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Question: Answered & Verified by Expert
A solid sphere of radius $R$ carries a uniform volume charge density $\rho$. The magnitude of electric field inside the sphere at a distance $\mathrm{r}$ from the centre is
PhysicsElectrostaticsVITEEEVITEEE 2016
Options:
  • A $\frac{r \rho}{3 \varepsilon_{0}}$
  • B $\frac{R \rho}{3 \varepsilon_{0}}$
  • C $\frac{R^{2} \rho}{r \varepsilon_{0}}$
  • D $\frac{R^{3} \rho}{r^{2} \varepsilon_{0}}$
Solution:
2936 Upvotes Verified Answer
The correct answer is: $\frac{r \rho}{3 \varepsilon_{0}}$
$E=\frac{1}{4 \pi \varepsilon_{0}} \frac{q r}{R^{3}}=\frac{q}{\frac{4}{3} \pi R^{3}} \times \frac{r}{3 \varepsilon_{0}}=\frac{\rho \times r}{3 \varepsilon_{0}}$

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