...Front Matter Written by a recognized expert in the field, Electrostatics of Conducting Cylinders and Spheres presents the theory in a simple and physical way, beginning with basic principles and moving onto the details of electrostatics of pairs of spheres and of pairs of cylinders...

...Electrostatics electrical conductor conformal differential geometry coordinate system Electrostatics of Conductors We start with Gauss's law and Maxwell's formulation of Faraday's law: (1.1) ∇ ⋅ E = 4 π ρ ( ∇ ⋅ E = ρ / ε 0 in S I ) , (1.2) ∇ × E...

...Coordinate system partial differential equations electrostatics electromagnetism cylinder apparatus electrical conductor Bispherical Coordinates Bispherical coordinates are tailor-made for two-sphere problems, because a fixed value of one coordinate corresponds to the surface of a sphere...

...surface collisions polarizability electrostatics electromagnetism cylinder apparatus electrical conductor Uncharged Spheres in a Longitudinal External Field We wish to find the electric potential in all of space when two uncharged spheres (of radii a, b and separation...

...electrostatics electromagnetism cylinder apparatus electrical conductor Bicylindrical Coordinates Bicylindrical coordinates are tailor-made for problems involving two parallel cylinders, because a fixed value of one coordinate (u) corresponds to the surface of a cylinder...

...electrostatics electromagnetism cylinder apparatus electrical conductor Uncharged Cylinders in an External Field Single cylinder in an external field To discuss the polarizability tensor of a system of two cylinders, it will help to recall the polarizability of one cylinder (Sec. 1.5...

...electrostatics electromagnetism cylinder apparatus electrical conductor Historical Introduction The history of this subject goes back to Henry Cavendish (1731–1810), whose electrical research was written up by James Clerk Maxwell (1831–1879) when he became Cavendish Professor at Cambridge...

...Index Written by a recognized expert in the field, Electrostatics of Conducting Cylinders and Spheres presents the theory in a simple and physical way, beginning with basic principles and moving onto the details of electrostatics of pairs of spheres and of pairs of cylinders...