Question: A potential field in free space is given in spherical coordinates as where Ï 0 and a are constants. (a) Use Poissons equation to find

A potential field in free space is given in spherical coordinates as

[Po/(6e0)][3a? – r²] (r<a) V(r) = (a³ po)/(3eor) (r > a)


where ρ0 and a are constants.

(a) Use Poisson€™s equation to find the volume charge density everywhere.

(b) Find the total charge present.

[Po/(6e0)][3a? r] (r a)

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