I2 VI A 8 R, R3 D D CIRLUIT I CURMIT 2
Circuits 1 and 2 are connected at their terminals B and D. We are given the following values: R1 = 8 Ω, R2 = 5 Ω, R3 = 4 Ω, V1 = 10 V, I1 = 3.5 A, and I2 = 3 A.
Using nodal analysis, we can derive nodal equations for node C and supernode V1 in terms of the nodal voltages VA, VB and VC.
From the circuit, we can get the relationship V1=VA−VB and can be re-written to the form:
a0VA + b0VB + c0VC= d0 --> (−1)VA +(1)VB + (0)VC = 10
V1 is also a supernode that combines nodes A and B. We can derive a nodal equation and rewrite it to the similar form: a1VA + b1VB+ c1VC = d1.
Similarly, for node C, nodal equation can be derived and written into similar form: a2VA+ b2VB + c2VC = d2
Determine value of a1, b1, c1, and d1 as well as value of a2, b2, c2, and d2, respectively.
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