Cant understand this transition

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Homework Help Overview

The discussion revolves around a transition in a mathematical context, specifically involving the integration of a variable related to current (I) and its derivative. Participants are examining the reasoning behind changing the variable from time (t) to current (I) during integration.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the rationale behind the change of variable from t to I, particularly in the context of integration limits and the relationship between the two variables. There are attempts to clarify the dependency of i on t and the implications of this change.

Discussion Status

The discussion is ongoing, with participants exploring the reasoning behind the variable change and its implications for the integration process. Some guidance has been offered regarding the relationship between the variables, but no consensus has been reached.

Contextual Notes

Participants are working within the constraints of a homework problem, which may limit the information available for discussion. The relationship between the variables and their respective intervals is a focal point of inquiry.

nhrock3
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how did they erased the derivative of I object

how did they change the variable?
 
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Substitute P=Li.di/dt in the equation.. dt cancels out
 
why they change t to I
on the interval
?
 
nhrock3 said:
why they change t to I
on the interval
?

Because now we are integrating with respect to i as it goes from 0 to I. First, we were integrating with respect to t which was going from 0 to t. It means that as t goes from 0 to t, i goes from 0 to I and that i is dependent on t.

i(t=0) = 0
i(t=t) = I
 

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