Question

A wire containing a charge of λ Coulombs per unit length is embedded along the axis of a cylinder of dielectric material. There is no free charge inside the dielectric. The composition of the dielectric is non-uniform, such that its permittivity is a function of the distance from the central axis, i.e. ε = ε(r).

(a) Find the displacement field, D as a function of distance from the central axis of the wire, r.

(b) if the electric field strength, E, is independent of r, determine the form of ε(r).

(c) Find an expression for the electrostatic potential as a function of r.

Answer 1

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