A wire containing a charge of λ Coulombs per unit length is embedded along the axis...

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).

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genius_generous answered 1 year ago

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