Calculating e3 using Node Equations: Solving for e3 in a Circuit System

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SUMMARY

The discussion focuses on calculating the voltage e3 in a circuit system using node equations. The equation derived is (e3 - (-V) - e2)G1 + (e3 - e2)G2 + I = 0, leading to the simplified equation 8e3 = -70. The final calculated value for e3 is -8.75. This method effectively demonstrates the application of node voltage analysis in circuit theory.

PREREQUISITES
  • Understanding of node voltage analysis in electrical circuits
  • Familiarity with circuit components and their conductance (G1, G2)
  • Basic algebraic manipulation of equations
  • Knowledge of circuit theory and Ohm's law
NEXT STEPS
  • Study advanced node voltage analysis techniques
  • Learn about circuit simulation tools like LTspice
  • Explore the implications of negative voltage in circuit design
  • Investigate the impact of varying conductance values on circuit behavior
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing and solving circuit equations using node voltage methods.

wilsonb
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Homework Statement


I approached this by doing the node equation of e3:

(e3-(-V)-e2)G1 + (e3-e2)G2 + I = 0




Homework Equations


which gives:

e3/3 + 5/3 + e3/5 + 3 = 0

multiply out the fractions

5e3 + 25 + 3e3 + 45 = 0



The Attempt at a Solution



so:

8e3 = -70

giving e3 = -8.75
 
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wilsonb said:

Homework Statement


I approached this by doing the node equation of e3:

Approached what? There's no problem statement.
 

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