Please see attached diagrams for problem and question, thanks.
Let "^" be the exponent operator.
a) Rank these arrangements in order of magnitude of force experienced by the test charge.
Force F = K.q1.q2/r^2 where k = 1/(4*pi*e0) where e0 = permittivity of free space = 8.85E-12 Nm^3/C
Arrangement E: Fe = k. (2qQ)/s^2; direction along negative ...
This solution involves ranking of the arrangements in order of magnitude of force experiences by test charge, and the determination of the expression for the electric fields at the position of the test charge due to fixed charges. Detailed calculations are provided along with explanations.