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Consider a sphere of radius R with charge density distributed as
a) Find the electric field at all points r.
(b) Suppose the total charge on the sphere is 2e where e is the electron charge. Where can two protons be embedded such that the force on each of them is zero? Assume that the introduction of the proton does not alter the negative charge distribution.
Two fixed, identical conducting plates , each of surface area S are charged to –Q and q, respectively, where . A third identical plate (), free to move is located on the other side of the plate with charge q at a distance d (Fig 1.13). The third plate is released and collides with the plate β. Assume the collision is elastic and the time of collision is sufficient to redistribute charge amongst
(a) Find the electric field acting on the plate before the collision.
(b) Find the charges on β and after the collision.
(c) Find the velocity of the plate after the collision and at a distance d from the plate β.
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