Electric Charges and Fields - Result Question 30
30. Intensity of an electric field $(E)$ depends on distance $r$, due to a dipole, is related as
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(a) $E \propto \frac{1}{r}$
(b) $E \propto \frac{1}{r^{2}}$
(c) $E \propto \frac{1}{r^{3}}$
(d) $E \propto \frac{1}{r^{4}}$
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Answer:
Correct Answer: 30. (c)
Solution:
(c) Intensity of electric field due to a Dipole
$E=\frac{p}{4 \pi \varepsilon_0 r^{3}} \sqrt{3 \cos ^{2} \theta+1} \Rightarrow E \propto \frac{1}{r^{3}}$