A Is it ever possible for equipotential lines to cross Why o

A. Is it ever possible for equipotential lines to cross? Why or why not?

B. If the electric potential due to a point charge depeneds on choosing an arbitrary reference point, why do we not have to choose a reference point if we measure the potential difference?

Solution

A)

No , they don\'t cross each other.

as the electric field is perpendicular to the equipotential lines(planes). If two equipotential will cross , this will mean that there is two direction of electric field at the same point which is not possible.

B)

As when we measure potential using a reference point we are finding the potential difference between the given point and the reference point.

hence , it is same as the potential difference between two points is same as a points and reference point