$1($a$)$Sketch the electric field between $2$ oppositely charged parallel plates. Assume the plates are infinitely large.

$[2$ marks$]$

$($b$)$ A non$-$conducting rod of length I is lying along the $y-$axis as shown in Figure $1.$ The rod has a uniform positive charge density $$ and a total charge $Q.$ Calculate the electric field at point P due to the rod. In your answer, please mention the direction and magnitude of the electric field at point $P.$

$[7$ marks$]$

$2$ Figure $2$ shows a uniformly charged non$-$conducting ring of radius $R.$ The charged ring has a charge density $.$ Point $P$ located at a distance $Z$ from the central axis. $r$ is the distance between point P and the infinitesimal charge element $dq.$ What is the electric potential at point P in terms of $Z,R$ and $?$

$[6$ marks$]$