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Since V is the integral of -E. Shouldn't E be derivative of -V. I asked my TA that and he said something about them not having that kind of a relationship, can someone explain this?
Doesn't that just mean E is the negative derivative of V tho?You need to sharpen your thinking. The electric field is a vector, so to specify it you need to specify its three components. These are
[itex]E_{x}=-\frac{\partial V}{\partial x}[/itex]; [itex]E_{y}=-\frac{\partial V}{\partial y}; [/itex][itex]E_{z}=-\frac{\partial V}{\partial z}[/itex]