Answer the following questions

Answer a and b (a) use gauss's law to derive an expression for the magnitude of the electric field in the region outside the sphere Instructions Answer all the questions. Write legibly. . Question 1 . . . . (8 + 6 points) Consider a sphere with radius a and a concentric spherical shell with radius b around it. The (inner) sphere carries uniform volume charge density p and the (outer) spherical shell a uniform surface charge density g. dw = Question be is below (b) Assume that the charge distributions is such that the electric field outside of the shell, where r > b, is gi by E = -3,f Calculate the electric potential in this region. Choose the reference point where the potenti zero, at infinity. nunation ? ........... (6 + 4 + 6 poi