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AP EAMCET · PHYSICS · Electrostatics

Three point charges \(1 \mathrm{C}, 2 \mathrm{C}\) and \(3 \mathrm{C}\) are placed at the comers of an equilateral triangle of side one metre. The work done to move these charges to the corners of another equilateral triangle of side \(0.5 \mathrm{~m}\) is

  1. A \(199 \times 10^9 \mathrm{~J}\)
  2. B \(19 \times 10^9 \mathrm{~J}\)
  3. C \(99 \times 10^9 \mathrm{~J}\)
  4. D \(29 \times 10^9 \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(99 \times 10^9 \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

Initial potential energy of system of charges \(\mathrm{U}_{\mathrm{i}}=\mathrm{k}\left[\frac{\mathrm{q}_1 \mathrm{q}_2}{\mathrm{r}}+\frac{\mathrm{q}_2 \mathrm{q}_3}{\mathrm{r}}+\frac{\mathrm{q}_3 \mathrm{q}_1}{\mathrm{r}}\right]\) Substitute the necessary values,…
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