Two particles, each of positive charge q, are fixed in place on a y axis, one at y = d and the other at y = –d. Write an expression that gives the magnitude E of the net electric field at points on the x axis given by x = αd. Determine the value of α that gives (a) the maximum value of E. Determine the values of α that give half the maximum value of E. Let (b) be the lesser of the two values of α, and (c) the greater of the two values.