(a). Use the method in part (b) of the previous problem of calculate the electrostatic self energy of a uniformly charegd sphere of radius R having charge Q. (b). Divide the above sphere (mentally) into two regions-spherical concentric part having radius `(R)/(2)` and the remaining annular part (between `(R)/(2)` and R). Denote the point charges in sphere of radius `R//2` by `q_(1),q_(2),q_(3)` .. . .etc. The charges in annular part be denoted by `Q_(1),Q_(2),Q_(3)` . . . etc. Calculate the electrostatic interaction energy for all pairs like `[(Q_(i),Q_(j))+(q_(i)+q_(j))]`.

(a). Use the method in part (b) of the previous problem of calculate

1.	(a). Use the method in part (b) of the previous problem of calculate the electrostatic self energy of a uniformly charegd sphere of radius R having charge Q. (b). Divide the above sphere (mentally) into two regions-spherical concentric part having radius `(R)/(2)` and the remaining annular part (between `(R)/(2)` and R). Denote the point charges in sphere of radius `R//2` by `q_(1),q_(2),q_(3)` .. . .etc. The charges in annular part be denoted by `Q_(1),Q_(2),Q_(3)` . . . etc. Calculate the electrostatic interaction energy for all pairs like `[(Q_(i),Q_(j))+(q_(i)+q_(j))]`.
Answer» Correct Answer - (a). `(3)/(5)(Q^(2))/(4pi epsi_(0)R)` (b). `(147)/(320)(Q^(2))/(4pi epsi_(0)R)`

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