EQUIPOTENTIAL SURFACES

Relation between field and potential

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Electric field is in the direction in which the potential Cloze (1): steepest

That is negative gradient of Cloze (2): is the Electric field intensity

Or in the integral form, negative line integral of the Cloze (3): is the potential

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Definition of Equipotential surface

A surface in which every point has the same potential is called equipotential surface

Potential varies inversely with time, so the distance remains constant for that surface from the charge configuration

Thus, equipotential surfaces of a single point charge are concentric Cloze (1): surfaces centred at the charge

Equipotential surfaces are parallel Cloze (2): perpendicular to the lines of force, in the case of uniform electric field

The electric field must be Cloze (3): to the equipotential surface at every point, if not, there is non-zero component of electric field (vector) along the surface

Magnitude of Electric field is given by the change in the magnitude of Cloze (4): per unit displacement normal to the equipotential surface at the point

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