Thevenin Equivalent: HW Problem Solution Check

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SUMMARY

The discussion centers on solving a homework problem involving the Thevenin equivalent circuit, specifically identifying points A and B across a 10k resistor. Participants confirm that nodal analysis is correctly applied to nodes V_A and V_AB, but raise concerns about the removal of the 10k resistor and the calculation of V_{Th}. It is established that V_{Th} should be calculated as V_{AB} - V_A, rather than equating V_{AB} directly to V_{Th}. The importance of retaining the load resistor in the analysis is also emphasized.

PREREQUISITES
  • Understanding of Thevenin's theorem
  • Familiarity with nodal analysis techniques
  • Knowledge of circuit components, specifically resistors and their configurations
  • Ability to manipulate electrical units (e.g., converting mA to A, kohms to ohms)
NEXT STEPS
  • Study Thevenin's theorem applications in circuit analysis
  • Learn advanced nodal analysis techniques for complex circuits
  • Research the impact of load resistors on Thevenin equivalent circuits
  • Explore common mistakes in calculating Thevenin voltage and resistance
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing or teaching Thevenin equivalent circuits.

mugzieee
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i have an attempted solution to a HW problem, and I want to know if it is right or wrong. Could you guys please help me out. I have attached the image as a pdf
 

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Before you can actually start solving the problem, you will need to identify firstly the two points A and B for which the Thevenin equivalent circuit is defined. So where are these points upon which you want to find the Thevenin equivalent circuit? Across the 10k resistor?
 
doodle said:
Before you can actually start solving the problem, you will need to identify firstly the two points A and B for which the Thevenin equivalent circuit is defined. So where are these points upon which you want to find the Thevenin equivalent circuit? Across the 10k resistor?
if you look at the second circuit i have labeled the two nodes V_A and V_AB, those are the two nodes in which i am going to do nodal analysis in.
 
I didn't calculate the Vth, but your work nodal analysis looks correct to me. On a side note, you didn't really need to convert the mA to A or the kohms to ohms. The prefixes will cancel giving you V during the calculations. Now find Rth to complete the problem.
 
teknodude said:
I didn't calculate the Vth, but your work nodal analysis looks correct to me. On a side note, you didn't really need to convert the mA to A or the kohms to ohms. The prefixes will cancel giving you V during the calculations. Now find Rth to complete the problem.
GREAT! thanks teknodude!
 
mugzieee said:
if you look at the second circuit i have labeled the two nodes V_A and V_AB, those are the two nodes in which i am going to do nodal analysis in.

I have a few concerns.

1. Why remove the 10k resistor? Shouldn't the load resistor (if there should be one) be lying between the two points where the Thevenin equivalent circuit is defined?

2. I don't think V_{AB} = V_{Th} as you have written in the solution. If the Thevenin equivalent circuit is to be determined across nodes AB and A, then V_{Th} = V_{AB} - V_A.
 
doodle said:
I have a few concerns.

1. Why remove the 10k resistor? Shouldn't the load resistor (if there should be one) be lying between the two points where the Thevenin equivalent circuit is defined?

2. I don't think V_{AB} = V_{Th} as you have written in the solution. If the Thevenin equivalent circuit is to be determined across nodes AB and A, then V_{Th} = V_{AB} - V_A.

you may be right about the load resistor lying between the two points. But even if i don't remove the load resistor, and use the same technique to find V_AB, then id still have the same equations because there would still be no current through the 10k resistor.
 
That's true. But you should let the 10k resistor be and V_{Th} should be as I stated above.
 

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