The electric potential is constant through a given region of space .is the electric field zero or non zero in this region? explain
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If the electric potential is constant, say 1 V, then there is no direction of greatest increase. Hence the gradient of the electric potential is zero, and the electric field is zero everywhere inside the region of constant electric potential.
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When the electric potential is constant through out a given region of space the electric field is zero .Because the electric field is the force perunit positive charge. And electric potential is the potential difference. Hence the physical significance of a point where the electric field is non-zero, is tha0t the electric field is non-zero, and that the potential is zero there has no physical significance, because the point-values of the potential are not unique
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