Question

A short electric dipole of dipole moment $\vec{p}$ is placed at a distance r from the centre of a solid metallic sphere of radius a (<< r) as shown in the figure. The electric field intensity at the centre of sphere C due to induced charge on the sphere is
(a) zero
(b) $\frac{1}{4\pi\epsilon_{0}}\frac{2p}{r^{3}}$ along CO
(c) $\frac{1}{4\pi\epsilon_{0}}\frac{2p}{r^{3}}$ along OC
(d) $\frac{1}{4\pi\epsilon_{0}}\frac{p}{r^{3}}$ along CO

Answer 1

Can't understanding the diagram

Answer 2

Answer:

$\scriptsize\mathtt \pink{=\frac{1}{4 \pi \varepsilon_{0}} \frac{q_{1}}{r_{1 p }^{2}} \hat{ r }_{1 P }+\frac{1}{4 \pi \varepsilon_{0}} \frac{q_{2}}{r_{2 P }^{2}} \hat{ r }_{2 P }+\ldots .+\frac{1}{4 \pi \varepsilon_{0}} \frac{q_{n}}{r_{n P }^{2}} \hat{ r }_{n P }}$