Validity of interconnection in electric circuit

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Discussion Overview

The discussion revolves around the validity of interconnections in an electric circuit, focusing on the relationships between current and voltage sources, and the implications for circuit analysis. Participants explore concepts related to series and parallel configurations, as well as the behavior of dependent and independent sources.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that the dependent current source (4i1) leads directly to i1, questioning the validity of the interconnection.
  • Another participant inquires about the total current being pushed downwards by the independent current sources.
  • A later reply calculates that the total current towards the lower node is 240mA, leading to a conclusion that i1 equals 60mA, which may imply the interconnection is valid.
  • Further, a participant raises a question about the behavior of voltage sources in the circuit, specifically whether they are valid given their directions and magnitudes.
  • Another participant states that according to Kirchhoff's Voltage Law (KVL), the net voltage at the top node should equal zero, but notes that the voltages do not cancel out due to differing magnitudes.
  • One participant explains that current sources adjust their terminal voltage as needed to maintain their designated current through the circuit.

Areas of Agreement / Disagreement

Participants express uncertainty about the validity of the circuit interconnections, with some suggesting it may be valid while others question the implications of the voltage sources and the behavior of the dependent current source. The discussion remains unresolved regarding the overall validity of the circuit.

Contextual Notes

Participants reference specific circuit configurations and the behavior of sources, but there is a lack of consensus on the definitions and implications of these configurations. The discussion includes assumptions about the relationships between current and voltage that may not be fully articulated.

Emilio
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Homework Statement


79Cs3YG.png


Homework Equations


P=Vi

The Attempt at a Solution


For part a, it looks like the dependent current source (4i1) leads directly to i1, with nothing that could change it. This would mean the interconnection is invalid, right? I can't tell if this circuit is in series or in parallel (is it both?), but I know independent voltage sources can't be parallel, and independent current sources can't be in series. I don't know which one would apply here though.

If the circuit is invalid, then I'm not sure how to find the total energy developed, but I guess it would be P=Vi at each node.
 

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There are 2 independent current sources, together pushing how much current downwards to the lower node?
 
Ah, so they push 240mA towards the lower node, with 4i1 leaving the node. And that would make i1=60mA.

So then lower node = 0 = 180mA+60mA-4i1 = 180mA+60mA-4(60mA), which means it;s valid?
 
Next, address the voltage sources. Do they look okay here?
 
At the top node, according to KVL, the net voltage should be 0=v1+v2. But here, the voltages are in the same direction, and are of different magnitudes so they don't cancel out. Does the dependent current source generate voltage as well? I thought it just changed the current.
 
Current sources adjust their terminal voltage to whatever is needed in order to force their designated current through the circuit.
 

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