Sign(z): What Does It Mean in a Physics Equation?

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SUMMARY

The discussion centers on the significance of the term sign(z) in physics equations, particularly in the context of calculating the electric field due to a uniform disk of charge. Participants highlight that sign(z) indicates the direction of the electric field vector, which is crucial for understanding the behavior of the field in different coordinate systems. Ignoring the sign can lead to incorrect interpretations, especially when the modeled object transitions between positive and negative coordinates. The frame of reference plays a vital role in determining the relevance of the sign in calculations.

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pyroknife
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I've seen some equations written with a sign for example the e field due to a uniform disk of charge is sign(z)*2*pi*etc... what does the sign(z) do in that equation? When I see the equation actually used, I just see them ignore the sign.
 
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wouldn't the answer here depend on the frame of reference that you decided to use? I mean, if you decide that coordinate 0,0(,0) is outside of the possible area that is of interest to the problem, then signs wouldn't really matter much, right? On the other hand, if the thing being modeled crosses from a positive coordinate to a negative one (or vice versa)...
 

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