Laplace and transfer function ( input output voltage)

Then, use the convolution integral with the given input voltage to find the output voltage. In summary, the problem involves finding the output voltage using the convolution integral with a given input voltage and transfer function. The impulse response in the time domain should be used to solve this problem.
  • #1
gethelpelectr
5
0

Homework Statement


Given transfer function : H(s)=Vo/V1=(10/s)/(4+0.4s+(10/s)) and the input voltage is given as V1=10(u(t)-u(t-0.1))V. Use the convolution integral to find Vo for t>=0.1


Homework Equations


convolution integral..its hard to write and laplace table

The Attempt at a Solution


find the laplace for v1 then find laplace for Vo which is the transfer function times V1.. however when I'm doing that I am getting an extremely hard laplace to invert.
This should not be the case since this is a multiple choice question of an exam i had today
Thank you a lot
 
Physics news on Phys.org
  • #2
The problem tells you to use the convolution integral, so I have no idea why you are working in the Laplace domain. Your first step should be to find the impulse response in the time domain.
 

Question 1: What is Laplace transform and how is it related to transfer function?

The Laplace transform is a mathematical tool used to convert a time-domain function into a complex frequency-domain function. The transfer function, on the other hand, is a mathematical representation of a system's input-output relationship. The Laplace transform is used to derive the transfer function of a system.

Question 2: How is the input-output voltage relationship represented in a transfer function?

In a transfer function, the input-output voltage relationship is represented by the ratio of the output voltage to the input voltage, typically denoted as Vout/Vin. This ratio is also known as the gain of the system.

Question 3: What is the significance of Laplace transform in circuit analysis?

The Laplace transform is a powerful tool in circuit analysis as it allows for the analysis of complex circuits in the frequency domain. It helps in simplifying the mathematical calculations and finding the transfer function of a circuit, which can then be used to determine the system's behavior and stability.

Question 4: How is transfer function used in control systems?

In control systems, the transfer function is used to model the input-output relationship of the system. It is then used to design controllers that can manipulate the system's behavior to achieve desired output. The transfer function also helps in analyzing the stability and performance of the system.

Question 5: What are the limitations of using transfer function in circuit analysis?

The transfer function assumes that the system is linear, time-invariant, and causal, which may not always be the case in real-world systems. Additionally, it cannot take into account any nonlinearities or disturbances in the system. Therefore, it may not provide an accurate representation of the system's behavior in all situations.

Similar threads

From differential equations to transfer functions
    • Engineering and Comp Sci Homework Help
Replies
5
Views
1K
Process Control (transfer function) problem
    • Engineering and Comp Sci Homework Help
Replies
1
Views
336
Engineering Calculating the unknown voltages in ideal op-amp circuits
    • Engineering and Comp Sci Homework Help
Replies
13
Views
2K
Engineering Transfer function of AC Transformer
    • Engineering and Comp Sci Homework Help
Replies
2
Views
1K
Engineering How would I solve this using Laplace transformation?
    • Engineering and Comp Sci Homework Help
Replies
4
Views
1K
Does the transfer function exist for an unforced system?
    • Engineering and Comp Sci Homework Help
Replies
12
Views
2K
Determine a transfer function in the `s` domain and the response to a ramp input
    • Engineering and Comp Sci Homework Help
Replies
23
Views
4K
Output of transfer function given impulse response and input the
    • Engineering and Comp Sci Homework Help
Replies
2
Views
2K
Oven controller block diagram, transfer function and temperature calcs
    • Engineering and Comp Sci Homework Help
Replies
24
Views
2K
Engineering Is it possible for a low pass filter to have such a transfer function?
    • Engineering and Comp Sci Homework Help
Replies
16
Views
961

Hot Threads

Recent Insights

Back
Top