One of the hazards facing humans in space is space radiation: high energy charged particles emitted by the sun. During a solar flare the intensity of this radiation can reach lethal levels. One proposed method of protection for astronauts on the surface of the moon or Mars is an array of large electrically charged spheres placed high above areas where people live and work. The spheres would produce a strong electric field E to deflect the charge particles that make up space radiation. The spheres would be similar in construction to a Mylar balloon, with a thin electrically conducting layer on the outside surface on which a net + or-charge would be placed. A typical sphere might be 5m in diameter. (a) To repel electrons in the radiation from a solar flare each sphere must produce an Electric field 1 x 10° N/C at 25 m from the center of the sphere. What net charge on sphere is needed? (b) What is E just outside the surface of the sphere? (c) What is the direction of E just outside the sphere?) (d) What is the E value and direction inside a negatively charged sphere?