Thevenin equivalent circuit problem

In summary, the Thevenin equivalent circuit problem is a method used to simplify complex electrical circuits into a single voltage source and series resistance. It is commonly used in analyzing and designing circuits, particularly when determining the behavior at a specific load. The problem is solved by simplifying the original circuit, calculating the Thevenin voltage and equivalent resistance, and combining them to create the equivalent circuit. This method has benefits such as easier circuit analysis and design, but it also has limitations such as assuming linearity, passivity, and steady-state. It may not accurately model the behavior of non-linear components.
  • #1
leopard
125
0
4npcp.jpg


I start with the Thevenin equivalent.

2agnsqw.jpg


[tex]\hat{R} = R_2 + R_4 || R_1 = 6 \Omega[/tex]
[tex]R_{Th} = R_3 + \hat{R} || R_5 = 8 \Omega[/tex]

The correct answer here should be [tex]2 \Omega[/tex]
 
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  • #2
From what I remember of this stuff, I agree with your answer of 8ohm. At any rate, surely it cannot be any less than R3, can it? Are you sure you are comparing to the appropriate answer?
 
  • #3
8ohms look right to me as well.
 

1. What is the Thevenin equivalent circuit problem?

The Thevenin equivalent circuit problem is a method used to simplify complex electrical circuits into a single voltage source and series resistance. This simplified circuit is equivalent to the original circuit in terms of voltage and current at a specific load.

2. When is the Thevenin equivalent circuit problem used?

The Thevenin equivalent circuit problem is used to analyze and design circuits that contain multiple resistors, capacitors, and inductors. It is particularly useful when determining the behavior of a circuit at a specific load.

3. How is the Thevenin equivalent circuit problem solved?

To solve the Thevenin equivalent circuit problem, the original circuit is first simplified by removing the load. Then, the voltage at the load terminals is calculated, which is equal to the Thevenin voltage. Next, the load is reconnected and the equivalent resistance is calculated by shorting all voltage sources and open-circuiting all current sources. The final step is to combine the Thevenin voltage and equivalent resistance to create the Thevenin equivalent circuit.

4. What are the benefits of using the Thevenin equivalent circuit problem?

The Thevenin equivalent circuit problem allows for easier analysis of complex circuits by reducing them to a simpler form. It also makes it easier to determine the effects of different loads on the circuit and can simplify the design process for engineers.

5. Are there any limitations to the Thevenin equivalent circuit problem?

The Thevenin equivalent circuit problem assumes that the circuit is linear and that all components are passive. It also assumes that the circuit is at steady-state. Additionally, it may not accurately model the behavior of certain non-linear components, such as diodes or transistors. Therefore, the Thevenin equivalent circuit should be used with caution and its limitations should be considered when analyzing a circuit.

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