Question

Intensity of an electric field (E) depends on distance r, due to a dipole, is related as
(a) $E\propto\frac{1}{r}$
(b) $E\propto\frac{1}{r^{2}}$
(c) $E\propto\frac{1}{r^{3}}$
(d) $E\propto\frac{1}{r^{4}}$

Answer 1

Answer:

C)  E∝ 1/r³

Explanation:

The distance from the center of the dipole will be r and and an angle theta with the dipole will be formed. The component of dipole moment will be cos Ф. Thus,  the point will be along the axis of this dipole-component and the field generated due to this component will be -

E1=2kpcos Ф /r³ in the direction of r.

Thus, the electric field intensity at a far point from the centre of the dipole varied with distance as - 1/r³. Thus, the intensity of an electric field (E) depends on distance r, due to a dipole, is related as E∝ 1/r³.

Answer 2

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Intensity of an electric field (E) depends on distance r, due to a dipole, is related as

(a) $E\propto\frac{1}{r}$

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