Nodal Analysis Help, 1 equation 2 unknowns

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Discussion Overview

The discussion revolves around the application of nodal analysis in electrical circuits, specifically focusing on deriving equations involving voltage and current at a node with two unknowns. Participants are exploring the relationships between voltages and currents in the context of a specific circuit configuration.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant states their KCL equation for node V1 and expresses uncertainty about finding an equation for current (I) in terms of voltage (V3).
  • Another participant suggests assuming the potential at V3 is V3 and questions the current through the 12Ω resistor.
  • A later reply confirms the expression for current through the 12Ω resistor as I=V3/12 but notes the importance of considering the sign.

Areas of Agreement / Disagreement

Participants are engaged in a technical discussion with no clear consensus reached on the correct approach or the implications of the signs in their equations.

Contextual Notes

There are potential limitations regarding the assumptions made about the ground reference and the definitions of voltage and current in the circuit, which may affect the derived equations.

eatsleep
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1.
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2. V=IR, Nodal analysis



3. Based on where I have drawn my ground, V2=-10V, V1=3I. From this I should just have 1 equation with 1 unknown (if I have done this correct). My KCL equation for node V1 is (V3+10)/8 + (V3-3I)/2 + V3/12. I am stuck, I need to find an equation for I in terms of V3.
 
Last edited:
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If you assume the potential at v3 is, well, v3, then what's the current through the 12Ω resistor?
 
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gneill said:
If you assume the potential at v3 is, well, v3, then what's the current through the 12Ω resistor?

Oh wow, I=V3/12
 
eatsleep said:
Oh wow, I=V3/12

Watch the sign...
 

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