Thevenin and norton theorem question

In summary, the reason why the equivalent resistance is taken in series to the load resistor in Thevenin theorem and parallel to the load resistor in Norton theorem is because it is necessary for the theorems to be proven. If the equivalent resistance and current source were placed differently, the theorem would not hold true. This is why it is important to have a general understanding of the theorems and their definitions.
  • #1
rajeshmarndi
319
0
Why in thevenin theorem, we take the equivalent resistance in series to the load resistor, while in norton theorem we take the equivalent resistance parallel to the load resistor.

Thanks.
 
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  • #2
Because that is what works.
Note: you can take the equivalents without having a load resistor ... think you may benefit from looking up a more general description.
 
  • #3
yes because that is what it has to be in order to prove the theorems, in order for the theorems to be true. Because if for example you take in norton theorem the "equivalent" resistance in series with the "equivalent" current source and the load resistor, then you just can't prove the theorem. Which means that the supposed "equivalent" resistance and current source (as defined by the theorem) are no longer equivalent i.e the current and the voltage in the load resistor will not be the same with the "equivalent" components in series as they would be if you had the actual circuit.
 
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1. What is Thevenin's Theorem and how does it work?

Thevenin's Theorem is a fundamental concept in electrical circuit analysis. It states that any linear electrical network with voltage and current sources can be replaced by an equivalent circuit consisting of a single voltage source in series with a single resistor. This allows for simpler analysis and calculation of circuit behavior.

2. How do I find the Thevenin equivalent circuit?

To find the Thevenin equivalent circuit, you need to follow these steps:

  • Remove the load resistor from the original circuit.
  • Calculate the open-circuit voltage across the load terminals. This is the Thevenin voltage (VTH).
  • Calculate the equivalent resistance seen from the load terminals. This is the Thevenin resistance (RTH).
  • Draw the Thevenin equivalent circuit with VTH as the voltage source and RTH as the resistor in series.

3. What is Norton's Theorem and how does it differ from Thevenin's Theorem?

Norton's Theorem is another fundamental concept in electrical circuit analysis. It states that any linear electrical network with voltage and current sources can be replaced by an equivalent circuit consisting of a single current source in parallel with a single resistor. The main difference from Thevenin's Theorem is that the equivalent circuit is in terms of a current source rather than a voltage source.

4. How do I convert between Thevenin and Norton equivalent circuits?

To convert from Thevenin to Norton, you can use the following formula:

IN = VTH / RTH

Where IN is the Norton current source, VTH is the Thevenin voltage, and RTH is the Thevenin resistance.

To convert from Norton to Thevenin, you can use the following formula:

VTH = IN * RTH

Where VTH is the Thevenin voltage, IN is the Norton current source, and RTH is the Norton resistance.

5. What are the limitations of Thevenin and Norton equivalent circuits?

Thevenin and Norton equivalent circuits are only applicable to linear circuits. They also assume that the circuit is in a steady-state condition and that all components are operating within their linear range. Additionally, they do not take into account the effects of temperature and do not consider the internal resistance of voltage and current sources. These limitations may affect the accuracy of the analysis and calculation of circuit behavior.

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