If the electrical potential in a region is constant,the electric field must be zero everywhere in that region.

Name: If the electrical potential in a region is constant,the electric field must be zero everywhere in that region.
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Quizplus · Accepted Answer

This statement is a direct consequence of the fact that the electric field is related to the gradient of the electrical potential, and if the potential is constant, the gradient (i.e. the derivative) will be zero, implying a zero electric field throughout the region.

If the Electrical Potential in a Region Is Constant,the Electric