How Do Capacitors and Inductors Store Electric and Magnetic Energy?

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Discussion Overview

The discussion revolves around how capacitors and inductors store electric and magnetic energy, focusing on the conceptual understanding of energy storage mechanisms in these components. Participants explore theoretical aspects and interpretations of energy storage in electric fields and magnetic fields.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about the form in which electric and magnetic energy is stored in capacitors and inductors.
  • Another participant explains that in a capacitor, energy is stored due to charge separation between plates, with potential energy attributed to the electric field created by this separation.
  • A later reply discusses the concept of the space between capacitor plates being "filled" with electrical energy, suggesting that this can be attributed to the electric field and provides a mathematical expression for energy density related to the electric field.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the explanations of energy storage, and multiple interpretations and clarifications are presented without resolution.

Contextual Notes

The discussion includes assumptions about the nature of electric fields and energy density, and the mathematical treatment of energy storage is not fully resolved, leaving some aspects open to interpretation.

juhi
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hi
i am not exactly able to understand in which form or rather how electric and magnetic energy get stored in capacitor and inductor respectively... :shy:
 
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In a capacitor, one of the plates has excess positive charge and the other plate has excess negative charges. The negative charges want to fall towards the positive plate, just like we fall towards the earth.

As long as those charges are some distance apart (as long as an object is off the ground) there is stored up potential energy. It is our choice to say that the energy is "stored in the charges" or that the energy is "stored in the particle's field at all points in space", the mathematics can accomadate either interpretation.

I will let some one else explain an inductor for you.
 
thanks a lot..
 
that was a very nice explanation CROSSON...but when it is said that the space betn. plates is ""filled"" with electrical energy...how to explain this... :confused:
 
heman said:
that was a very nice explanation CROSSON...but when it is said that the space betn. plates is ""filled"" with electrical energy...how to explain this... :confused:

Since we are talking about stored potential energy when there is a charge separation, we can attribute that to the electric field, since whenever there is a charge separation there will be an electric field. Calculation of the total energy is given by
[tex]\int_{\hbox{All Space}} \frac{1}{2}\epsilon_0 \vec{E}^2 dV[/tex]

so it makes sense to identify the integrand as the energy density as a function of position. And notice that the energy density is zero or very small at points where the electric field is zero or very small. In a capacitor we usually treat the electric field as being entirely inside the capacitor and neglect fringe fields, we consider that as being where all the energy is.
 

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