Question

Why should electric field lines never cross each other?

• A. Electric field at any point is always singular in magnitude.
• B. Electric field at any point is always singular in direction.
• C. Electric field at any point cannot be multi-directional.
• D. All of the above

Answer 1

Answer: (B), (C)

The correct options are
B Electric field at any point is always singular in direction.
C Electric field at any point cannot be multi-directional.

$\bullet$ Electric field lines at a point give the direction of Electric field at that point.

$\bullet$ If we find two E.F. lines crossing at a point, which means that there are two directions of Electric field at that point.

$\bullet$ But since Electric field at a point can have only one direction. Therefore above is not possible.

$\bullet$ Hence, Options $B$ and $C$ are correct.