PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Electrostatic fields and potential · Electrostatic fields and potential
The Boundary-Value Problem, Ch The multipole expansion of the potential
Problem
Two point charges, each +q with q=5.0nC, are fixed at (a,0,0) and (0,a,0) with a=3.0cm. Take the origin as stated.
((a)) Find the total charge of the pair.
((b)) Find the dipole moment about the origin, giving its magnitude and its direction relative to the x-axis.
((c)) Can this dipole moment be treated as the leading non-vanishing term for computing the potential far from the pair? Explain, referring to how each term of the multipole expansion falls with distance.