TS EAMCET · Physics · Electrostatics
A spherical volume contains a uniformly distributed charge of density \(1.0 \times 10^{-6} \mathrm{C} / \mathrm{m}^3\). Find the electrical field (in N/C) at a point inside the volume at a distance \(1 \mathrm{~mm}\) from the centre. \(\left(\right.\) Let \(\left.\frac{1}{4 \pi \epsilon_0}=9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2}\right)\)
- A \(\frac{8}{\pi}\)
- B \(6 \pi\)
- C \(\frac{\pi}{6}\)
- D \(12 \pi\)
Answer & Solution
Correct Answer
(D) \(12 \pi\)
Step-by-step Solution
Detailed explanation
Given, the volume charge density of sphere, \(\begin{aligned} \rho_v & =1 \times 10^{-6} \mathrm{C}^2 \mathrm{~m}^3, \\ \frac{1}{4 \pi \varepsilon_0} & =9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2} \\ r & =1 \mathrm{~mm}=10^{-3} \mathrm{~m}\end{aligned}\) Charge on sphere, \(q=\)…
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