Q$225$ points$)$

A long coaxial cable has an inner conductor radius $"\backslash ($ a $\backslash )"$ and an outer conductor with inner radius $"\backslash ($ b $\backslash )"$ and outer radius $"\backslash ($ c $\backslash )"$ as shown in the longitudinal cross section. The two conductors are separated by a dielectric material of relative permittivity $\backslash (\backslash$varepsilon$\_\{7\}\backslash )$ If a free charge density $16\backslash (\backslash$mathrm$\{$C$\}/\backslash$mathrm$\{$m$\}\backslash )$ is placed on the inner conductor, Find: $\backslash (\backslash$quad $\backslash$overline$\{$S $1\}=\backslash$mathbf$\{$R$\}\backslash )$

a$)$ Electric field every where

b$)$ The capacitance between the two conductors per meter

c$)$ The force between the two conductors per meter