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GATE ECE 1996 | Question 1.20

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A metal sphere with $1 \mathrm{~m}$ radius and a surface charge density of $10 \; \mathrm{Coulombs / m}^{2}$ is enclosed in a cube of $10 \mathrm{~m}$ side. The total outward electric displacement normal to the surface of the cube is

  1. $40 \pi$ Coulombs
  2. $10 \pi$ Coulombs
  3. $5 \pi$ Couloms
  4. None of these

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