A solid insulating sphere of 1.0 cm radius is uniformly charged throughout its volume with an unknown total charge Q. The electric field generated by the charged sphere is measured to be 100,000 N/C at a location 2.0 cm from the center of the sphere. Also, the electric field is observed to point away from the center of the sphere. a) Determine the magnitude and sign of Q. (3 points) b) Calculate the electric field at a location 0.50 cm from the center and indicate its direction. (5 points)