Circuit Analysis Question from YouTube

[DigilentStudio]

The following question was asked on our YouTube channel on our Real Analog course:

Christopher Hendon asks: Can you explain how you found 1/3 and 2/3?

Thank you for your help!

[rp-prew]

Dear Christopher,

In this video the instructor just skipped some steps to get to an answer faster. The instructor used a voltage divider equation to get the 1/3 and 2/3 values that he used. I have provided a solution of how he found the 1/3 value of his first superposition step. I just used a simple circuit analysis to solve for this to prove that the value of 1/3 of the source voltage makes sense. If you look below you can see my calculations for the first part. I will leave the second part of the superposition problem for you to solve. I hope this helped. If you have any more questions feel free to ask.

Best Regards,

Bobby

[rp-prew]

[chendon]

Thanks for the response.  I can see how you arrived at the solution you provided but am curious as to why he skipped so many steps.  Is there a trick or was the solution worked out ahead of time?

[JColvin]

Hi chendon,

I think Dr. Hanshaw worked it out ahead of time. Plus since this was just a lab video as opposed to one of the lecture videos, he presumed that people (in order to save time for each lecture) had watched his previous lectures and knew that he had worked it out via some sort of circuit analysis.

Thanks,
JColvin