Mesh A: -40+ia(2)+(ia-ib(8)=0
-40+2ia+8ia-8ib=0
*10ia-8ib=40
MeshB: ib-ia(8)+ib(6)+(ib-ic(6)=0
8ib-8ia+6ib+6ib-6ic=0
*-8ia+20ib-6ic=0
Mesh C: (ic-ib)6+ ic(4)+20=0
6ic-6ib+4ic+20=0
*-6ib+10ic=-20
Use Matrix Equation:
X=A_inverse •B
[ia] [5.6] i=5.6A
[ib]= [2.0]
[ic] [-0.8]
Mesh A: Vo=ia-ib(8)
Vo=(5.6-2.0)(8)
Vo=28.8V
Mesh B:
Vo=ib-ic(6)
Vo=2.0-[-0.8](6)
Vo=16.8V
Vo=2.0-(-0.8)(6)
Mesh:C
Vo=ic-ib(6)+ic(4)
Vo=(-0.8-2.0)(6)+(-0.8)(4)
Vo=-20