Circuit with Dependent Current Source

In summary, the conversation is discussing a homework problem and the method of solving it using nodal analysis. The person has attempted to use KCL at node A and solved for Va, but is not getting the correct answer. Another person points out that the setup of the circuit does not make sense, as the ammeter is connected incorrectly. The first person then questions how to find the current through the current source, to which the second person explains that it can be read directly from the ammeter if it is connected correctly.
  • #1
wk1989
32
1

Homework Statement


I'm not sure how to solve this question, the method you're supposed to use is nodal analysis.

Homework Equations





The Attempt at a Solution


I tried to use KCL at node A, so I have
Code:
(12-Va)/8 - 3Va =0

Once I solved Va, the current is 3*Va. However, I'm not getting the right answer which is supposed to be -6 A.

Any help would be appreciated, thanks!
 

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  • #2
The setup makes no sense. You don't connect ammeters in parallel with circuit elements, you connect them in series.

Are you sure this is how the diagram appears in your book?
 
  • #3
This was on a list of exercise problems from a university website, but ignoring that, how would you find the current through the current source?
 
  • #4
wk1989 said:
how would you find the current through the current source?

That is precicely why the setup makes no sense. If the ammeter truly is reading the current through the current source, then you don't need to calculate the current. You just read it! But that ammeter cannot possibly be reading the current through the current source, because it's connected wrong.
 

1. How does a dependent current source work?

A dependent current source is a type of electrical component that produces a current output that is dependent on another variable, such as voltage or current, in the circuit. It can be controlled by either a voltage or current source, and its output current is proportional to the controlling variable. This allows for more complex and precise control of circuit behavior.

2. What are the different types of dependent current sources?

There are two main types of dependent current sources: voltage-controlled current sources (VCCS) and current-controlled current sources (CCCS). VCCSs have an output current that is proportional to the voltage of the controlling source, while CCCSs have an output current that is proportional to the current of the controlling source.

3. How do you represent a dependent current source in a circuit diagram?

A dependent current source is typically represented by a diamond-shaped symbol with two terminals, similar to a regular current source. The controlling variable is usually indicated by an arrow pointing towards the diamond.

4. What are some real-life applications of a dependent current source?

Dependent current sources are commonly used in electronic circuits for various purposes, such as amplification, filtering, and regulation. They can also be found in more advanced systems like power supplies, sensors, and control systems.

5. How do you analyze a circuit with a dependent current source?

To analyze a circuit with a dependent current source, you can use techniques such as nodal analysis or mesh analysis, just like you would with any other circuit. The only difference is that you will need to take into account the relationship between the dependent current source and its controlling variable in your equations.

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