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AP EAMCET · PHYSICS · Electrostatics

A uniformly charged conducting sphere of \(2.4 \mathrm{~m}\) diameter has a surface charge density of \(80.0 \mu \mathrm{C} \mathrm{m}^{-2}\). The charge on the sphere is nearly

  1. A \(2.5 \times 10^{-3} \mathrm{C}\)
  2. B \(1.45 \times 10^{-3} \mathrm{C}\)
  3. C \(6.5 \times 10^{-3} \mathrm{C}\)
  4. D \(0.15 \times 10^{-3} \mathrm{C}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1.45 \times 10^{-3} \mathrm{C}\)

Step-by-step Solution

Detailed explanation

Diameter of sphere \(\mathrm{d}=2.4 \mathrm{~m}\) Radius, \(\mathrm{r}=\frac{\mathrm{d}}{2}=1.2 \mathrm{~m}\) Surface charge density, \(\sigma=80 \times 10^{-6} \mathrm{C} \mathrm{m}^{-2}\) Charge on the sphere, \(\mathrm{Q}=\sigma \mathrm{A}\)…
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