The electric field caused by the static charge distribution in cylindrical coordinates is expressed as follows. , Here 2, a are fixed. a) Show that this is a valid electric field and find the charge distribution leading to this field. b) Determine the work required to assemble this load distribution.

The electric field caused by the static charge distribution in cylindrical coordinates is expressed as follows. , Here 2, a are fixed. a) Show that this is a valid electric field and find the charge distribution leading to this field. b) Determine the work required to assemble this load distribution.