Why Integrate from 0 to I for Inductor Energy Calculation

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Homework Help Overview

The discussion revolves around the calculation of energy in inductors, specifically focusing on the integration limits used in different contexts. Participants are examining why integration is performed from 0 to a specific current I in one scenario, while in another, integration is done with respect to time.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the reasoning behind the choice of integration limits in energy calculations for inductors, questioning the differences between integrating with respect to current versus time.

Discussion Status

The conversation is ongoing, with participants raising questions about the rationale for different integration approaches. Some have provided insights into the relationship between current and time in these calculations, but no consensus has been reached.

Contextual Notes

There is a noted distinction between integrating with respect to current and integrating with respect to time, which some participants are trying to reconcile. The examples referenced may imply different assumptions or setups that are not fully clarified in the discussion.

nabliat
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why they integrate in from 0 till I in order to find the energy on the inductor

http://i27.tinypic.com/11rfbyf.jpg
 
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I'd think because as you turn on the circuit, the current through the conductor rises from 0 until it reaches the set current I, so the limits are from 0 to I.
 
nabliat said:
look in this example
http://i28.tinypic.com/2h3ykxx.jpg
here they pick intervals as time (not current like in the first example)
why??

because they are integrating with respect to time, so the limits must be associated with time. If they were integrating with respect to I, then they'd need limits associated with the current.
 
why in the first case they integrate with respect to current
and in the second with respect to time

those cases should be calculated in the same way
??
 

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