The figure below shows a large region of space that has a constant electric fiel

Question

The figure below shows a large region of space that has a constant electric field in the positive x-direction (to the right). At the point (0,0)

The figure below shows a large region of space that has a constant electric field in the positive x-direction (to the right). At the point (0,0)·m, the electric field is +(30·V/m)x and the electric potential is 100·V. Consider the following points in this region: A: (0,6)·m B: (0,3)·m C: (-3,6)·m D: (3,6)·m E: (3,3)·m F: (6,6)·m Rank the voltage from most positive to most negative at points A-F. Ties are possible. Use the symbols > and = to indicate your ranking, listing any that are equal in alphabetical order. For example, if Y and Z are the same and are both greater than X, then you would enter Y=Z > X (note: Z=Y > X would be incorrect, since Y and Z, being equal, must be in alphabetical order). MOST POSITIVE MOST NEGATIVE

Explanation / Answer

The potentials(voltages) are in the order,

C > (A=B) > (D=E) > F

A,B,(0,0) are on equipotential surface perpendicular to field. so voltage at A is also 100v

Potential difference between A and F is,
Va-Vf = E * d = 30*6 =180
100 - Vf = 180
Vf = - 80 v

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