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Question

In a uniform electric field, equipotential surfaces must :

A
be plane surfaces
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B
be normal to the direction of the field
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C
be spaced such that surfaces having equal differences in potential are separated by equal distances
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D
have decreasing potentials in the direction of the field
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Solution

The correct options are
A be plane surfaces
B be normal to the direction of the field
C be spaced such that surfaces having equal differences in potential are separated by equal distances
D have decreasing potentials in the direction of the field
Uniform field means a constant field at every point and it is directed in a fixed direction for all points. Thus equipotential surfaces must be plane surface. The electric field is always perpendicular to equipotential surface because E=V. As surfaces are equipotential so it must be spaced such that surfaces having equal differences in potential are separated by equal distances. As E=dVdr so it must have decreasing potentials in the direction of the field.

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