Solving Nodal Analysis: Find V1 and i1

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SUMMARY

The discussion focuses on solving a nodal analysis problem to find V1 and i1 in a circuit. The user correctly identifies that i1 is 0 due to a circuit break. The confusion arises regarding the number of nodes in the circuit, with the user initially believing there are four nodes but later clarifying that only two nodes are relevant for the analysis. Node 1 connects the 3 ohm, 2 A, and 1 ohm elements, while Node 2 connects the 1 ohm, two 6 ohm, 4 A, and 2 ohm elements.

PREREQUISITES
  • Understanding of nodal analysis in electrical circuits
  • Familiarity with circuit elements such as resistors and current sources
  • Knowledge of Ohm's Law and Kirchhoff's Current Law
  • Ability to identify and define nodes in a circuit
NEXT STEPS
  • Study the principles of nodal analysis in depth
  • Learn how to apply Kirchhoff's Current Law in circuit analysis
  • Explore examples of circuit problems involving multiple nodes
  • Practice identifying nodes and writing nodal equations for various circuits
USEFUL FOR

Electrical engineering students, circuit designers, and anyone looking to enhance their understanding of circuit analysis techniques.

J.live
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Homework Statement



Find V1 and i1 using nodal analysis


The Attempt at a Solution



I know i1 is 0 because of a circuit break.

But, I am not able to figure out how many nodes there are in this circuit?

I thought there are four nodes connected to the reference point but the book only considers two.

Or is it because we are only looking for V1 so we ignore the other nodes?
 

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There is only two nodes, and no nodes are being ignored.

A node is not always just a "point" connecting two circuit parts. It is any part of a circuit that connects two OR MORE circuit elements.

Therefore, Node 1 is the wire that the 3 ohms, 2 A, and 1 ohm elements share at the top left.

Node 2 is the wire that the 1 ohm, both of the 6 ohms, 4 A, and the 2 ohms elements share at the top right.
 

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