# Electric Field Lines intersection

I have been taught that Electric Lines of Force do not Intersect each other except at charges. But then I came across this simulation: www.falstad.com/vector3de While drawing Field lines in 2D we show no field lines in this plane but technically, field is zero only at the null point exactly at the centre if we consider equal positive charges.

Does that mean that there can be field in regions where there are no field lines? and can Field lines intersect as shown in the image.

On thinking about this I came to a conclusion that since field is zero at null point it can have any possible direction like a zero vector so we can say field lines intersect there. But isn't this a vacuous logic as representing directions for zero vector is meaningless.

I understand that field lines are just a representation,a human construct, but do we consider the lines shown in the image, is there some definite rule to avoid this confusion.

One more thing I was told that Equipotential lines too don't intersect because then field would have multiple directions but then in this case, it seems as if it can . Direction of zero field is meaningless and we don't draw Equipotential lines inside a metal as the entire conductor is equipotential, it would be ambiguous.

So Is there any standard rules we follow to draw field lines such that they don't intersect at points where there is ambiguity?

• Please give appropriate credit to the source of the simulation. It looks like the work of Paul Falstad falstad.com/vector3de . – robphy Jun 23 at 13:51
• Yes it's Paul Falstad's. I will include it in the question – Ameya M Jun 23 at 14:04
• As you continue studying, you'll find that field lines become less and less useful as a concept. There aren't a whole lot of standard rules for drawing field lines because they're ultimately "cartoons" of what the electric field actually looks like (which is a vector field having a value at every point in space). I would encourage you to start thinking in terms of vector fields, rather than field lines. – probably_someone Jun 23 at 15:10