(a) There is a long uniformly charged cylinder having a volume charge density of `rho C//m^3`. Radius of the cylinder is R. Find the electric field at a point at a distance x from the axis of the cylinder for following cases (i) x lt R (ii) x gt R What is the maximum field produced by the charge distribution at any point? (b) The cylinder described in (a) has a long cylindrical cavity. The axis of cylindrical cavity is at a distance a from the axis of the charged cylinder (see figure). Find electric field inside the cavity.

Answer

(a). (i) `(rhox)/(2epsilon_(0)x)`
(ii) `(rhoR^(2))/(2epsilon_(0)x)` field at the surface is maximum
`E_(max)=(rhoR)/(2epsilon_(0))`
(b). `vecE=(rhoveca)/(2epsilon_(0))`