How to Use Nodal Analysis for Circuit Analysis?

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Discussion Overview

The discussion revolves around the application of nodal analysis in circuit analysis, specifically addressing a homework problem involving voltage calculations in a circuit. Participants share their attempts at solving the problem and seek validation of their results.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant initially claims to have calculated a voltage of 3V but questions its correctness.
  • Another participant asserts that the 3V result is incorrect and requests the first participant to show their work for further assistance.
  • A participant points out a potential discrepancy in the formulas used, suggesting that V2 should equal V1 plus 18V based on the circuit diagram.
  • After acknowledging the correction, the participant recalculates and proposes new voltage values: V2 = 4.5V, V1 = -13.5V, V3 = 11.25V.
  • Another participant confirms that the recalculated answer of 11.25V is correct.
  • A final participant expresses gratitude for the assistance received during the discussion.

Areas of Agreement / Disagreement

The discussion shows some disagreement regarding the initial voltage calculation, but later contributions indicate a resolution with the corrected values. However, the initial uncertainty about the correctness of the first calculation remains unresolved.

Contextual Notes

Limitations include potential misunderstandings of the circuit diagram and the need for clarity in the formulas used, which may depend on specific definitions or assumptions not fully articulated in the discussion.

naivy
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Homework Statement



uKyms.png


Homework Equations



nodal analysis

The Attempt at a Solution



When i did the problem, i got 3V. Is this right or wrong?
 
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naivy said:
When i did the problem, i got 3V. Is this right or wrong?

It is incorrect.

Show your work if you want help.
 
TIy8n.jpg
 
Your formula (1) doesn't seem to match the circuit diagram. Shouldn't V2 = V1 + 18V?
 
gneill said:
Your formula (1) doesn't seem to match the circuit diagram. Shouldn't V2 = V1 + 18V?

Ah, you're right. Thanks.

If that's corrected and propagated down... I get

V2 = 4.5V, V1 = -13.5V, V3 = 11.25V

So the answer is 11.25V?
 
Looks much better! That's it!
 
Thanks! I really appreciate it.
 

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