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Physics Question on Electric Field

Two point charges -q and +q are placed at a distance of L, as shown in the figure.
Two point charges -q and +q
The magnitude of electric field intensity at a distance R (R>>L) varies as:

A

1R2\frac{1}{R^2}

B

1R3\frac{1}{R^3}

C

1R4\frac{1}{R^4}

D

1R6\frac{1}{R^6}

Answer

1R3\frac{1}{R^3}

Explanation

Solution

It is electric dipole at large distance electric field density
E=KPR31+3cos⁡2θE=\frac{KP}{R^3}\sqrt{1+3\cos^2\theta}
∴ E∝1R3\therefore\ E \propto \frac{1}{R^3}
Therefore, the correct option is (B) : 1R3\frac{1}{R^3}