An earthed conducting cylinder of radius

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Conductors, capacitance and boundary-value electrostatics · Conductors, capacitance and boundary-value electrostatics

The Boundary-Value Problem, Ch Cylindrical geometry, edges, and what a field does to a dipole

Problem

An earthed conducting cylinder of radius a=3.0 cma = 3.0\,\mathrm{cm}, very long compared with its radius, sits in a uniform field E0=2.5×105 V m−1E_0 = 2.5\times10^{5}\,\mathrm{V\,m^{-1}} directed perpendicular to its axis. ((a)) Find the maximum induced surface charge density on the cylinder. ((b)) Find the line dipole moment per unit length induced on the cylinder.

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