For a charged spherical ball, electrostatic potential inside the … - Vidyadip

Question

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

✓

Answer

$E =-\frac{ dV }{ dr }=-4 ar \equiv \frac{\rho r }{3 \varepsilon_0} \text { (compare) }$

Result inside uniformly charged solid sphere.

$\rho=-12 a \varepsilon_0$

$\lambda=12$

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