A sphere of water ( ) is placed in a uniform applied electric field

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Electric fields in matter · Electric fields in matter

The Boundary-Value Problem, Ch Magnetisation, bound currents and H, completed

Problem

A sphere of water (εr=80\varepsilon_r = 80) is placed in a uniform applied electric field E0=500 V m−1E_0 = 500\,\mathrm{V\,m^{-1}}, far from any conductors. ((a)) Find the interior field EinE_{\rm in} and the interior displacement DinD_{\rm in}. ((b)) Express Ein/E0E_{\rm in}/E_0 as a fraction. By what factor does the sphere change EE, and by what factor DD, from their applied values, and which of the two would a test charge inside the sphere feel?

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