Q1 A hollow spherical conductor of internal radius R2 and external radius R3surrounds a conductive sphere of radius R1, which is charged with a charge Q,as shown in Figure Q1.

Derive the expression for the magnitude of the electric field E(r), for r between 0 and o. Note that r = 0 is the origin of the spherical reference system, as shown in Figure Q1. hence or otherwise, derive the expression for the scalar potential V (r),between 0 and infinity Give a qualitative graphical representation for the functions E(r)(magnitude of the electric field) and V(r) (scalar potential), considering R1 = 30 cm, R2Use the appropriate emits on the graphs. Write the values of the electric field in the dielectric side of the interface for each of the metallic50 cm, R3 = 80 cm, and Q= 800 x 10-12 C.surfaces. Write the values for the potential at r = 0, r =R1, r = R2,and r == R3. Briefly describe what happens to the scalar potential and electric field in the region with R