Are Changing Electric Fields Non-Conservative?

AI Thread Summary
Changing electric fields can be considered non-conservative due to their dependence on time and path when analyzed as a function of both position and time, represented as E(r,t). At any specific moment, the electric field can be treated as conservative, but the introduction of time variation complicates this. The work done in moving a charge in a changing electric field is path-dependent, which is a key characteristic of non-conservative fields. This distinction is crucial for understanding electromagnetic phenomena and their implications in physics. Therefore, while static electric fields are conservative, changing electric fields exhibit non-conservative behavior.
shahidkhilji
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can we say that changing electric fields are non conservative in nature . if yes what does this mean and why this happens
please help me
 
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I don't think we can say that it is non-conservative, because at any given instant it is conservative. It is only if we begin looking at \vec{E}(\vec{r},t) that it becomes non-conservative, as the work integral now depends on path.
 
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