2.10 A large parallel plate capacitor is made up of two plane conducting sheets withseparation D, one of which has a small hemispherical boss of radius a on its innersurface (D > a). The conductor with the boss is kept at zero potential, and theother conductor is at a potenti al such that far from the boss the electric field betweenthe plates is Ep.(a) Calculate the surface-charge densities at an arbitrary point on the plane andon the boss, and sketch their behavior as a function of distance (or angle).(b) Show that the total charge on the boss has the magnitude 3mé, Ega?.(c) If, instead of the other conducting sheet at a different potential, a point chargeq is placed directly above the hemispherical boss at a distance d from its center,show that the charge induced on the boss isd - a?q' = -q 1dyd + a?

Now we can say that in the given system the second conductor, which does not have the boss is away…

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