A) \[\frac{1}{r}and\frac{1}{{{r}^{2}}}\]
B) \[\frac{1}{{{r}^{2}}}and\frac{1}{r}\]
C) \[\frac{1}{{{r}^{2}}}and\frac{1}{{{r}^{3}}}\]
D) \[\frac{1}{{{r}^{3}}}and\frac{1}{{{r}^{2}}}\]
Correct Answer: D
Solution :
Electric field and electric potential at a general point at a distance r from the centre of the dipole is\[{{E}_{g}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{p}{{{r}^{3}}}\sqrt{(3{{\cos }^{2}}\theta +1)}\] and \[{{V}_{g}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{p\cos \theta }{{{r}^{2}}}\]
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