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

Question

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

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

$ε =$ permittivity of medium.

TestHub · Accepted Answer

As we know, E = - d V d r = - 4 a r Now, electric field inside the charged sphere is given by E = ρ r 3 ε . Comparing both, we get ρ = - 12 a ε . Therefore, λ = 12 .

Physics - Elecrostatics Question with Solution | TestHub

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