cartman007
Member level 2
Hi everyone.
I received this question as part of a test that I can do in my own time.
Problem is I have not been doing electronics for a long time now so I have allot of catch up work to do.
I have done the problem I would just like peoples opinions on if its correct and if Nodal or Mesh analyses would have been a better quicker option.
I used Mesh
A: 48=4(ia-ib)+8(ia-ic) ; 48 = 4ia - 4ib + 8ia - 8ic ; 12 = 3ia - ib -2ic
B: 0 = 4(ib - i1) + 6ib + 2(ib - ic) = 0=4ib - 4ia + 6ub + 2ib -2ic ; 0 = -4ia +12ib -2ic ; 0 = -2ia + 6ib - ic
C: 0 = 2(ic -ib) +8( ic - ia) ; 0 = -4ia -ib + 5ic
So when plugged into a Matrix and get the inverse I get the following
| 29 7 13| |12|
1/21| 14 7 7 | | 0 |
| 26 7 7 | | 0 |
So multiplying it out I get
ia = 16.57A
ib = 8A
ic = 14.857A
Finding I.
I = ia = 16.57A
Finding I1.
I1 = ( ia - ic ) = ( 16.57 - 14.857 ) = 1.713A
Does this seem correct?
Thanks
I received this question as part of a test that I can do in my own time.
Problem is I have not been doing electronics for a long time now so I have allot of catch up work to do.
I have done the problem I would just like peoples opinions on if its correct and if Nodal or Mesh analyses would have been a better quicker option.
I used Mesh
A: 48=4(ia-ib)+8(ia-ic) ; 48 = 4ia - 4ib + 8ia - 8ic ; 12 = 3ia - ib -2ic
B: 0 = 4(ib - i1) + 6ib + 2(ib - ic) = 0=4ib - 4ia + 6ub + 2ib -2ic ; 0 = -4ia +12ib -2ic ; 0 = -2ia + 6ib - ic
C: 0 = 2(ic -ib) +8( ic - ia) ; 0 = -4ia -ib + 5ic
So when plugged into a Matrix and get the inverse I get the following
| 29 7 13| |12|
1/21| 14 7 7 | | 0 |
| 26 7 7 | | 0 |
So multiplying it out I get
ia = 16.57A
ib = 8A
ic = 14.857A
Finding I.
I = ia = 16.57A
Finding I1.
I1 = ( ia - ic ) = ( 16.57 - 14.857 ) = 1.713A
Does this seem correct?
Thanks