Problem involving Source Transformation and Nodal Analysis

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
5 replies · 3K views
Weaver
Messages
70
Reaction score
6

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):
DocFile (5).jpg




Completed Solution:
DocFile (1).jpg
DocFile (2).jpg
DocFile (3).jpg
DocFile (4).jpg
 

Attachments

  • question.jpg
    question.jpg
    14.2 KB · Views: 1,655
  • DocFile (1).jpg
    DocFile (1).jpg
    31.3 KB · Views: 784
  • DocFile (2).jpg
    DocFile (2).jpg
    23.4 KB · Views: 825
  • DocFile (3).jpg
    DocFile (3).jpg
    23.2 KB · Views: 743
  • DocFile (4).jpg
    DocFile (4).jpg
    27.3 KB · Views: 789
  • DocFile (5).jpg
    DocFile (5).jpg
    27.1 KB · Views: 835
on Phys.org
In my opinion, all three solutions are correct.
 
  • Like
Likes   Reactions: scottdave
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.
 
  • Like
Likes   Reactions: Weaver
upload_2017-11-10_11-59-32.png
Source transformation is o.k.
 

Attachments

  • upload_2017-11-10_11-59-32.png
    upload_2017-11-10_11-59-32.png
    24.4 KB · Views: 556
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
 
  • Like
Likes   Reactions: scottdave