Circuit Nodal voltage question out thanks

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Homework Help Overview

The discussion revolves around a circuit nodal voltage problem, specifically focusing on applying Kirchhoff's Current Law (KCL) to derive node voltage equations for two nodes, V1 and V2, in a given circuit diagram. The original poster seeks assistance in simplifying the equations without solving them.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to formulate KCL equations for both nodes, expressing uncertainty about the accuracy of their equations, particularly for node 2. Participants question the definitions and setup, with one seeking clarification on the inclusion of a missing resistor.

Discussion Status

Participants are actively engaging in clarifying the equations and definitions related to KCL. Some guidance has been offered regarding the correction of the node 2 equation, and there is an ongoing exploration of the implications of the missing resistor.

Contextual Notes

There is a mention of specific homework constraints, indicating that the task is to simplify the equations rather than solve them. The discussion also highlights a potential misunderstanding regarding the circuit components involved.

engineer_dave
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Circuit Nodal voltage question...please help out thanks!

Homework Statement


The question is as follows:

Start with KCL for the nodes and write the node voltage equations for the nodes V1 and v2 in the circuit (diagram is attached to this post). They do not want me to solve the equations but just simplify to gather the coefficents.


Homework Equations



KCL

The Attempt at a Solution



I marked node one where v1 is. So for node 1 it would be (v1- 30)/10 + (v1-v2)/8 + v1/6=0

I marked node 2 where v2 is. So for node 2 it would be (v2- v1)/8 + (v2+20)/4=0

Still, I am not that sure about my node 2 equations although my node 1 may be correct. Please help! THanks!
 

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What does KCL mean ?
node 2 is wrong, you forgot 2 Ohms resistor.
 
Can u please elaborate and write down the node 2 equation. Thanks
 
what would be the thing for the 2 ohm resistor then?
 
(v2- v1)/8 + (v2+20)/4 + v2/2 =0

you didnt answer me:
What does KCL mean ?
 
Kirchoffs law I suppose
 

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