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Two point charges −q-q and +q+q are placed at a distance of 2L2L, as shown in the figure. The magnitude of electric field intensity at a distance R(R>>L)R (R >> L) varies as:

1

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

2

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

3

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

4

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

Step-by-Step Solution

For R>>LR >> L, the arrangement acts as an electric dipole. The electric field intensity EE of a dipole at an axial or equatorial point is given by E=2p4πϵ0R3E = \frac{2p}{4\pi\epsilon_0 R^3} (for axial) or E=p4πϵ0R3E = \frac{p}{4\pi\epsilon_0 R^3} (for equatorial), where p=q(2L)p = q(2L). In both cases, E∝1R3E \propto \frac{1}{R^3}.

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