Initially we have a ball of charge with radius R and uniform positive charge density p. Then we scoop out a spherical cavity of radius R/2 so that the cavity is centered halfway from the center of the ball. (See figure below.) a) What is the direction of the electric field at point A? (Hint: Use superposition. This charge distribution is the sum of a positive ball of radius R and a smaller negative ball of radius R/2.) R/2 b) Consider the region entirely outside the charge distribution. In this region, what does the field of the large positive ball look like? What does the field of the smaller negative ball look like in this region? c) Based on your answers to part (b), what does the net electric field outside the charge distribution look like? d) Find the magnitude and direction of the electric field vector at points A and B. e) Find the magnitude and direction of the electric field vector at the point located a distance R/2 directly to the left of point A. * R/2

Initially we have a ball of charge with radius R and uniform positive charge density p. Then we scoop out a spherical cavity of radius R/2 so that the cavity is centered halfway from the center of the ball. (See figure below.) a) What is the direction of the electric field at point A? (Hint: Use superposition. This charge distribution is the sum of a positive ball of radius R and a smaller negative ball of radius R/2.) R/2 b) Consider the region entirely outside the charge distribution. In this region, what does the field of the large positive ball look like? What does the field of the smaller negative ball look like in this region? c) Based on your answers to part (b), what does the net electric field outside the charge distribution look like? d) Find the magnitude and direction of the electric field vector at points A and B. e) Find the magnitude and direction of the electric field vector at the point located a distance R/2 directly to the left of point A. * R/2