A uniform electric field exists between parallel plates of equal but opposite charges.
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lines that all the points on it have the same head pressure and eqipotential lines are always prependicular to the stream lines .
As we know equipotential surface means there is no potential difference that is no work is done on surface.so lines of force must intersect surface at right angles to satisfy this statement,so that net work is zero.
I am not sure what situation you are talking about; usually such curves should be smooth.
concentric spherical surfaces
VERTICAL LINES-lines that are at right angle and or perpendicular to a plane.HORIZONTAL LINES-lines that are parallel to the horizon.ANGULAR LINES-lines that have sharp edges. They can be long or short.CURVE LINES-lines that are without angles.SLANTING OR DIAGONAL-lines that suggest action or movement.JAGGED LINES-lines that are harsh and unpleasant.