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## Homework Statement

The Electric Potential on an XY plane is described by the relationship V=2x^2-2y^2. Consider ONLY values in the range [0, 5].

A) Depict on an XY plane three lines of equal potential V=-4V, 0V and 4V. Consider 5 ponts. X= 0, 1, 2, 3, 4, 5.

B) Consider one point where x= 3m, and y= 3m. Estimate the electric field magnitude in volts per meter.

C) For the same point, estimate the direction of the electric field, counting counter-clockwise from the X-axis. If an electron is placed at this point, D) what would be the direction and E) the magnitude of the force acting on it.

F) If the electron is freed up, what would be its acceleration?

## The Attempt at a Solution

A) Don't need help with this.

B) For this question, I am assuming we wouldn't differentiate the the equation given since it is in terms of x and y. Would it be logical to use E=V/x where V is the potential difference between the two closest contours and x is the distance between them passing through (3, 3)?

C) For this question, I am also assuming this is merely conceptual and that there is no calculations to determine the angle. I was going to estimate 120 deg- 135 deg from the +x axis.

D) Wouldn't the electric field from an electron be insignificant relative to this field, therefore the electric field would remain in the direction it was?

E/F) Don't require help.

Thanks!