A thin rod lies along the -axis from to

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

A thin rod lies along the xx-axis from x=0x=0 to x=Lx=L, with uniform linear charge density λ0=4.0 nC m−1\lambda_0 = 4.0\,\mathrm{nC\,m^{-1}} and length L=0.10 mL=0.10\,\mathrm{m}. Take the origin at the end x=0x=0. ((a)) Find the total charge QQ of the rod. ((b)) Find the dipole moment p\mathbf{p} about the origin. ((c)) State the leading non-vanishing term of the multipole expansion for this rod and how its potential falls with distance.

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