Example M1.
We work in the $xy$-plane, with all coordinates measure in meters.
At the point \(P(1,3)\), the electric field is
$$
{\bf E} = {1\over 4\pi\epsilon_0} \left\langle{0.2159,-0.8167}\right\rangle\qquad \hbox{nN/C}.
$$
-
Could \({\bf E}\) be caused by
some combination of point charges at
the points \(P_1(-2,-1)\) and \(P_2(-4,15)\)?
If not, explain why not;
if so, find all possible point charges
compatible with \({\bf E}\) as measured.
-
Could \({\bf E}\) be caused by
some combination of point charges at
the points \(P_3(-3,3)\) and \(P_4(13,3)\)?
If not, explain why not;
if so, find all possible point charges
compatible with \({\bf E}\) as measured.