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Equipotential Surfaces

Question

Why do the euipotential surfaces due to a uniform electric field not intersect each other

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Solution

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If the electric field intersect each other their will be a common tangent point and hence their will be two values of electric potencial.

But we know the property of equipotencial surface that they are unique from one other which does not exist if they intersect each other.

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Similar Questions

Q1

Why do the euipotential surfaces due to a uniform electric field not intersect each other

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Q2

In a uniform electric field, equipotential surfaces must :

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Q3

No two equipotential surface intersect each other ?why?

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Q4

Define an equipotential surface. Draw equipotential surfaces :

(i) in the case of a single point charge and
(ii) in a constant electric field in Z-direction.

Why the equipotential surfaces about a single charge are not equidistant ?
(iii) Can electric field exist tangential to an equipotential surface ? Give reason.

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Q5

(a) Explain why, for a charge configuration, the equipotential surface through a point is normal to the electric field at that point ?
Draw a sketch of equipotential surfaces due to a single charge (-q), depicting the electric field lines due to the charge.
(b) Obtain an expression for the work done to dissociate the system of three charges placed at the vertices of an equilateral triangle of side 'a' as shown in the figure.

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