What is the Thevenin equivalent circuit?

In summary, the conversation discusses the process of obtaining a Thevenin equivalent circuit and the confusion surrounding the number of nodes and the placement of resistors. It is clarified that the open circuit voltage is between V1 and Vb and the expression for v(th) is derived from the voltage divider rule. The conversation also touches on the relevance of Vbe in polarizing the transistor.
  • #1
Defennder
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Homework Statement


I really don't see how the Thevenin equivalent circuit is obtained from the one on the left. The way learned to find Thevenin equivalent circuit considers the circuit network in between 2 nodes. This one appears to have 3 nodes. And why is the thevenin resistance given as though the resistance were connected in parallel? I don't see why they are in parallel.


2. Homework Equations /pictures
Thevenin equivalence.
http://img380.imageshack.us/img380/5082/theveninequivalentvm4.jpg
 
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  • #2
To obtain the open circuit voltage you use a voltage divider with the 10V source and the two resistors, getting 3.33V.

For the equivalent resistance you short circuit the source, so the two resistors are in parallel (the upper terminal of R1 is connected to ground).
 
  • #3
Changed image

Yeah, thanks, I think I can see it for the Thevenin resistance. I assume that the above gray box is also equivalent to this:

http://img508.imageshack.us/img508/8425/thevenincircuitwi3.jpg

But the open circuit voltage is between V1 and Vb or V2 and Vb?
 
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  • #4
for this circuit there is an expression to calculate v(th)& R(th) which is:
R(th)=R1//R2
v(th)=R(th)[(v1/R1)+(v2/R2)]
where v1=10v,v2=0v
// means parallel
 
  • #5
Where did you get that expression for v(th) from? And more importantly is the open-circuit voltage between V1 and Vb or V2 and Vb? That's all I need to be able to figure out the thevenin voltage.
 
  • #6
v(th) comes from the Voltage divider rule.

v(th) is measured between vb and v2.
 
  • #7
But why isn't it measured between V1 and Vb?
 
  • #8
Defennder said:
But why isn't it measured between V1 and Vb?

Because V2 is ground and you want to polarize the transistor, so you are really interested in the voltage between base and emitter: Vbe = Vb - Ve.
 
  • #9
Oh yeah you're right. It's the voltage across the Vbe that's relevant here. Thanks a lot!
 

1. What is a Thevenin equivalent circuit?

A Thevenin equivalent circuit is a simplified representation of a complex circuit, consisting of a single voltage source and a single resistance connected in series. It is used to analyze the behavior of a circuit and determine its output voltage and current.

2. How is a Thevenin equivalent circuit calculated?

To calculate the Thevenin equivalent circuit, the original circuit is simplified down to a single voltage source and a single resistance. The voltage source is determined by calculating the open-circuit voltage at the load terminals, and the resistance is calculated by finding the equivalent resistance of the circuit when all independent sources are turned off.

3. When is a Thevenin equivalent circuit used?

Thevenin equivalent circuits are commonly used in circuit analysis and design to simplify complex circuits and make calculations easier. They are also used in circuit simulation software to model and predict the behavior of a circuit.

4. What are the limitations of a Thevenin equivalent circuit?

A Thevenin equivalent circuit is only valid for linear, passive circuits. It also assumes that the circuit is in a steady state, meaning all transient effects have been accounted for. Additionally, it does not take into account the frequency-dependent behavior of components such as capacitors and inductors.

5. How is a Thevenin equivalent circuit used in practical applications?

Thevenin equivalent circuits are used in practical applications to simplify circuit design and analysis. They can also be used to determine the maximum power transfer from a source to a load, which is important in power systems. In addition, they are used in circuit protection devices to model the behavior of a circuit under different fault conditions.

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