Thevenin's Theorem - Dependent Source + Resistor

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SUMMARY

The discussion centers on applying Thevenin's Theorem to a circuit with a dependent source and resistor. The user and their professor arrived at different results for the short-circuit current (Isc) at terminals A-B, with the professor calculating Isc as 3Ix, leading to a Thevenin equivalent resistance of 333 ohms, while the user calculated Isc as (5/2)Ix, resulting in 400 ohms. The discrepancy arises from the interpretation of the currents at Node 2 using Kirchhoff's Current Law (KCL). Clarifying the application of KCL in this context is essential for resolving the difference in outcomes.

PREREQUISITES
  • Understanding of Thevenin's Theorem
  • Proficiency in Kirchhoff's Current Law (KCL)
  • Familiarity with dependent sources in electrical circuits
  • Basic circuit analysis techniques
NEXT STEPS
  • Review Thevenin's Theorem applications with dependent sources
  • Study advanced KCL techniques in circuit analysis
  • Explore examples of calculating short-circuit currents in complex circuits
  • Learn about the impact of dependent sources on circuit behavior
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Electrical engineering students, circuit designers, and anyone studying circuit analysis who seeks to deepen their understanding of Thevenin's Theorem and its application to circuits with dependent sources.

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Hey,

I'm having a bit of difficulty with this one. I spoke to my professor specifically about this problem, he worked through it, I understood him, and I worked through it later in the day. I still get it, I worked through it, and there's step at the end that we both did differently. It seems like a simple KCL thing, but here's the problem:

Find the Thevenin equivalent of the network in the figure at the terminals A-B.
http://synthdriven.com/images/deletable/EEN201-06.jpg This is what I did:
http://synthdriven.com/images/deletable/EEN201-07.jpg

Now, what we did differently was what I circled as step six. Focusing on Node 2. It was finding the incoming current from point A. I just used KCL because I had the two other currents, and that's what it looks like my professor did.

However, he somehow gets 3Ix as an answer for Isc, which would give him a final answer of 333ohms.

What exactly did he do? Or is he the one making the error??

I get (5/2)Ix for Isc, which gives me 400ohms as a final answer.Thanks!
 
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Your solution looks good to me.
 

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