If the electric field strength in air exceeds 3.0 ✕ 106 n/c, the air becomes a conductor. using this fact, determine the maximum amount of charge that can be carried by a metal sphere 1.8 m in radius. (hint: review properties of conductors in electrostatic equilibrium. also, use that the points on the surface are outside a spherically symmetric charge distribution; the total charge may be considered to be located at the center of the sphere.)