The electric potential in a region is given as V = - 4ar 2 + 3b, where r is distance from the origin, a and b are constants. If the volume charge density in the region is given by 
, then what is the value of n?
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V = -4ar 2 + 3b
The small amount of flux d φ φ associated with the closed surface bounded by two spheres of radius r and r + dr is
d φ φ = (E + dE) (A + dA) - EA
d φ φ = Ed A + dEA
dE = 8adr and dA = 8πrdr
Using Gauss's law
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