If the field lines were not perpendicular to the surface, then they could be decomposed into components perpendicular and parallel to the surface. But if there is an E-field along the surface, the surface is no longer an equipotential.
Two lines cross at a point.
intersecting lines...
The lines that cross at a 90 degree angle are called Perpindicular lines.
what is the geometrical shape of equipotential surface due to single isolated charge
No, two different equipotential lines cannot cross each other. Equipotential lines are points in a space at which the electric potential has the same value. If two equipotential lines were to cross, it would mean that the electric potential at that point has two different values, which is not possible according to the definition of equipotential lines.
Equipotential lines in an electric field are imaginary lines that connect points having the same electric potential. Along these lines, no work is required to move a charge between the points, as the electric potential is the same. Equipotential lines are always perpendicular to electric field lines.
Equipotential lines are always perpendicular to electric field lines. This is because equipotential lines represent points in a field with the same electric potential, so moving along an equipotential line does not change potential. Thus, the electric field lines, which point in the direction of the greatest change in potential, intersect equipotential lines at right angles.
Multimeter is an instrument that measures electric equipotential. Equipotential lines can be determined by connecting various points of electric potential or voltage.
Equipotential lines are perpendicular to the insulator surface because the electric field lines are always perpendicular to the equipotential lines in electrostatic equilibrium. This relationship ensures that there is no component of the electric field tangent to the insulator surface, which would cause the charges to move. As a result, the charges remain at rest on the surface of the insulator.
The angle is a right angle.
For conductors, the electric field perpendicular to its surface and no field exist within the conductor. As a result the equipotential lines are found near the surface. They are parallel to the surface since equipotential are perpendicular to field lines.
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.
A uniform electric field exists between parallel plates of equal but opposite charges.
If the field lines were not perpendicular to the surface, then they could be decomposed into components perpendicular and parallel to the surface. But if there is an E-field along the surface, the surface is no longer an equipotential.
I am not sure what situation you are talking about; usually such curves should be smooth.