A sphere of transformer oil ( )

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 sphere of transformer oil (

\varepsilon_r = 2.2

), radius

a = 2.0\,\mathrm{cm}

, sits in a uniform applied field

E_0 = 5.0\times10^{4}\,\mathrm{V\,m^{-1}}

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

E_{\rm in}

inside the sphere. ((b)) Find the induced dipole moment

p

of the sphere.