What is the Practical Application of ZSR and Delta Function in Circuit Theory?

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Discussion Overview

The discussion revolves around the practical application of Zero State Response (ZSR) and the Delta function in circuit theory. Participants seek clarification on the relationship between the step function, Delta function, and ZSR, as well as examples and reading materials to better understand these concepts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses confusion about the transition from the step function to the Delta function via derivatives and seeks practical examples or reading materials.
  • Another participant suggests a Wikipedia link on the Heaviside step function as a starting point for understanding.
  • A participant mentions a lecturer's explanation regarding the complexity of deriving responses from the Delta function and proposes that ZSR responses to the Delta function and a "duplete" function yield the same results, but requests further examples.
  • One participant shares their lack of expertise in controls or communications and notes that they have not used the derivative of the Delta function in practice, suggesting that convolving the impulse response with arbitrary inputs is a more common approach.
  • A participant recommends a book titled "Basic Circuit Theory" by Desour for further reading on the topic and asks for suggestions on electrical engineering forums where they might find more knowledgeable responses.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the understanding or application of ZSR and the Delta function, with multiple competing views and requests for clarification remaining unresolved.

Contextual Notes

There are references to specific functions and concepts (like "duplete") that may not be universally recognized or defined, leading to potential misunderstandings. The discussion also highlights a lack of familiarity with ZSR among some participants.

Who May Find This Useful

This discussion may be useful for students and practitioners in electrical engineering, particularly those interested in circuit theory and the mathematical foundations of system responses.

electron2
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i can't understand translate these words :
"instead of going from u(t) (step function) to delta function (shock function)
via derivative,
we go from u(t) to reaction of zsr to u(t)
and the we go to the reaction of zsr to shock function (delta function)

i am looking for
practical example ,or some more reading material to this.
 
Engineering news on Phys.org
i know what a step function.

my lecturer said that "there are circuits which asks us to calculate
the response on duplete function.
for that we need to do a derivative from delta function to duplete
which is very complicated.
instead we do zsr response to delta and zsr response to duplete and we get the same result"

does that ring a bell
i want an example on this stuf
i can't understand the process

example example example
 
I'm not an expert in controls or communications (where you're most likely to encounter this sort of thing from an EE standpoint), however, I can't recall having had to use the derivative of the delta-dirac function for anything, and a search for the 'duplete' function brings up your post, and misspellings of 'deplete'.

You're probably better off asking your lecturer (or waiting for a response from someone who may better understand your question), as it's been a number of years since I've had to do anything like that. When we did use it, it was convolving the impulse response of a system with an arbitrary input in order to find the system response to that arbitrary input.

In the meantime, perhaps equations 14 through 17 of the Wolfram article on the Delta Dirac function are applicable?
http://mathworld.wolfram.com/DeltaFunction.html

Sorry I can't be of any more help, in this case.
 
have you heard of
desour " basic circuit theory"

this is a book about such stuff.

can you suggest to me some hardcore electrical engeneering forums.

i visited several already
and in all of them i was given responses like "what is ZSR i haven't heard of it"
"whats delta function" etc..
 

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