Verified Solution • 2025–26 Session moderate

QJEEM20Phe0b6: JEE Main 2020 Physics - Class 12 JEEM20Phe0b6 Solution: Consider the force F on a charge 'q' due to a uniformly charged …

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?

Multiple Choice Options

  • A 14πε0qQR2>F>0{1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{R^2}}} > F > 0 for r < R
  • B F=14πε0qQr2F = {1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{r^2}}} for r > R
  • C F=14πε0qQr2F = {1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{r^2}}} for all r
  • D F=14πε0qQR2F = {1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{R^2}}} for r < R

Step-by-Step Verified Solution

JEE Main 2020 (Online) 6th September Evening Slot Physics - Electrostatics Question 145 English Explanation
Inside the shell for r < R

E = 0

hence F = 0

Outside the shell

E = 14πε0Qr2{1 \over {4\pi {\varepsilon _0}}}{Q \over {{r^2}}}

hence F = 14πε0Qqr2{1 \over {4\pi {\varepsilon _0}}}{{Qq} \over {{r^2}}} for r > R

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