A solid sphere of radius R has a charge Q distributed in its volume with a charge density ρ=kra, where k and a are constants and r is the distance from its centre. If the electric field at r=R/2 is 1/8 times that at r=R, find the value of a.

A solid sphere of radius R has a charge Q distributed in its volume wi

1.	A solid sphere of radius R has a charge Q distributed in its volume with a charge density ρ=kra, where k and a are constants and r is the distance from its centre. If the electric field at r=R/2 is 1/8 times that at r=R, find the value of a.
Answer» A solid sphere of radius $R$ has a charge $Q$ distributed in its volume with a charge density $ρ = k r^{a}$ , where $k$ and $a$ are constants and $r$ is the distance from its centre. If the electric field at $r = R / 2$ is 1/8 times that at $r = R$ , find the value of $a$ .

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A solid sphere of radius R has a charge Q distributed in its volume with a charge density ρ=kra, where k and a are constants and r is the distance from its centre. If the electric field at r=R/2 is 1/8 times that at r=R, find the value of a.

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