- #1
justadaftspark
- 17
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Homework Statement
Determine using nodal analysis the current in branch Z4
Homework Equations
The Attempt at a Solution
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Not sure how to handle the source v3 my solution so far has came up with answers that are not the same as the answers that I got for mesh analysis.
Node A VA-V1/Z1+VA/Z4+VA-VB/Z2= 0
VA(1/Z1+Z2+Z4)-V1(1/Z1)-VB(1/Z2)=0
VA(0.5-j0.4)-VB(0-j0.2)=60+j0
Node B VB-VA/Z2+VB/Z5+VB-V2/Z3=0
-VA(1/Z2)+VB(1/Z2+Z3+Z5)-V2(1/Z3)=0
-VA(0-j0.2)+VB(0.25-j0.45)=0+j30
After plugging this into Wolframalpha I get VA = 79.93+j68.3
VB = -10.9+j36.42
Therefore VA/Z4 = -13.66+j15.99 A my answer from mesh = 8.78+j16.59 A I have put this back into the equations to confirm.
Like I say I am not sure about the V3 source.Is the potential at node VA the same as V3?
Many thanks for any help.