• # question_answer The plates of small size of a parallel plate capacitor are charged as shown. The force on the charged particle of 'q' at a distance $\ell$ from the capacitor is : (Assume that the distance between the plates is $d<<\ell )$ A) Zero                  B) $\frac{Qqd}{2\pi {{\in }_{0}}{{\ell }^{3}}}$ C) $\frac{Qqd}{\pi {{\in }_{0}}{{\ell }^{3}}}$                 D) $\frac{Qqd}{4\pi {{\in }_{0}}{{\ell }^{3}}}$

Correct Answer: A

Solution :

[B] The two plates acts as a dipole $\therefore$Force on charge q; $F=Eq=\left( \frac{2kQd}{{{\ell }^{3}}} \right).q=\frac{Qqd}{2\pi {{\varepsilon }_{0}}{{\ell }^{3}}}.$

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