For a charged spherical ball, electrostatic potential inside the ball varies with $r$ as $V = 2a{r}^{2} + b$ .
Here, $a$ and $b$ are constant and $r$ is the distance from the center. The volume charge density inside the ball is $- \lambdaaε$ . The value of $\lambda$ is ______.
$ε =$ permittivity of medium.

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For a charged spherical ball, electrostatic potential inside the ball varies with $r$ as $V = 2a{r}^{2} + b$ .

Here, $a$ and $b$ are constant and $r$ is the distance from the center. The volume charge density inside the ball is $- \lambdaaε$ . The value of $\lambda$ is ______.

$ε =$ permittivity of medium.

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Correct answer: 0

As we know, E = - (dV)/(dr) = - 4ar Now, electric field inside the charged sphere is given by E = (ρr)/(3ε) . Comparing both, we get ρ = - 12aε . Therefore, λ = 12 .

For a charged spherical ball, electrostatic potential inside the...

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