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JEE Main 2020 (6 Sep, Shift 2) · Electric Flux & Gauss's Law

Electric Flux & Gauss's Law question from JEE Main 2020 (6 Sep, Shift 2)

Q92JEE Main 2020 · 6 SEP · SHIFT 2Easy

Electric Flux & Gauss's Law

Consider the force F on a charge 'q' due to a uniformly charged spherical shell of radius R carrying charge Q distributed uniformly over it. Which one of the following statements is true for F, if 'q' is placed at distance r from the centre of the shell?

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Answer: (b)

  1. Inside a uniformly charged shell (r<Rr < R): E=0E = 0, so F=0F = 0.
  2. Outside (r>Rr > R): the shell acts as a point charge at the centre, F=14πε0qQr2F = \dfrac{1}{4\pi\varepsilon_0}\dfrac{qQ}{r^2}.
  3. So the answer is (b).
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