Calculating Vx in a Circuit with Superposition and Kirchoff's Laws

In summary, superposition is a principle in physics that states that when multiple waves or signals are present in a system, the resulting wave or signal is the sum of all individual waves or signals. This concept is important in the study of circuits, as it allows for the analysis and understanding of complex circuit systems by breaking them down into simpler parts. By using superposition, engineers and scientists are able to predict the behavior of circuits and design more efficient and effective electronic devices.
  • #1
Mark Nussbaum

Homework Statement


upload_2017-9-19_1-19-38.png


Homework Equations


current/voltage division
V=IR
Kirchoffs Laws

The Attempt at a Solution


NjqKa5v

and adding all Vx I get 9.818181V.[/B]
 

Attachments

  • upload_2017-9-19_0-56-22.png
    upload_2017-9-19_0-56-22.png
    13.2 KB · Views: 490
  • upload_2017-9-19_1-2-15.png
    upload_2017-9-19_1-2-15.png
    12.1 KB · Views: 427
Physics news on Phys.org
  • #3
Mark Nussbaum said:

Homework Statement


View attachment 211347

Homework Equations


current/voltage division
V=IR
Kirchoffs Laws

The Attempt at a Solution


NjqKa5v

and adding all Vx I get 9.818181V.[/B]

You've got a sign error. The component of Vx produced by the 40 volt source is -80/11, not +80/11.
 
  • Like
Likes Mark Nussbaum

Related to Calculating Vx in a Circuit with Superposition and Kirchoff's Laws

What is superposition in circuits?

Superposition in circuits refers to the principle that the total response of a circuit with multiple sources is equal to the sum of the individual responses of each source acting alone.

How is superposition used in circuit analysis?

Superposition is used in circuit analysis to simplify complex circuits by breaking them down into individual components and analyzing them separately. This allows for easier calculation of voltages, currents, and other circuit parameters.

What are the limitations of superposition in circuit analysis?

Superposition can only be applied to linear circuits, meaning that the response of the circuit must be directly proportional to the applied input. It also cannot be used to analyze circuits with dependent sources, such as voltage-controlled voltage sources.

How does superposition relate to the concept of linearity?

Superposition is a result of the linearity of circuits. Linearity means that the response of a circuit is directly proportional to the input. This allows for the principle of superposition to be applied, as the individual responses of each source can be added together to determine the total response.

What are some practical applications of superposition in circuit design?

Superposition is commonly used in circuit design to analyze and optimize the performance of electronic devices, such as amplifiers and filters. It is also used in the design of power systems and in the development of control systems for various applications.

Similar threads

  • Engineering and Comp Sci Homework Help
2
Replies
42
Views
5K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
8
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
4
Views
2K
  • Engineering and Comp Sci Homework Help
Replies
22
Views
2K
  • Engineering and Comp Sci Homework Help
Replies
16
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
8
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
2K
  • Engineering and Comp Sci Homework Help
Replies
5
Views
2K
  • Engineering and Comp Sci Homework Help
Replies
3
Views
1K
Back
Top