Vanishing electric field
Vanishing electric field#
Two arbitrary charges lie along the \(x\)-axis.
Regardless of the values of the two point charges, there will always be a point along the \(x\)-axis at which the electric field vanishes (other than +/- infinity).
Consider a pair of equal but opposite point charges. The electric field is non-zero at all points along the \(x\)-axis (except +/- infinity).