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Electric Charges and Fields
Question
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Two electric field lines never cross each other. Why?

Answer

Two electric field lines never cross each other. If they intersect, then at the point of intersection two tangents can be drawn indicating two directions of electric field which is never possible. 

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Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?