Converting to a circuit's Thevenin equivalent?

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Discussion Overview

The discussion revolves around finding the Thevenin equivalent of a circuit, including both Thevenin and Norton equivalents. Participants explore various methods of circuit analysis, including source conversions and combining resistances. The context is primarily homework-related, focusing on problem-solving techniques in circuit theory.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant claims to have found the Thevenin resistance to be 185/47 ohms and discusses their approach to finding the Norton equivalent.
  • Another participant asks for specific values of current (I) and resistance (R), which are later provided as I = 2.5A and R = 4.5 ohms.
  • Hints are offered regarding the process of working from left to right in the circuit to combine sources and resistances.
  • A participant describes their method of converting a current source and resistor into a voltage source and combining them, but expresses confusion over the results provided by their webwork page.
  • There is a realization that the problem specifically asks for the voltage from terminal a to b, leading to a calculated value of -605/94, which is noted as incorrect by the program.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correctness of the calculated values or the methods used, as there are multiple approaches and some confusion remains regarding the expected outcomes.

Contextual Notes

There are unresolved issues regarding the interpretation of the problem statement and the specific calculations performed, which may depend on the definitions and assumptions made during the analysis.

Jayalk97
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Homework Statement


9e394656-9726-3863-a477-3e151818d431___18b248a0-12e1-3001-8982-625d7321b1c6.png


Homework Equations


Finding the Thevenin equivalent?

The Attempt at a Solution


I found the thevenin resistance to be 185/47 ohms, which came out to be correct.

I've been struggling with this question all day. I ended up attempting to find the norton equivalent and then converting it, since the question asks for both anyways. I started with a source conversion on the 3A and 5ohm current source and resistor, turning it into a 15V voltage source and a 5 ohm resistor in series (going into the b terminal). I shorted the a-b terminal and used KVL to find the current going through as 3A, typed that into my webwork page and it said I was wrong. Is there anything I'm missing here?
 
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Are you given values for ##I## and ##R## ?
 
Oh yeah sorry, I = 2.5A and R = 4.5ohms
 
gneill said:
Are you given values for ##I## and ##R## ?
On that note actually, these problems look fairly straightforward and I'm afraid that I misunderstand something fundamental about circuits...
 
Jayalk97 said:
Oh yeah sorry, I = 2.5A and R = 4.5ohms
Okay.

Hint: Work from left to right towards the output, converting and combining sources and resistances as you go.
 
gneill said:
Okay.

Hint: Work from left to right towards the output, converting and combining sources and resistances as you go.
If I have a voltage source>resistor>voltage source>resistor in series could I just rearrange and combine them? If so I converted the leftmost current source and resistor to a voltage source in series with it, combined the 2 resistors and voltage sources to get 25.25V and 18.5 ohms. I converted those to a current source in parallel with a resistor to get 101/74A and 18.5ohms. Adding those to the current source in parallel with the resistor on the right I get 121/74A (pointing down) with 185/47ohms, giving me a voltage difference of 605/94 but the program says that is incorrect...
 
gneill said:
Okay.

Hint: Work from left to right towards the output, converting and combining sources and resistances as you go.
Oh my god it explicitly wanted the voltage from a to b, and that is -605/94. I've been trying to figure this out for four hours... Thank you for the help haha.
 
Jayalk97 said:
Oh my god it explicitly wanted the voltage from a to b, and that is -605/94. I've been trying to figure this out for four hours... Thank you for the help haha.
:smile:
Glad to help!
 

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