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What is the importance of equipotential surfaces?

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The drawings of equipotential surfaces give us a visual picture of both the magnitude as well as direction of electric field intensity in region of space.

In the region of strong electric fields, equipotential surfaces are close together. The reverse is also true. This follows from

E = \(-\frac{dV}{dr}\)  i.e. dr = \(-\frac{dV}{E}\) or dr ∝ \(\frac{1}{E}\) 

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