Promem 1 (3U [JOHN'S] An electric dipole consists of charges +29 and -Ze separated by 10 nm. It is placed in a space right above a thin uniformly charged sheet placed in a horizontal xz plane with a surface charge density of a = -80pC/m2. a) (15 points) Using Gauss' law, determine, what is the direction and magnitude of the Electric field generated by the sheet with uniform surface charge distribution -80 pC/m2 . If you remember the result without derivation and certain of it, you may use it. b) (15 points) What is the torque exerted on a dipole by the Electric field of the sheet if the orientation of the dipole with respect to the positive x direction (regular right handed cartesian coordinate system) is 60 and the distance from the sheet to the dipole's mid point is 2 cm? Make sure to draw the dipole vector on the diagram with the thin wire below (Use following constants and definitions : e = -1.6 x 10-19 C, k: 8.99 x109 N m2/C2 , so = 8.854 x 10-12 CEINmZ, p (mikro) =10-6, n (nanno) = 10-9) sheet of charge