A small glass bead of radius and relative permittivity sits in the fair-weather…

PHYSICS · Subjective · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Electric fields in matter · Electric fields in matter

The Boundary-Value Problem, Ch Linear dielectrics and the boundary-value problem with matter in it

Problem

A small glass bead of radius

a = 0.50\,\mathrm{mm}

and relative permittivity

\varepsilon_r = 5

sits in the fair-weather electric field near the ground, of magnitude about

E_0 = 100\,\mathrm{V\,m^{-1}}

. Treating the bead as an isolated dielectric sphere in a uniform field, estimate the magnitude of its induced dipole moment.