cau 1: suppose there is a point charge placed at the center of a sphere with a defined radius. How will the magnitude of the electric field strength at the sphere and the electric field flux across the sphere change when the sphere radius is reduced by half? (a) both flux and electric field strength increase. (b) both flux and electric field strength decrease. (c) The flux increases while the electric field strength decreases. (d) The flux decreases while the electric field strength increases. (e) The flux is reduced while the electric field strength remains.