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AP EAMCET · PHYSICS · Electrostatics

An electrostatic paint sprayer has a metal sphere of diameter \(18 \mathrm{~cm}\) and at a potential of \(25 \mathrm{kV}\). The charge on the metal sphere is

  1. A \(0.25 \mu \mathrm{C}\)
  2. B \(2.5 \mu \mathrm{C}\)
  3. C \(0.5 \mu \mathrm{C}\)
  4. D \(25 \mu \mathrm{C}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(0.25 \mu \mathrm{C}\)

Step-by-step Solution

Detailed explanation

As, \(V=\frac{k q}{r}\) So, \(q=\frac{V \times r}{k}=\frac{25 \times 10^3 \times 9 \times 10^{-2}}{9 \times 10^9}\) \(=25 \times 10^{-8} \mathrm{C}=0.25 \mu \mathrm{C}\)