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MattyP
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Homework Statement
I guess this isn't like a homework question. I'm studying for an upcoming exam and feel pretty confident about most of the material, except for the relationship between Electric Potential and Electric Field. I guess the pertinent equation is as follows:
Homework Equations
ΔV=-∫Esds
The Attempt at a Solution
I understand the concept behind this. Electric potential is the negative integral of electric field. What confuses me is that my professor keeps graphing both in the positive y-axis. If electric potential is the NEGATIVE integral of electric field, wouldn't it always be the "opposite". So if graphing E vs distance and E = +1000 V/m at d = 20m and electric field is increasing as distance increases, wouldn't the electric field vs distance graph start at, say, some arbitrary y-value and then decrease as distance decreases?
This doesn't conceptually make sense to me anyway because of electric potential's equation. I would imagine that E would increase as V increased since the only difference in equation is that one is inverse squared and one is not.
I've derived V from E so that I would understand it mathematically as well. I guess my issue is the conceptual reasoning for it.
So to sum it up, why does E increase when V decreases
Sorry if this is redundant / been asked before. I know I'll probably be yelled at for messing something up my first time posting her, but I guess I'll learn