers or tell me what I did incorrectly? I have used kiloOhms as units, but any place value changing still seems to have differing answers.
Thank you very much!