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Why do electric lines of force never intersect each other ? Can two equipotential surfaces intersect?

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The tangent at a point on the line of force gives the direction of electric field at that point. If two lines of force intersect each other a point, then electric field at that point will have two direction. As the same can hot be true, so electric lines of force never intersect each other. 

No,two equipotential surfaces can intersect each other.

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