Problem involving Source Transformation and Nodal Analysis

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Discussion Overview

The discussion revolves around a homework problem involving source transformation and nodal analysis in electrical circuits. Participants are attempting to solve a specific part of the problem related to transforming a voltage source into a current source and calculating the resulting current.

Discussion Character

  • Homework-related
  • Technical explanation
  • Exploratory

Main Points Raised

  • A participant expresses uncertainty about their attempt to transform a voltage source into a current source and questions how to proceed with the calculations.
  • Another participant suggests that all three solutions presented are correct, indicating a potential for multiple valid approaches.
  • There is a reiteration of the need to find the current through the equivalent resistor formed by three resistors in parallel to determine the voltage across them.
  • A participant calculates the total resistance of the three resistors in parallel as 1 ohm and derives a current of -1 A flowing into the resistors, leading to a voltage of -1 V and a resulting current of -0.5 A through the transformed source.

Areas of Agreement / Disagreement

Participants express differing views on the correctness of the solutions, with some asserting that multiple solutions are valid. The discussion remains unresolved regarding the specific steps needed for the source transformation and the calculations involved.

Contextual Notes

Participants have not fully resolved the assumptions related to the source transformation process, and there are indications of missing steps in the calculations that could affect the final results.

Weaver
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Homework Statement


question.jpg


Homework Equations

The Attempt at a Solution


I have attempted and completed all questions. However, I am now trying part (b) with transforming the voltage source into a current source. I am unable to work out the current and I am unsure what to do next.

I have included my workings

I believe the answer should be -0.5 A

I appreciate any help. Thanks!

Attempt at part (b):
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Completed Solution:
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In my opinion, all three solutions are correct.
 
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Babadag said:
In my opinion, all three solutions are correct.

Thanks for checking my solution. I really appreciate it.

However, what about my attempt at the source transformation of the voltage source? I haven't completed that part and I am unsure what to do. Any advice?
 
Conor_B said:
Thanks for checking my solution. I really appreciate it.

However, what about my attempt at the source transformation of the voltage source? I haven't completed that part and I am unsure what to do. Any advice?
You have 3 resistors in parallel. Find the current through that equivalent "resistor", which will give you the voltage across that resistance.
 
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upload_2017-11-10_11-59-32.png
Source transformation is o.k.
 

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scottdave said:
You have 3 resistors in parallel. Find the current through that equivalent "resistor", which will give you the voltage across that resistance.

Thanks Scott! That's makes sense
  • The total resistance of the three resistors in parallel is 1 ohm.
  • The resulting current flowing into the resistors is -1 A.
  • The voltage across the three resistors is then -1V
  • And I = -V/2 = -1/2 = -0.5 A
 
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