A) \[{{E}_{a}}=4{{E}_{q}}\]
B) \[{{E}_{q}}=2{{E}_{a}}\]
C) \[{{E}_{a}}=2{{E}_{q}}\]
D) \[{{E}_{q}}=3{{E}_{a}}\]
Correct Answer: C
Solution :
Intensity of electric field at a point on the axis of dipole is given by \[{{E}_{a}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\cdot \frac{2p}{{{r}^{3}}}N/C\] ? (i) where, \[p\] is dipole moment. Intensity of electric field at a point on the equatorial line of dipole is given by \[{{E}_{q}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\cdot \frac{p}{{{r}^{3}}}N/C\] ... (ii) Dividing Eq. (i) by Eq. (ii), we get \[\frac{{{E}_{a}}}{{{E}_{q}}}=\frac{2}{1}\Rightarrow {{E}_{a}}=2{{E}_{q}}\]You need to login to perform this action.
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