Question

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3. Two identical insulating spheres A and B are fixed radially at the ends of an insulating thin rod D, as shown in Fig. 3. The spheres are uniformly charged with negative volume charge density (-p). A small positively charged bead C (charge q, mass m) can move without friction along the rod. The geometrical dimensions are shown in the figure. D Figure 3: Illustration for problem 3. The bead is shown at rest right on the surface of sphere A, to which it is obviously attracted by the Coulomb force. What minimal velocity vo should be given to the bead that it would be able to cross over to sphere B? What would be velocity v of the bead then when it approaches sphere B?

Answer 1

cas The bead should be given a minimum velouty Vo , such that it just reaches the point of Zero electric field between the two spheres, after that bead will attracted towards the get Splena B Now since field is Zero at mid point of both spheres Applyng conservation of Enery: s)x 9 + 5 mv3 = Lx (Sx una -LxPxy (a+b) Yaco - 2x1 with him (Se faisney s ee maqat tax open to room - { myo >> = Very lat tentang seoran) Armen

(by reaching Sphere B will velouty of bead on be same ie vo Answer: Vo