A small PTFE (Teflon) bead

PHYSICS · Multi-part · 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 PTFE (Teflon) bead, radius

a = 0.30\,\mathrm{mm}

and

\varepsilon_r = 2.1

, sits in a uniform field

E_0 = 2.0\times10^{4}\,\mathrm{V\,m^{-1}}

, far from any other charge. ((a)) Find the field

E_{\rm in}

inside the bead. ((b)) Find its induced dipole moment

p

. ((c)) State, with a one-line reason, the net bound charge on the whole bead.