Norton and Thevenin equivalents disagreement?

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In summary, the Norton and Thevenin equivalents are two methods used to simplify complex circuits. The Norton equivalent uses a current source and resistor in parallel, while the Thevenin equivalent uses a voltage source and resistor in series. These methods can sometimes disagree due to different assumptions and limitations. Neither method is more accurate than the other, and the choice depends on the specific circuit and analysis being performed. They cannot be used interchangeably and it is important to choose the appropriate method based on the circuit and desired analysis.
  • #1
lillybeans
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When I solve for Isc through a and b using Norton and Thevenin equivalents between c and d I get different results. Why is that?

Norton =0.5mA
Thevenin =2mA
 
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In the third diagram, the source you've labelled as Vx is not the same as VCD. It's VCD which is the reference voltage for the controlled voltage source.
 
  • #3
gneill said:
In the third diagram, the source you've labelled as Vx is not the same as VCD. It's VCD which is the reference voltage for the controlled voltage source.

Thank you so much! So that's where I went wrong...
 

1. What is the difference between Norton and Thevenin equivalents?

The Norton and Thevenin equivalents are two different methods used to simplify complex circuits into simpler equivalent circuits. The main difference is that the Norton equivalent uses a current source in parallel with a resistor, while the Thevenin equivalent uses a voltage source in series with a resistor.

2. Why do Norton and Thevenin equivalents sometimes disagree?

Norton and Thevenin equivalents can sometimes disagree due to the assumptions and limitations of each method. The Norton equivalent assumes that the load resistance is known, while the Thevenin equivalent assumes that the load is unknown. Therefore, when the load resistance changes, the two methods can give different results.

3. Which method is more accurate, Norton or Thevenin equivalent?

Neither method is more accurate than the other. They are simply two different ways to simplify complex circuits. The choice between Norton and Thevenin equivalents depends on the specific application and the type of analysis being performed.

4. How can I determine which method to use, Norton or Thevenin equivalent?

The choice between Norton and Thevenin equivalents depends on the specific circuit and the desired analysis. If the load resistance is known and the current through the circuit is of interest, then the Norton equivalent may be more suitable. If the load resistance is unknown and the voltage across the circuit is of interest, then the Thevenin equivalent may be more appropriate.

5. Can Norton and Thevenin equivalents be used interchangeably?

No, Norton and Thevenin equivalents cannot be used interchangeably. They are two distinct methods for circuit simplification and have different assumptions and limitations. It is important to carefully choose which method to use based on the specific circuit and analysis being performed.

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