- #1

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## Homework Statement

Determine the three node voltages, va, vb, and vc, when all the conductance's are equal to 1S

Circuit Diagram:

The labels are a bit cut off, hope you guys can see it. The current source parallel with G2 is 3A

## Homework Equations

## The Attempt at a Solution

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I think their is a mistake in their solutions to the equations

**These are my equations:**

Node A:Va(G1+G2+G6) - G2*Vb - G6*Vc = 9-3

Node A:

**Node B:**-G2*Va + Vb(G2 + G3+ G4) - G4*Vc = 3

**Node C:**-G6*Va - G4*Vb + Vc(G4 + G5+ G6) = 7

**Va(G1+G2+G3) - G2*Vb - G6*Vc = 9-3...........................How is G3 included when it is part of node B ?**

These are the textbook solutions:

Node A:

These are the textbook solutions:

Node A:

**Node B:**-G2*Va + Vb(G2 + G3+ G4) - G4*Vc = 3

**Node C:**-G6*Va - G4*Vb

**-**Vc(G4 + G5+ G6) = 7..................How did they get -Vc ?

My main question is, Is the textbook correct, If yes, then why ?

Thanks