Question 407: Electrostatics & Capacitance

Question

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?

Accepted Answer

Inside the shell for r  R

Answer

$${1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{R^2}}} > F > 0$$ for r < R

Answer

$$F = {1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{r^2}}}$$ for r > R

Answer

$$F = {1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{r^2}}}$$ for all r

Answer

$$F = {1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{R^2}}}$$ for r < R

Electrostatics & Capacitance

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?

Choose the correct answer: