When current flow reach indeterminate form

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Homework Help Overview

The discussion revolves around a circuit problem involving current flow represented by a function that becomes indeterminate at a specific input value. The original poster is inquiring about the current flowing in the circuit when the input current approaches this indeterminate point.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the implications of the function being indeterminate at a certain value and questioning the validity of using limits in this context. There is curiosity about the actual current reading in such scenarios and the relevance of the problem to real circuit setups.

Discussion Status

The discussion is ongoing, with participants raising questions about the nature of indeterminate forms and the appropriateness of applying limits. Some guidance has been offered regarding the commonality of limit problems in mathematics, but no consensus has been reached on the specifics of the circuit scenario.

Contextual Notes

There is mention of the need for a real circuit example to better understand the application of the mathematical concepts discussed. The original poster's inquiry suggests a lack of clarity regarding the problem's context and assumptions.

rajeshmarndi
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Homework Statement


If the current flow, in a branch of a circuit, is a function of say (√(x + 2)-2)/(x-2) (or any such that give an indeterminate form at a certain value) of an input source current x.

What current will be flowing on that part of the circuit, when the function become indeterminate form i.e when the input current x is increased to 2?

Homework Equations

The Attempt at a Solution


I know it is indeterminate form at x=2 and on evaluating its limit equal to 1/4.
 
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If it is indeterminate then it is indeterminate. Whether it is valid to use the limit as x approaches 2 from above depends on circumstances. Is this the whole question as given to you?
 
I was just curious to know, what current reading will it show, in such scenario.
 
It would be one of those 'limit' problems that are one of the most common problems, if not the most common, in the math section here.

If you gave an example of a real circuit setup that generates such a formula, it might help convince students (an to an extent me) that there is a point in these exercises. :oldsmile:
 

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