Thevenin Equivalent Circuit

In summary, the conversation discusses finding the Thevenin Equivalent Circuit for a given circuit using KVL and KCL. The individual explains their attempt at solving the problem and asks for assistance in identifying any mistakes made. They also mention using the same method successfully in other circuits.
  • #1
Phillipe
10
0

Homework Statement



Find the Thevening Equivalent Circuit for the following circuit:

1z4y6g4.png


Homework Equations



KVL, KCL.

The Attempt at a Solution



First of all, I calculate the current in the middle mesh, which I'll call i2:

[tex] - j25 = ({i_2} - {i_1})(3 + j4) + {i_2}(10)[/tex]

where i1 is the current defined by the current source. Once I've got i2, I multiply that by 10 to get the voltage in the 10 ohm resistor, and after that I calculate Vab using:

[tex]{V_{ab}} = j25 - 10({i_2})[/tex]

However, the result is incorrect (should be 22,2 V with a 98º angle). What am I doing wrong? I've used the same method with other circuits and it worked just fine.
 
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  • #2
You'll have to show your work. Using your technique I reached the correct result.
 

1. What is a Thevenin equivalent circuit?

A Thevenin equivalent circuit is a simplified circuit that represents a more complex circuit. It consists of a voltage source in series with a resistance, which together can replace the original circuit while maintaining the same voltage and current relationship.

2. When is a Thevenin equivalent circuit used?

A Thevenin equivalent circuit is used when analyzing or designing circuits, as it makes it easier to calculate voltage, current, and power in a circuit. It is also commonly used in circuit analysis and troubleshooting.

3. How is a Thevenin equivalent circuit calculated?

A Thevenin equivalent circuit is calculated by first finding the open-circuit voltage (Voc) and the short-circuit current (Isc) of the original circuit. Then, the Thevenin voltage (Vth) is equal to Voc, and the Thevenin resistance (Rth) is equal to Voc/Isc.

4. What are the advantages of using a Thevenin equivalent circuit?

One advantage of using a Thevenin equivalent circuit is that it simplifies complex circuits, making them easier to analyze. It also allows for easier calculations of voltage, current, and power in a circuit. Additionally, it can be used to determine the maximum power transfer and the effect of load changes on a circuit.

5. Are there any limitations to using a Thevenin equivalent circuit?

Yes, there are limitations to using a Thevenin equivalent circuit. It assumes that the circuit is linear and that the components are passive. It also does not take into account the non-linear characteristics of some components, such as diodes and transistors. Additionally, it may not accurately represent a circuit with varying operating conditions or at high frequencies.

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