Simplifying Node Voltage Method for Finding Vo in Laplace Applications

Click For Summary
SUMMARY

The discussion focuses on applying the node voltage method, specifically using Kirchhoff's Current Law (KCL), to determine the output voltage Vo in Laplace applications. The user has derived an expression for Vo(s) as 7.88E-6 / (s^2 + (2.63E-8)*s + 2.1E4) and seeks validation of this equation. Additionally, the user is looking for simpler numerical approaches to avoid complex calculations, particularly in the context of exam conditions where calculators are prohibited. The challenge of performing partial fraction decomposition is also highlighted as a significant difficulty.

PREREQUISITES
  • Understanding of Kirchhoff's Current Law (KCL)
  • Familiarity with Laplace transforms and their applications
  • Knowledge of partial fraction decomposition techniques
  • Basic algebraic manipulation skills for handling quadratic equations
NEXT STEPS
  • Research simplified methods for applying the node voltage method in circuit analysis
  • Learn techniques for performing partial fraction decomposition efficiently
  • Explore numerical methods for solving quadratic equations without calculators
  • Study Laplace transform properties and their implications in circuit analysis
USEFUL FOR

Electrical engineering students, circuit designers, and anyone preparing for exams involving circuit analysis and Laplace transforms.

Disar
Messages
27
Reaction score
0
I am currently working on the crct. in the attachment. I have been asked to find the "node voltage method" (i.e.-KCL) to determine Vo. I want to check my equation and was hoping someone can help. Also, I am trying to prepare for an exam and would like maybe an easier way numerically to approach this seeing that calculators are going to be out of the question. I would hate to have to find the roots of a decimal quadratic equation or soemthing of that nature.

I have Vo(s) equal to:

7.88E-6
(s^2 +(2.63E-8)*s +2.1E4)

Does anyone else come up with this?

If anyone has any ideas on how to make this a little cleaner and how to consistently do that in general, feel free, please. Also, the partial fraction decomposition of this is proving to be a real bear.

Thanks for the help
 

Attachments

Physics news on Phys.org
*clears throat* BUMP!
 
You might want to write out the problem since no one is able to see the question with your "attachment pending approval."
 

Similar threads

AC - Node Voltage Method for difficult circuit
  • · Replies 4 ·
Replies
4
Views
2K
Engineering Finding Vo Using Node Voltage Method: A Calculator Puzzle
  • · Replies 4 ·
Replies
4
Views
3K
Engineering Op-Amp Resistive Circuit Homework: Finding Vo in a Given Circuit
  • · Replies 2 ·
Replies
2
Views
2K
Laplace and transfer function ( input output voltage)
  • · Replies 1 ·
Replies
1
Views
3K
Engineering OpAmp Circuit Analysis: Finding the Differential Equation for Vo
  • · Replies 36 ·
2
Replies
36
Views
5K
Calculating Node Voltage using Nodal Analysis
  • · Replies 4 ·
Replies
4
Views
2K
From differential equations to transfer functions
  • · Replies 5 ·
Replies
5
Views
3K
Engineering Bridge/Ladder Circuit and Node Voltage Method
  • · Replies 4 ·
Replies
4
Views
2K
How is KVL used in the node method KCL equations?
  • · Replies 3 ·
Replies
3
Views
2K
Engineering Finding the Transfer Function of an RC Circuit in the Laplace domain
  • · Replies 2 ·
Replies
2
Views
6K