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Question
- An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
- Explain why two field lines never cross each other at any point?
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Solution
As, `vecF_(OA) = vecF_(OC) or vecF_(OA) + vecF_(OC) = 0` ...(i)
Therefore, at zero, the net force on the charge is + 1 µC.
`vecF = vecF_(OA) + vecF_(OC) + vecF_(OB) + vecF_(OD) or vecF = 0`
An electrostatic field line is a continuous curve because a charge experiences a continuous force when traced in an electrostatic field. The field line cannot have sudden breaks because the charge moves continuously and does not jump from one point to the other.- If two field lines cross each other at a point, then electric field intensity will show two directions at that point. This is not possible. Hence, two field lines never cross each other.
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