Let $V$ and $E$ are potential and electric field intensity at a point then
  • Aif $V = 0$ then $E$ must be zero
  • Bif $V  \ne  0$ then $E$ can not be zero
  • Cif $E \ne 0$ then $V$ can not be zero
  • Dif $V = 0$ then $E$ may be zero
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