Let $P\left( r \right) = \frac{Q}{{\pi {R^4}}}r$ be the charge density distribution for a solid sphere of radius $R$ and total charge $Q$. For a point $P$ inside the sphere at distance $r_1$ from the centre of the sphere, the magnitude of electric field is
Let $P\left( r \right) = \frac{Q}{{\pi {R^4}}}r$ be the charge density distribution for a solid sphere of radius $R$ and total charge $Q$. For a point $P$ inside the sphere at distance $r_1$ from the centre of the sphere, the magnitude of electric field is
- A
zero
- B
$\frac{Q}{{4\pi {\varepsilon _0}r_1^2}}$
- C
$\frac{{Qr_1^2}}{{4\pi {\varepsilon _0}{R^4}}}$
- D
$\frac{{Qr_1^2}}{{3\pi {\varepsilon _0}{R^4}}}$
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- [IIT 2012]
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