Say you have two conducting spheres separated by some distance. One has a certain positive charge and the other is attached to ground and has no net charge at first. 1.When the second sphere is charged by induction, does it gain the same amount of net charge but of opposite sign as the initially charged conductor? 2.Does the distance between the conducting spheres determine the amount of charge that the second sphere will gain? 3. Is there a way to calculate how much charge the second sphere will get as a function of some properties of the air and the distance between the two spheres? *This is not a homework problem just a conceptual question. Thank you.