3. A uniformly charged non-conducting sphere of volume charge density +3.0 UC/m' and of radius 2 cm is placed at the origin. An infinitely large, flat, uniformly charged, non-conducting sheet of surface charge density -5 nC/m? is placed in the y-z plane at x=5 cm. a) What is the net electric field, in unit-vector notation, at (x=0, y=3 cm, z=0)? b) What is the net electric field in unit vector notation at (x=3 ccm, y=3 cm, z=0)? c) What are the magnitude and direction of the electric fields found in (a) and (b)? d) If the sphere was conductive, would you expect the answers for (a) and (b) to change? Why or why not? (no calculations needed)