## Electric field of a dipole

Griffiths problem 4.11 page 170
A short cylinder of radius a and lenght L carries a frozen in uniform polarization P parallel to its axis. Find the bound charge and sketch theelectric field for
L>> a
L<<a
L approximately equal to a

well i have no problem finding the bound charge but the electricfield.. would in eed to find an explicit expression or just sketch it qualitatively??

Suppoose L << a then it look a dipole doesnt it and the field falls off like 1/r^3
suppose L >> a then it looks like an infinite rod and the electric field falls off like 1/r

but For L approx equal to a im stumped...