MHT CET · Physics · Electrostatics
The electric field intensity on the surface of a charged solid sphere of radius ' \(r\) ' and volume charge density' \(\rho\) ' is given by
- A zero
- B \(\frac{\rho r}{3 \varepsilon_0}\)
- C \(\frac{1}{4 \pi \epsilon_0} \frac{\rho}{\mathrm{r}}\)
- D \(\frac{5 \rho r}{6 \epsilon_0}\)
Answer & Solution
Correct Answer
(B) \(\frac{\rho r}{3 \varepsilon_0}\)
Step-by-step Solution
Detailed explanation
The electric field intensity on the surface is given by
But \(q=\frac{4}{3} \pi r^3 \rho\)
Putting this value of q in Eq. (1) and simplifying we get
\(E=\frac{\rho r}{3 \varepsilon_0}\)
But \(q=\frac{4}{3} \pi r^3 \rho\)
Putting this value of q in Eq. (1) and simplifying we get
\(E=\frac{\rho r}{3 \varepsilon_0}\)
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