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## Homework Statement

A. The electric potential in a certain region is

[tex]V=ax^2+bx+c[/tex]

where [itex]a=13\frac{V}{m^2}[/itex], [itex]b=-14\frac{V}{m}[/itex], and [itex]c=50V[/itex].

Determine the electric field at [itex]x=1m[/itex].

Answer in units of [itex]\frac{V}{m}[/itex].

B. Determine the position where the electric field is zero. Answer in units of m.

## Homework Equations

[itex]∫Edx=V[/itex]

## The Attempt at a Solution

Well V=49. I have no doubt about that. So if V is 49 at x=1, wouldn't the electric field also be 49 at x=1?