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

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

Solution

$
\begin{array}{l}
\text {Intensity of electric field due to a Dipole }\\
\mathrm{E}=\frac{p}{4 \pi \varepsilon_{0} r^{3}} \sqrt{3 \cos ^{2} \theta+1} \Rightarrow E \propto \frac{1}{r^{3}}
\end{array}
$

Asked in: JEE Mains - Electrostatics - Test 5

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