In vacuum some change is distributed in the form of a sphere with radius 'a' obeying the condition = (1-x/a) where x=instantaneous distance from the centre.Compute electric field as a function of x where x is less than 'a' and
when x=a
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The volume density is spherically symmetric. Hence the electric filed will be in the radial direction. We can imagine a Gaussian surface as a sphere of radius x (<a) = SE.ends = VdV / E(4x2) = 0x(1-x/a) 4x3dx/ E(4x2) = 4(x4/4-x5/5a) E =(x2/4-x3/5a) E =x2(5a-4x)/20a At x = a, E = a2(5a-4a)/20a = a2/20
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30
=
= S
dV /
x2) = 0
