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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Electrostatics

Olympiad workbook · NSEP · Electrostatics

A small dipole is placed at the origin with its dipole moment P =p...

A small dipole is placed at the origin with its dipole moment

\vec{P}=p \hat{i}

oriented along

x

axis. E and V , are respectively, the Electric field and potential at point

\mathrm{A}(x, y)

. The observations at the Point

\mathrm{A}(x, y)

which is at a large distance r from the origin, show that

Options

AE_x=\frac{1}{4 \pi \varepsilon_0} \frac{p $\left(2 x^2-y^2\right)}{r^5}$
BE_x=\frac{1}{4 \pi \varepsilon_0} \frac{p $\left(x^2-2 y^2\right)}{r^5}$
C $E_y=\frac{1}{4 \pi \varepsilon_0} \frac{3 p x y}{r^5}$
D $V=\frac{1}{4 \pi \varepsilon_0} \frac{\vec{P} \cdot \vec{r}}{r^3}$

Correct answer

D. $V=\frac{1}{4 \pi \varepsilon_0} \frac{\vec{P} \cdot \vec{r}}{r^3}$

Step-by-step solution

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