Question

Two small beads having positive charges 3q and q are fixed at the opposite ends of a horizontal, insulating rod, extending from the origin to the point x = d. A third small charged bead is free to slide on the rod. The ratio of the fixed charges is r (i.e., r = the charge on the bead at distance d divided by the charge of the bead at the origin). The equilibrium position of the free central bead x is given by the expression:

a. x = d/(1-r)

b. x = d/(1 - sqrt(r))

c. x = d/(1 + sqrt(r))

d. x = d/2

e. x = d/(1 + r)

Answer 1

Third small charged (q) bead is free to sli de on the rod means net electric force acting on this charge due to other charge is zero Therefore k(3q) (4) k() 굿 (d-x) it is mention that r-q 3q 1/3 (d )' = x 1+yr option cis correct choice