Please help me with these questions with detailed explanation!

Problem: A metal sphere of radius R is centered to the origin and it carrier a charge Q. At a distance r> R from the origin, there is a point-like charge of 30, located outside of the metal sphere. Find the magnitude of the electric field in the origin. Assume charges have reached equilibrium. 1 3Q E =- AREO R2 1 30 E = - ANEO 12 1 Q E= - O AREO R2 E = - 1 Q ATED 1-2 Problem: A thin plastic spherical shell with radius 5 cm has a charge Q = 3 e (where e is the charge of a proton) distributed evenly over its surface. At the center of the hole is a point charge q = -3 e. What would be the force on a point charge of 1.8 e displaced cm from the point charge q? o N O N O N o N O NProblem: A small charge Q = 5 x 10" C is placed at the location m, as shown in the diagram. Find the electric field at the location P = m. 0 -11.25 N/C 0 0.36 N/C 0 0.36 N/C 0 11.25 N/C 0 0.36 N/C Problem: A dipole consists of two charges: +1 x 10"" C and -1 x 10"" C. The positive charge is placed at m, whereas the negative one at m, as shown in the diagram. What is the magnitude of the electric field due to this dipole at location P = m ? D 0.28 N/C D 2.8 N/C OL.1 N/C 0 0.56 N/C 0 1,4 N/C