Question:

Consider the force $\mathrm{F}$ 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?

  1. (1) $\mathrm{F}=\frac{1}{4 \pi \varepsilon_{0}} \frac{Q q}{R^{2}}$ for $r

  2. (2) $\frac{1}{4 \pi \varepsilon_{0}} \frac{Q q}{R^{2}}>\mathrm{F}>0$ for $r

  3. (3) $\mathrm{F}=\frac{1}{4 \pi \varepsilon_{0}} \frac{Q q}{R^{2}}$ for $r>R$

  4. (4) $\mathrm{F}=\frac{1}{4 \pi \varepsilon_{0}} \frac{Q q}{R^{2}}$ for all $r$

Correct Option: , 3

Solution:

(3) For spherical shell

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