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mvpshaq32
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Homework Statement
A long coaxial cable consists of an inner cylindrical conductor with radius a and an outer coaxial cylinder with inner radius b and outer radius c. The outer cylinder is mounted on insulating supports and has no net charge. The inner cylinder has a uniform positive charge per unit length [tex]\lambda[/tex]
Find the charge per unit length on the inner surface and on the outer surface of the outer cylinder.
Homework Equations
[tex]\lambda[/tex]= Q / L
[tex]\phi[/tex]= EA = 2[tex]\pi[/tex]rL = Q / [tex]\epsilon_{0}[/tex]
The Attempt at a Solution
I solved in previous parts that the magnitude of the electric field at any point between the cylinders a distance r from the axis and the magnitude of the electric field at any point outside the outer cylinder a distance r from the axis is both [tex]\lambda[/tex] / 2[tex]\pi[/tex]r[tex]\epsilon_{0}[/tex].
But I have no idea how to find [tex]\lambda_{inner}[/tex] or [tex]\lambda_{outer}[/tex]