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In the region between the charges, only the part of y=-1 that has a
Consider two equal positive charges on the x-axis where q1 is at -1m and
q2 is
at +1m. clearly the field is zero at the origin and the field lines are
directed straight up on the +y axis and straight down on the -y axis.
This clearly cannot be the case, since if we consider any point on, say
line y =
-1, (other than 0,-1) the x component of its electric field is negative,
meaning it is part of a field line headed (somewhat) to the left. Since
the
field line originated on q1 it must have started out headed to the right.