- V1 = Ia*( R1 + R2 + R3 ) - Ib * R2 write mesh Eqs directly as shown
Finally , I show a direct AB comparison to how the books want us to write the mesh Eqs. , compared to using classic KVL ohm's law .
a "pattern" also occurs when writing Node equations using
KCL ohm's law .
We can directly write Node equations too , if we want .
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extra note :
we found R3 voltage as + +V -
with the Left side more +pos then the Right side .
a DVM can easily verify our analysis .
since the +-polarities given to R3 are not important ,
in the context that VR3 is not a controlling voltage
for any VCVS voltage controlled voltage source .
we can swap the +-polarities for R3 .
( our mesh equation for Ia stays the same )
now , we find VR3 as - -V +
when we interpret this result , we find
the Left side is still more +pos then the Right side .
a DVM can easily verify our analysis .
absolutely , the Left side of R3 is more +pos then the Right side .
while the analysis , a long the way , was very arbitrary .
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