Past exam of the mathematics course of the University of Cambridge 2023 ib Paper 4 5D c Solution Created 2026-09-24 Updated 2026-09-25
Here and . At , the -components of the fields of the two outer charges cancel by reflection symmetry. By Coulomb's law, the remaining field isMultiplying by the test charge givesThe quantity in parentheses is positive. Thus for the force points in the negative direction, while for it points in the positive direction. It is always attractive toward the origin, as in the transverse force from a collinear electric quadrupole.