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1. Electric Charges and Fields
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The value of electric potential at any point due to any electric dipole is
A
$k.\frac{{\mathop p\limits^ \to \times \mathop r\limits^ \to }}{{{r^2}}}$
B
$k.\frac{{\mathop p\limits^ \to \times \mathop r\limits^ \to }}{{{r^3}}}$
C
$k.\frac{{\mathop p\limits^ \to .\mathop r\limits^ \to }}{{{r^2}}}$
D
$k.\frac{{\mathop p\limits^ \to .\mathop r\limits^ \to }}{{{r^3}}}$
Solution
Potential due to dipole in general position is given by
$V = \frac{{kp\cos \theta }}{{{r^2}}} \Rightarrow V = \frac{{kp\cos \theta r}}{{{r^3}}} = \frac{{k.\mathop p\limits^ \to .\mathop r\limits^ \to }}{{{r^3}}}$
Standard 12
Physics
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