A negative point charge -q is placed at the center of a conducting spherical shell with inner radius a and outer radius b. The spherical shell has zero net charge. ) (a) [12 pts] What is the magnitude of the electric field as a function of the distance rfrom the point charge? Your answer should consider three regions separately: i. r (3 (outside the shell) (b) [4 pts] What is the value of the electric potential V, relative to infinity, at r = b? (c) [4 pts] Sketch a graph ofthe electric potential V, relative to infinity, as a function of the distance r from the point charge. Make sure to indicate the value of Vat r = o and at r = b