###### Asked in Math and ArithmeticAlgebraGeometry

Math and Arithmetic

Algebra

Geometry

# Is it possible for equipotential lines to cross?

## Answer

###### Wiki User

###### August 11, 2012 11:47PM

Equipotentials cannot cross because they relate to places with a given value for potential. Lines of force meet at the charge or point of mass.

They can cross if they relate to the same potential. Think of two mountain chains of unvarying height crossing each-other.

## Related Questions

###### Asked in Electrical Engineering

### Why are the equipotential lines near conductor surfaces parallel to the surface and why perpendicular to the insulator surface mapped?

Charged surfaces are linked by an electric field, which is
represented by lines of force that are perpendicular to the charged
surfaces. A voltage gradient exists along the direction of these
lines of force. So, for each line of force, those points that exist
at identical potentials can be linked to show lines of
equipotential, and these lie at right angles to the lines of
force.
Lines of equipotential visually represent the voltage gradient
within the insulating medium between two charged surfaces, in much
the same way that gradient lines are used on a map to shown
physical gradients on land surfaces -i.e. closer together the lines
of equipotential are, the steeper the voltage gradient. If the
voltage gradient is steeper than the insulating medium can
withstand, then the insulation will break down.