Answer:
No, the two electric field lines will never cross each other. It is not possible according to the theory because the theory states that there is only one tangential direction to the electric field line at a point.
Step-by-step explanation:
- No, the electric field lines will never cross each other at any point because the theory states that there should be only one direction of the electric field lines at each point.
- Hence when the electric field lines intersect at that point there are more than one tangents possible (actually two) so the theory is violated.
- The electric field line radially emerge outwards form a positive charge source and come radially in towards a negative charge source.
When the field lines of two unlike charges come near to each other then they merge together to yield a single direction, they do not intersect.
In contrast to that when the field lines from two like charges come near to each other then they get repelled away which again has only one tangential direction on each point of the electric field lines.