P 4.3-12 Determine the values of the node voltages of the circuit shown in Figure P 4.3-12.

Figure P 4.3-12

We have two voltage relationships

and

With the set up, we actually have a 3 point supernode with v₁, v₂, and v₃. The Supernode equation becomes

Using a common denominator

So equation becomes

Replace v₂ and v₃ with the first two equations

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This page last updated on January 30, 2019