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We know that the electric field at the surface of a conductor only have a normal component equal to ρ /ε (finite number).

But let’s consider the point P (at the surface of a conductor ) . Assume that there is a charge at an infinitesimal distance from the point p . we can obtain the field at the P by the fourmula (E=Kq/r) .obviously, E ~1/r. so the normal component of the field is infinite. Now if we add the field due to other charges, it will remain infinite. So where could I be possibly wrong?

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# Confused about the electric field at the surface of a conductor

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