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JEE Main20206 Sep 2020Evening ShiftPhysicsElectrostaticsActual

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?

Options

  1. AF = 1 4 π ∈ 0 Qq R 2 for r < R
  2. B1 4 π ∈ 0 qQ R 2 > F > 0 for r < R
  3. CF = 1 4 π ∈ 0 Qq r 2 for r > R
  4. DF = 1 4 π ∈ 0 Qq r 2 for all r

Correct answer

C. F = 1 4 π ∈ 0 Qq r 2 for r > R

Step-by-step solution

E = O ,   r < R = qQ r 2 ,   r ≥ R Inside F = 0 and outside sphare F = 2 Qq 4 π ∈ 0 r 2

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