Thevenin Equivalent with dependent source

In summary, the conversation discusses the difficulty in finding the Thevenin equivalent for a circuit with two dependent sources and no independent source. The speaker mentions using a 1V source across the terminals to determine the equivalent resistance of the circuit. They also label the currents through the resistors as i1 and i2. Finally, there is a mention of possibly deleting the thread.
  • #1
jess_88
7
0
hi :smile:

I'm having some trouble figuring out the Thevenin equivalent for this circuit.

sYa8L.jpg


As you can see, there are two dependent sources (current dependent current source & voltage dependent voltage source) and no independent source.

I have started trying to analyse the circuit by inserting a 1V source across the terminals "a" and "b".

With the 1 volt input across terminals "a" and "b", I have tried to determine the current entering the circuit to allow for determining the equivalent resistance of the circuit (Rth = 1V/Ix).

labelling the current through the 10 ohm resister i1 and the current though the 40 ohm resister i2.

GcFv9.png
Thanks guys :smile:
 
Last edited:
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  • #2
I got it.
dont worry about this one.
... should I delete the thread?
if so, how?
 
Last edited:

FAQ: Thevenin Equivalent with dependent source

What is Thevenin Equivalent with dependent source?

Thevenin Equivalent with dependent source is a method used to simplify complex circuits into a single equivalent circuit with a voltage source and a series resistor. It is based on Thevenin's theorem which states that any linear circuit containing voltage and current sources can be replaced by an equivalent circuit with a voltage source and a series resistor.

How is Thevenin Equivalent with dependent source calculated?

Thevenin Equivalent with dependent source is calculated by first finding the open-circuit voltage (Voc) and the short-circuit current (Isc) of the original circuit. Then, the equivalent voltage source is equal to the open-circuit voltage, and the equivalent resistor is equal to the open-circuit voltage divided by the short-circuit current.

What is the difference between Thevenin Equivalent with dependent source and Thevenin Equivalent with independent source?

Thevenin Equivalent with dependent source uses a dependent source (such as a voltage-controlled voltage source) in the equivalent circuit, while Thevenin Equivalent with independent source uses only independent sources (such as voltage and current sources). The dependent source is controlled by the original circuit, making the equivalent circuit more accurate for certain applications.

What are the limitations of Thevenin Equivalent with dependent source?

Thevenin Equivalent with dependent source is only applicable to linear circuits, meaning that the components must have a linear relationship between voltage and current. This method also assumes that the circuit is in steady-state and does not take into account any transient effects. Additionally, it may not accurately represent the behavior of the original circuit for certain applications.

When is Thevenin Equivalent with dependent source most useful?

Thevenin Equivalent with dependent source is most useful for analyzing circuits with dependent sources, such as operational amplifiers or transistors. It can also be helpful in simplifying complex circuits for easier analysis and design. Additionally, it can be used to find the maximum power transfer for a given load in a circuit.

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