Answer:
The direction of electric field and equipotential line at the same point are always PERPENDICULAR TO THE ELECTRIC FIELD.
Explanation:
Equipotential surface is a three dimensional part of equipotential lines.
Equipotential lines are a type of contour lines that is use to trace lines that have the same altitude on the map and the altitude is the electric potential.
Equipotential lines are always perpendicular to electric potential because the lines creates three dimension equipotential surface.
The direction of the electric field and equipotential line at the same point is always perpendicular.
The electric field and the electric potential both are dependent on distance. As we move farther from the source generating the electric field, the electric field strength, as well as the electric potential strength, decreases.
The electric field is inversely proportional to the square of the distance from the source, while the electric potential is inversely proportional to the distance itself.
The equipotential surface is a surface on which every point is at the same distance from the source so that each point is at the same potential.
Now, we can make an equipotential line joining these points. Since it is fixed at a surface, we can not move farther or closer to the source, because there will be a change in the distance and the potential will change.
So these lines are always perpendicular to the lines representing the electric field, which travel towards or away from the source
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